If 7% of a number K is 91, then what is the value of K?

• 1300
• 1400
• 1200
• 1500

If 17% of a number K is 280, then what is 51% of K?

• 720
• 840
• 960
• 780

If 28⁴⁄₇% of a number K is 400, then what is 42⁶⁄₇% of K?

• 500
• 550
• 600
• 650

P% of p is 36. Then p (p > 0) is equal to

• 3600
• 600
• 60
• 15

The square root of a number is increased by 40%, and the result is 21. Find the original number.

• 225
• 256
• 324
• 400

SSC CPO 2025

10% of x = y, then y% of 60 is the same as

• 60% of x
• 40% of x/10
• 40% of x
• 6% of x

If 10% of 40% of ¹⁄₃ of a number is 512, find the number.

• 38400
• 37410
• 38610
• 40870

RRB Group D 2026

Half of one fourth of one percent, written in decimal, is

• 0.025
• 0.05
• 0.125
• 0.00125

(0.1667 × 0.8333 × 0.3333) ÷ (0.2222 × 0.6667 × 0.1250) is approximately equal to

• 4.5
• 2.5
• 0.25
• 0.5

SSC CGL 2025 T-2

¹⁄₂₀ is what percentage of ⁹⁄₁₀₀? (round off to two decimal places)

• 111.11%
• 70.55%
• 65.55%
• 55.56%

RRB Group D 2026

If A = 80 and B = 70, then A is what percent of B?

• 110%
• 114.28%
• 120%
• 105%

If A = 80 and B = 70, then B is how much percent less than A?

• 10%
• 12.5%
• 15%
• 20%

If A = 80 and B = 70, then A is how much percent more than B?

• 12.5%
• 14.28%
• 15%
• 20%

If A’s income is 60% less than B’s income, then B’s income is what percentage more than that of A’s income?

• 40%
• 80%
• 120%
• 150%

SSC CGL 2019 Tier-2

If A’s salary is 16% more than that of B, then by what percentage is B’s salary less than that of A (correct to two decimal places)?

• 13.62%
• 12.72%
• 13.79%
• 15.05%

RRB NTPC 2025

If 120 is increased by 10%, what is the new value?

• 130
• 135
• 128
• 132

If A is decreased by x%, what is the new value?

• A(100 + x)⁄100
• Ax⁄100
• A − x
• A(100 − x)⁄100

If the price of an article is increased by 25%, then by how much percentage should the new price be reduced to bring it down to its original price?

• 14.28%
• 20%
• 10%
• 25%

If the price of an article is increased by 12.5%, then by how much percentage should the new price be reduced to bring it down to 90% of its original price?

• 14.28%
• 20%
• 10%
• 11.11%

A is 20% more than B. Find A : B.

• 6 : 5
• 5 : 6
• 4 : 5
• 5 : 4

B is 30% of A. Find A : B.

• 3 : 10
• 10 : 3
• 7 : 10
• 10 : 7

A is 22²⁄₉% less than B. Find A : B.

• 8 : 9
• 9 : 8
• 7 : 9
• 9 : 7

By how much is 60% of 75 greater than ¹⁄₅ of 25?

• 37
• 40
• 38
• 34

SSC CGL 2024 T-2

If 25% of k is 10 less than 1200% of 25, then k is

• 1120
• 1200
• 1140
• 1160

RRB NTPC 2025

What is to be subtracted from 35% of 180 so that the remainder is equal to half of 25% of 360?

• 40
• 18
• 27
• 53

If 20% of a number is added to 60, then the result is the same number. 70% of the same number is

• 82.5
• 62.5
• 52.5
• 72.5

RRB Group D 2026

If 7% of a number is 21, then what will be the value of that number when 25% of itself is subtracted?

• 200
• 225
• 250
• 275

SSC Phase XIII

If 20% of (A + B) = 30% of (A − B), then what percentage of B is equal to A?

• 500%
• 400%
• 300%
• 100%

SSC CGL 2022 Tier-2

If (x + 20)% of 250 is 25% more than x% of 220, then 10% of (x + 50) is what percent less than 15% of x?

• 16²⁄₃
• 8¹⁄₃
• 33¹⁄₃
• 13¹⁄₃

SSC CGL 2019 Tier-2

Two numbers are, respectively, 10% and 25% more than the third number. The ratio of the two numbers is

• 23 : 25
• 18 : 25
• 22 : 25
• 19 : 25

SSC CGL 2022 Tier-2

Two numbers are respectively 10% more and 20% less than the third number. By how much percent is the second number less than the first number?

• 15%
• 27%
• 25%
• 20%

A number is 60% more than the second number and the second number is 25% less than the third number. By how much percent is 80% of the third number less than the first number?

• 33.33
• 25
• 30
• 22.22

A sports shop has tennis balls of 3 colours — red, green and white. The number of white balls is 60% more than the number of red balls and the number of green balls is 12.5% less than the number of white balls. If the total number of balls is 120, then how many green balls are there?

• 48
• 40
• 30
• 42

SSC CGL 2020 Tier-1

A is 20% more than B, and B is 50% less than C. If C is 40% more than D, then A is what percentage less than D?

• 10%
• 12%
• 15%
• 16%

If 20% of a number is subtracted from a second number and the second number decreases to its 70%, then what is the ratio of the first number to the second number?

• 3 : 2
• 3 : 4
• 2 : 3
• 4 : 3

Selection Post XI

The income of A is 25% less than the income of B and the income of B is 113.6% more than that of C. If the income of A is Rs.80,100, then the income (in Rs.) of C is

• 40,000
• 50,000
• 48,000
• 36,000

A is 80% more than B and C is 48⁴⁄₇% less than the sum of A and B. By what percent is the difference of A and B less than C?

• 44.44
• 45
• 45.45
• 40

Sum of A and B is 300% more than the sum of C and D. C is 50% more than D. If A is 200% more than B and D = 200, then what is the value of A?

• 1500
• 1400
• 1200
• 1250

SSC CHSL 2025

The income of A is 45% more than the income of B and the income of C is 60% less than the sum of the incomes of A and B. The income of D is 20% more than that of C. If the difference between the incomes of B and D is Rs.13,200, then the income (in Rs.) of C is

• 75,000
• 73,500
• 72,500
• 72,000

SSC CGL 2020 Tier-1

The train fare from A to B in second class AC and third class AC is Rs.2,500 and Rs.2,000 respectively. If the fares are increased by 20% and 10% respectively, find the ratio of the new fares of second class AC and third class AC.

• 12 : 11
• 13 : 11
• 15 : 11
• 15 : 13

SSC CGL 2019 Tier-2

In an examination, Rahul scored 432 marks out of a maximum of 600 marks. What is the percentage of marks obtained by him?

• 70
• 72
• 53
• 45

Kalpana and Sudha got 696 and 584 marks respectively in the same examination. If Kalpana scored 87% marks, then what is the percentage of marks scored by Sudha?

• 76%
• 72%
• 74%
• 73%

RRB NTPC 2025

R targets to score 85% marks in an exam. He scores 450 marks and misses the target by 35%. How much increment in percentage should there be in his scored marks to meet the target?

• 70
• 35
• 53
• 45

SSC CGL 2024 T-1

A student scores 38% and fails by 12 marks. If passing is 40%, what are the maximum marks of the exam?

• 450
• 500
• 550
• 600

Delhi Police Constable 2025

Girish scored 664 marks in an examination and was 8 marks short of 84% of the maximum marks. In the same examination, his friend scored 472 marks. What is the percentage of marks scored by his friend?

• 61%
• 56%
• 59%
• 58%

RRB JE 2026

A candidate scores 19% marks in a test and fails by 20 marks. Another student who gets 320 marks fails by 80 marks. Find (I) passing marks, (II) total marks, (III) passing percentage.

• 400, 2000, 20%
• 200, 1000, 10%
• 5000, 2000, 25%
• 200, 2000, 15%

A certain number of students from school X appeared in an examination and 30% failed. 150% more students than those from school X appeared in the same examination from school Y. If 80% of the total number of students who appeared from X and Y passed, then what is the percentage of students who failed from Y?

• 18
• 24
• 16
• 20

SSC CGL 2019 Tier-2

Madan got 9 out of 10 marks in English, 15 out of 16 in life sciences, and the ratio of the percentage of his marks in English and Mathematics is 15 : 16. If the total marks of Mathematics are 20, then find the difference of the percentage of his marks in Mathematics and life sciences.

• 2.25%
• 3.5%
• 4.35%
• 5.25%

RRB JE 2026

A candidate attempted 75% of the questions in an exam. He got 80% of the attempted ones correct, and 10% of the unattempted ones were also awarded marks due to grace. If the total number of questions is 200, how many did he get right?

• 130
• 135
• 120
• 125

SSC CGL 2025

There are 160 multiple choice questions in a test. 4 marks are allotted for a correct answer and 1 mark is deducted for a wrong or unattempted question. If a candidate scored 400 marks, how many questions did he answer correctly?

• 120
• 115
• 112
• 110

SSC CHSL 2024 T-1

If the numerator of a fraction is increased by 12% and its denominator is reduced by 8%, it gives a new fraction ¹⁶⁄₁₇. What is the original fraction?

• ¹¹⁹⁄₉₂
• ²³⁄₂₈
• ⁹²⁄₁₁₉
• ²⁸⁄₂₃

Selection Post XI

A student was asked to multiply a number by ³⁄₄. By mistake, he multiplied the number by ⁴⁄₃. Find 28.56% of the percentage fault.

• 13.48%
• 22.22%
• 12.5%
• 125%

By mistake, the reciprocal of a positive fraction got typed in place of itself, and thereby its value got reduced by ¹⁷⁵⁄₄%. What was the value of the fraction?

• ¹⁄₂
• ⁴⁄₃
• ³⁄₄
• ¹⁄₄

SSC CGL 2020 Tier-1

A fraction ³⁄₅ is decreased by ²⁄₅. The resulting fraction is then increased by 20%. What is the percentage decrease or increase in the value of the original fraction?

• Decrease, 60%
• Increase, 50%
• Increase, 60%
• Decrease, 50%

SSC CHSL 2024 T-1

A fraction in reduced form is such that when it is squared and then its numerator is increased by 25% and the denominator is reduced to 80%, it results in ⁵⁄₈th of the original fraction. Find the product of its numerator and denominator.

• 6
• 12
• 10
• 7

The ratio of the numerator to the denominator of a fraction is 1 : 5. When x and 5x are added to the numerator and denominator respectively, then the ratio of the new fraction will be

• 1 : 1
• 1 : 25
• 1 : 5
• 2 : 7

When 5 is added to both the numerator and the denominator of a positive fraction, the new ratio of numerator to denominator becomes 11 : 15. What is the original ratio?

• 17 : 25
• 3 : 5
• 28 : 40
• Cannot be determined

Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kg of fresh fruit?

• 32 kg
• 40 kg
• 52 kg
• 80 kg

SSC CPO 2018

A salary was increased by 20% and then the new salary was decreased by 20%. The percentage change in the salary is

• 4% decrease
• 4% increase
• 8% increase
• 8% decrease

Delhi Police Constable 2025

The price of a product is decreased by x% and then increased by x%. The final price becomes 10% less than the original. What is the value of x (approximately)?

• 31.6
• 33.6
• 30.6
• 39.6

SSC CGL 2025

A number is increased by 25%, and subsequently decreased by 15%. Find the net percentage increase or decrease.

• 7.93% decrease
• 7.23% increase
• 9.18% decrease
• 6.25% increase

Selection Post XI

Two successive increments of 30% each is by what percentage more than two successive decrements of 30% each? (correct to two decimal places)

• 32.54%
• 25.25%
• 28.15%
• 35.29%

SSC CGL 2023 Tier-1

The cost price of an article is decreased by 10% and then increased by 20%. If the final price is Rs.540, then the original cost price is

• Rs.550
• Rs.650
• Rs.500
• Rs.600

SSC CGL 2023 Tier-1

Amit gets a 6% increase in his sale amount in the first year and 20% in the second year. With that his present sale is Rs.2,54,400. What was his sale (in Rs.) two years ago?

• 1,80,000
• 2,40,000
• 2,12,000
• 2,00,000

SSC CGL 2024 T-2

Two years ago, the population of a town was 94,87,500. Due to migration to big cities, it decreases every year at the rate of 8%. The present population of the town is

• 80,30,220
• 70,60,320
• 80,70,120
• 90,60,110

SSC CGL 2024 T-2

The price of an article is increased by r%. The new price was decreased by r% later. Now the latest price is Rs.1. What was the original price of the article?

• 10000⁄(10000 − r²)
• 100⁄(100 − r²)
• 100⁄(1 − r²)
• (10000 − r²)⁄10000

SSC CGL 2023 Tier-1

The price of an item is increased twice successively. The final price is Rs.2,295 and the initial price was Rs.1,000. The percentage increment the second time was twice the percentage increment the first time. By what percentage was the price increased the second time?

• 35%
• 25%
• 65%
• 70%

SSC CGL 2024 T-1

The value of equipment depreciates by 20% each year. How much percent less will the value of the equipment be after 3 years from the beginning?

• 48.8%
• 51.2%
• 54%
• 60%

The value of equipment depreciates by 14²⁄₇% in the first year, 12¹⁄₂% in the second year and 11.11% in the third year. How much percent less will the value be after 3 years from the beginning?

• 48.8%
• 33.33%
• 54%
• 60%

A number is first increased by 12% and then increased by 23%. The number so obtained is now decreased by 34%. What is the net increase or decrease percent in the original number (nearest to an integer)?

• 9% decrease
• 9% increase
• 10% decrease
• 10% increase

SSC CGL 2024 T-1

The population of a country increases by 10% each year. How much percent more will the population be after 4 years from the beginning?

• 33.1%
• 40%
• 46.41%
• 60%

The price of fuel decreases by 25%, 15% and 45% in three successive months, but increases by 65% in the fourth month. What is the percentage increase or decrease in the price of fuel in the fourth month as compared to its original price?

• Decreases by 37.35%
• Increases by 38.95%
• Increases by 47.41%
• Decreases by 42.14%

SSC GD 2025

The population of a town in 2008 was 80,000. In 2009 and 2010, the population increased by 26% and 22.22% respectively. In 2011 it decreased, and in 2012 it again increased by 36.36%. If at the end of 2012 the population was 1,05,000, find the percentage decrease in population in 2011.

• 37.5%
• 30%
• 25%
• 40%

The price of a one gram gold coin decreased by 10% on Monday, increased by 20% on Tuesday, again increased by 8% on Wednesday and 5% on Thursday. If the final price on Thursday is Rs.5,511.24, then the initial price (in Rs.) of a 3 gram gold coin on Monday was

• 13500
• 12750
• 12000
• 15000

The population of a town increases by 10% every year. If the difference between its population at the end of the third and the fourth year is 550, then what will be 20% of its population at the end of the second year?

• 1,000
• 2,000
• 4,500
• 4,000

What will be the difference in population 3 years ago and 2 years ago of a town whose current population of 2,60,000 is increasing at a rate of 25% every year?

• 32,730
• 33,280
• 33,630
• 32,530

RRB NTPC 2025

The population of a city grew from 20 lakh to 22 lakh in one year. Find the rate of growth per annum.

• 10%
• 15%
• 20%
• 25%

The income of a company increases by x% per year. If its income is Rs.31,25,000 in 2019 and the income in 2017 was Rs.20,00,000, then what is the value of x?

• 20
• 15
• 18
• 25

SSC Selection Post Ph-IX

The population of a place increased to 50,000 from 2016 to 2018 at the rate of 6% per annum, and continued the same trend for the next 3 years. If A is the population in 2016 and B is the population in 2020, both approximated to the next possible integer, then the value of B − A is

• 13220
• 12850
• 11680
• 16270

SSC CGL 2024 T-2

If a number is first increased by 15% then reduced by 15%, it results in 1564. If the same number is first reduced by 25% and again reduced by 20%, then what will be the resulting number?

• 712
• 960
• 750
• 600

The owner of a shop increases the price of an article by x% and then decreases it by x%. As a result the price is reduced by Rs.180. After one more such change, the price is further reduced by Rs.150. Find the original price of the article.

• 1600
• 1620
• 1080
• 1700

The population of country A decreased by p% and the population of country B decreased by q% from 2020 to 2021, where p is greater than q. Let x be the ratio of the population of country A to that of country B. What is the percentage decrease in x from 2020 to 2021?

• 100(p − q)⁄(100 + p)
• 100(p − q)⁄(100 − p)
• 100(p − q)⁄(100 + q)
• 100(p − q)⁄(100 − q)

SSC CGL 2022 Tier-1

A worker’s working hours per day increased by 15% and his wages per hour were increased by 20%. By how much percent did his daily earnings increase?

• 36
• 40
• 35
• 38

When the price of a book is reduced by 16%, its sale increases by 80%. What is the net percent increment in the revenue?

• 50.6%
• 49.2%
• 51.2%
• 48.8%

RRB Group D 2026

The number of seats in a cinema hall is increased by 46% and the price per ticket is decreased by 46%. Find the percentage change in the revenue collected.

• 21.15% increase
• 21.16% decrease
• 21.16% increase
• No change

When the price of an item was reduced by 25%, its sale increased by x%. If there is an increase of 30% in the revenue, then the value of x is

• 73.33
• 75.73
• 76.24
• 75.37

A supply of juice lasts for 35 days. If its use is increased by 40%, the number of days the same amount of juice lasts is

• 25
• 30
• 24
• 27

The length of a rectangle is increased by 40% and its breadth is reduced by 20%. Find the percentage change in its area.

• 12%
• 10%
• 20%
• 15%

The radius of a sphere is decreased by 20%. Find the percentage change in its volume.

• 51.2% increase
• 51.2% decrease
• 60% decrease
• 48.8% decrease

A water tank is a cylinder with radius and height in the ratio 1 : 3. If the radius is increased by 20%, what is the percentage increase in volume?

• 22%
• 44%
• 77%
• 83%

SSC CPO 2025

The base of a triangle is increased by 50%. By what percentage should its height be increased so that the area increases by 80%?

• 15%
• 20%
• 14%
• 18%

Due to an increase of k% in the side, the area of a square increases by 69%. What is the value of k?

• 30
• 33
• 34.5
• 35

The length of a cuboid is increased by 50%, the breadth is decreased by 20% and the height is decreased by x%. Due to this, the volume of the cuboid decreases by 4%. Find the value of x.

• 20
• 30
• 10
• 15

A person wants to buy 10 chairs. The total cost of 10 chairs is Rs.4,500. After bargaining, the shopkeeper agrees to decrease the cost of each chair by 20%. Then the person purchased 10% more chairs. What will be the cost of the chairs that he purchased?

• Rs.4,100
• Rs.3,900
• Rs.3,960
• Rs.3,260

SSC CHSL 2024 T-1

Deepa saves 30% of her salary. If she receives Rs.42,000 per month as her salary, what is her monthly expenditure?

• Rs.29,100
• Rs.29,200
• Rs.29,300
• Rs.29,400

SSC CGL 2022 Tier-2

If an employee’s income is Rs.72,000, the amount he spends is 40% higher than his savings. Therefore, his savings (in Rs.) is

• 34000
• 32000
• 28000
• 30000

SSC CGL 2024 T-1

Total savings of X and Y is 40% of their total income. Their average expenditure is Rs.21,000. What is the total salary of X and Y?

• Rs.70,000
• Rs.55,000
• Rs.65,000
• Rs.60,000

Selection Post XI

Salaries of B, C, D and E are in the ratio 2 : 3 : 4 : 5 respectively. Their salaries increased by 20%, 30%, 40% and 50% respectively. If the increased salary of D is 560, then what is the sum of the original salaries of B, C, D and E?

• Rs.1400
• Rs.1260
• Rs.1560
• Rs.1820

SSC CGL 2021 Tier-2

Last year, Geeta’s monthly salary was Rs.12,000 and Seeta’s was Rs.10,000. This year, Geeta’s salary is Rs.14,400 and Seeta’s is Rs.12,500. If the percentage increase for Seeta is x% and for Geeta is y%, then what is the value of ((x − y)⁄y × 100)%?

• 22
• 24
• 25
• 20

SSC CHSL 2024 T-1

The expenditure and savings of a person are in the ratio 4 : 3. His savings increase by ¹⁄₅ of his income and the income remains the same. What is the new ratio of his expenditure and savings?

• 12 : 17
• 14 : 17
• 13 : 22
• 15 : 13

SSC CHSL 2022

Vikas spends 70% of his income. When his income increased by 48%, his expenditure increased by 30%. The percentage increase in his savings is

• 78%
• 90%
• 82%
• 65%

The expenditure of Sudha is 175% more than her savings. If her expenditure decreases by 12% and savings increase by 40.5%, then by what percent does her income increase?

• 4%
• 5%
• 2%
• 7%

SSC GD 2025

A person saves 16²⁄₃% of his income. If the saving increases by 36% and the expenditure increases by 60%, then the percentage increase in his income is

• 64%
• 49%
• 56%
• 42%

Lucky spends 60% of her income. If her expenditure increases by x%, savings increase by 20% and income increases by 59%, then what is the value of x?

• 80
• 74
• 85
• 70

Ritu’s monthly savings are 28% of her monthly expenditure. If her monthly income increases by 45% and the monthly expenditure increases by 54.1%, then by what percentage do her monthly savings increase?

• 10.5%
• 9.1%
• 11.1%
• 12.5%

ICAR Technician 2022

Ravi initially used to save 20% of his monthly income. Recently his monthly income was raised by 25%. His nominal savings also went up by 5%. What percentage of his present nominal income does Ravi currently save?

• 16.8%
• 20%
• 15%
• 25%

SSC CGL 2023 Tier-1

Ramu used to spend 72% of his income. His income has increased by 12%, and he increases his expenditure by 5%. If Ramu earlier saved y and after the increases he now saves x, then what is the value of ((x − y)⁄y × 100)%?

• 27%
• 30%
• 22%
• 25%

SSC CHSL 2024 T-1

The expenditure on the cost of living of a man and his family is 60% of his salary. He gets two increments of 30% and 60% in his salary. If his saving increases by 250% of his initial saving, then the new cost of living expenditure is what percentage (rounded off to the nearest integer) of the increased salary?

• 32.7%
• 29.5%
• 36.6%
• 43.6%

SSC CGL 2022 Tier-1

The monthly income of a person was Rs.80,000 and his monthly expenditure was Rs.45,000. Next year, his income increased by 16% and his expenditure increased by 8%. Find the percentage increase in his savings (correct to 2 decimal places).

• 25.35%
• 26.29%
• 44.36%
• 30.25%

Selection Post XI

The monthly expenses of a person are 66²⁄₃% more than her monthly savings. If her monthly income increases by 44% and her monthly expenses increase by 60%, then there is an increase of Rs.1,040 in her monthly savings. What is the initial expenditure (in Rs.)?

• 10000
• 9,000
• 13,000
• 12,000

SSC CGL 2020 T-2

The income of Raman is Rs.68,800. He saves 18.5% of his income. If his income increases by 17% and expenditure increases by 25%, then his savings will

• decrease by Rs.2,325
• increase by Rs.2,325
• decrease by Rs.2,322
• increase by Rs.2,319

RRB Group D 2026

A family income is Rs.35,000 in a month, spent on food, health, education, entertainment and rent, after which 8% is saved. The expenditure on health is 50% more than that of food, food is three times the expenditure on entertainment, health is half of the expenditure on education, and rent is one-third of the combined expenditure on food, health and education. How much expenditure (in Rs.) is incurred on education?

• 13200
• 12600
• 8400
• 7700

SSC CGL 2023 Tier-1

The monthly salary of a person was Rs.1,60,000, spent on three heads — personal and family expenses (P), taxes (T) and education loan (E) — the rest being his savings. P was 50% of the income, E was 20% of P, and T was 15% of E. When his salary got raised by 30%, he maintained the percentage level of P, but E became 30% of P and T became 20% of E. The sum of the two savings (in Rs.) is

• 1,28,160
• 1,18,620
• 2,11,680
• 1,62,810

SSC CGL 2020 T-2

Out of the total income, a family saves 15% and the rest is spent on three types of expenditure — health, education and food in the ratio 1 : 2 : 2. The income is Rs.300 less than thrice the expenditure incurred on education. What is the difference between the savings and the expenditure incurred on health?

• Rs.350
• Rs.500
• Rs.2,250
• Rs.300

Selection Post XI

The ratio of the incomes of A and B is 3 : 5, whereas the ratio of their expenditure is 4 : 7 respectively. If A and B save Rs.16,000 and Rs.26,000 respectively, then what is the difference between their expenditures?

• 6800
• 5400
• 5000
• 6000

The ratio of the incomes of A and B is 5 : 7. A and B save Rs.4,000 and Rs.8,000 respectively. If the expenditure of A is equal to the expenditure of B, then the total income of A and B is

• 28,800
• 25,200
• 24,000
• 26,400

The ratio of the monthly incomes of A and B is 4 : 5 and the ratio of their monthly savings is 14 : 19. If the monthly expenditure of A and B is Rs.1,200 each, then what is the difference between their monthly incomes?

• Rs.5000
• Rs.2000
• Rs.4000
• Rs.1000

SSC CGL 2021 Tier-2

The annual incomes of A and B are in the ratio 4 : 3 and the ratio of their expenditures is 3 : 2. If each of them saves Rs.600 in the year, the annual income of A is

• Rs.4800
• Rs.1800
• Rs.1200
• Rs.2400

For 2 consecutive years, the ratio of my incomes is 2 : 3, and the ratio of my expenditures is 5 : 9. If my income in the second year is Rs.45,000 and my expenses in the first year are Rs.25,000, my total savings for the two years is

• 12000
• 15000
• 10000
• 5000

Incomes of A and B are in the ratio 3 : 4 and their expenditures are in the ratio 4 : 7, and their savings are equal. If A saves Rs.800 more and B increases his expenditure by Rs.400, the savings are in the ratio 7 : 4. Find the average of the incomes of A and B.

• 2800
• 3500
• 4200
• 4000

The ratio of the monthly incomes of X and Y is 12 : 11 and that of their monthly expenditures is 13 : 11. If the income of Y is equal to the expenditure of X, then what is the ratio of the savings of X and Y?

• 12 : 19
• 7 : 22
• 13 : 22
• 6 : 13

P’s income is 250% of Q’s income and P’s expenditure is 180% of Q’s expenditure. If P’s income is 400% of Q’s expenditure, then what is the respective ratio of P’s savings and Q’s savings?

• 11 : 3
• 5 : 2
• 8 : 3
• 11 : 5

SSC CHSL 2022

P’s income is 150% of Q’s income and P’s expenditure is 60% of Q’s expenditure. If Q saves 20% of his income, then what percentage does P save of his own income?

• 72%
• 75%
• 60%
• 68%

SSC CHSL 2022

The income of A is 80% of B’s income and the expenditure of A is 60% of B’s expenditure. If the income of A is equal to 90% of B’s expenditure, then by what percentage are the savings of A more than B’s savings?

• 125%
• 140%
• 150%
• 100%

SSC CGL 2020 T-2

The incomes of P, Q and R are in the ratio 10 : 12 : 9 and their expenditures are in the ratio 12 : 15 : 8. If Q saves 25% of his income, then what is the ratio of the savings of P, Q and R?

• 21 : 15 : 14
• 21 : 14 : 15
• 14 : 15 : 21
• 15 : 14 : 21

SSC CGL 2024 T-1

The ratio of the income of Anil and Mukesh is 2 : 3. The sum of their expenditure is Rs.8,000 and the amount of savings of Anil is equal to the amount of expenditure of Mukesh. What is the sum of their savings?

• 22,000
• 4,000
• 16,000
• 12,000

Combined incomes of A, B and C is 1280. If they save 10%, 12% and 20% of their incomes, then their expenditures would be in the ratio 9 : 44 : 16. Find the combined income of B and C.

• 990
• 1120
• 1080
• 940

Three persons A, B and C whose salaries together amount to Rs.72,000 save 80, 85 and 75 percent of their salaries respectively. If their expenditures are in the ratio 8 : 9 : 20, then A’s salary is what percent of the sum of B and C’s salary?

• 28.56%
• 14.28%
• 25%
• 30%

The ratio of the income of A and B in 2020 was 9 : 8. The ratio of their individual incomes in 2020 and 2021 were 8 : 7 and 4 : 5 respectively. If the total income of A and B in 2021 was Rs.2,05,920, then what is the income (in Rs.) of B in 2021?

• 2,25,900
• 3,75,700
• 1,15,200
• 3,95,600

One year ago, the ratio between the salaries of A, B and C was 3 : 4 : 5. The individual ratios of their salaries of last year and the present year are 4 : 5, 2 : 3 and 3 : 4. If the sum of their present salaries is Rs.78,800, find the salary of A at present.

• 18000
• 22000
• 20000
• 10000

The ratio of the incomes of A and B last year was 4 : 3. The ratios of their individual incomes in the last year and the present year are 3 : 4 and 5 : 6 respectively. If their total income in the present year is Rs.24.12 lakhs, then the sum of the income (in Rs. lakhs) of A last year and that of B in the present year is

• 20.52
• 10.98
• 21.28
• 22.17

SSC CGL 2020 Tier-2

In 2020, the ratio of the incomes of A and B is 5 : 7. A and B save Rs.4,000 and Rs.5,000 respectively, and the expenditure of A is equal to 66²⁄₃% of the expenditure of B. If in 2021 the income of A increases by 27% and the income of B decreases by 11%, then the total income of A and B (in Rs.) in 2021 is

• 21,560
• 26,150
• 25,160
• 21,650

ICAR Technician 2023

Shiva’s monthly salary is Rs.75,000. He spends Rs.12,000 on household items, Rs.14,000 on LIC and mutual funds, Rs.15,000 on his children’s education, and keeps Rs.10,000 for miscellaneous expenses. His savings are Rs.21,000 per month and he donates the rest to an orphanage. The percentage of his income that he donates is

• 6%
• 3%
• 4%
• 8%

SSC CGL 2022 Tier-1

Manjit’s salary is Rs.10,000 per month. He spends Rs.6,000 on house rent and Rs.3,000 on bills, and the rest is his monthly savings. Find his savings (in Rs.) in a year, if in the month of his birthday he spent all his monthly savings on birthday celebrations.

• 12,000
• 11,000
• 9,000
• 10,000

RRB NTPC 2025

Jay spends 50% of his monthly income on grocery and bills, 20% on buying clothes, 5% on medicines, and the remaining amount of Rs.12,500 he saves. What is Jay’s monthly income?

• Rs.57,500
• Rs.45,000
• Rs.65,000
• Rs.50,000

Selection Post XI

A man spends 40% of his monthly salary on house rent. If every month he also spends Rs.442 on conveyance and Rs.9,115 on grocery and saves the remaining Rs.946, his monthly salary is

• Rs.17,468
• Rs.17,505
• Rs.17,475
• Rs.17,603

RRB NTPC 2025

A landlord bought a flat for Rs.8,00,000. He wants to earn a 9% annual return on his investment after paying Rs.2,000 per month in maintenance. What should be the monthly rent he charges?

• Rs.7,000
• Rs.7,500
• Rs.8,000
• Rs.8,500

SSC CGL 2025

A man loses 20% of his money and after spending 85% of the remainder, he is left with Rs.120. How much did he have at first?

• Rs.1,000
• Rs.1,200
• Rs.800
• Rs.500

SSC CGL 2022 Tier-1

Due to a water crisis, 40% of the initial population left the village and 35% of the remaining left to pursue a job. If presently 2,340 people inhabit the village, what is the ratio of the initial population to the present population?

• 100 : 49
• 100 : 39
• 103 : 43
• 105 : 40

RRB Group D 2026

From the salary of an engineer, if 15% is used as house rent, 25% of the remaining is spent on household items, 25% of the remaining as income tax, and 15% of the remaining on clothing, then he is left with Rs.10,404. Find his total salary.

• Rs.24,600
• Rs.23,600
• Rs.22,600
• Rs.25,600

SSC CHSL 2024 T-1

A man spends 35% of his monthly income on food and four-thirteenths of the remaining income on transport. He incurs some other expenses, but also saves Rs.6,300 per month, the latter being equal to 20% of the balance remaining just after spending on food and transport. What is his monthly income (in Rs.)?

• 70,000
• 67500
• 63000
• 72,000

SSC CHSL 2024 T-1

Raju spends 10 percent and 20 percent of his income on transport and food respectively. He spends 30 percent of the remaining income on clothing and saves the rest. If his saving is Rs.26,460, then what will be the total expenditure on food and clothing together?

• Rs.22140
• Rs.23440
• Rs.24480
• Rs.26420

SSC CGL 2021 Tier-2

The seats for Mathematics, English and Chemistry in a school are in the ratio 6 : 4 : 7. If these seats are increased by 20%, 40% and 60% respectively, the ratio of the increased seats is

• 7 : 9 : 14
• 9 : 7 : 8
• 1 : 2 : 3
• 9 : 7 : 14

SSC CGL 2023 Tier-1

In two successive years, 75 and 50 employees of a company appeared at the departmental examination. Respectively, 84% and 52% of them passed. The average rate of pass percentage is

• 41¹⁄₅%
• 71%
• 71¹⁄₅%
• 41%

SSC CHSL 2024 T-1

In a competitive exam with 120 questions there are three sections: General Knowledge (20 questions), Reasoning (50 questions) and English (50 questions). A candidate answered 70% of General Knowledge, 50% of Reasoning and 30% of English questions correctly. If the minimum passing score is 60%, how many more questions did the candidate need to answer correctly to pass?

• 2
• 15
• 18
• 20

SSC CGL 2025

The cost of a motorcycle is 60% less than the cost of a car. If the cost of the motorcycle increases by 40% and that of the car decreases by 10%, then what is the percentage increase or decrease in the total cost of 4 cars and 5 motorcycles?

• Increase by 6¹⁄₃%
• Increase by 6²⁄₃%
• Decrease by 6²⁄₃%
• Decrease by 4¹⁄₃%

ICAR Technician 2022

The cost of a table is 200% more than the cost of a chair and the cost of a chair is 20% less than that of an almirah. If the cost of each table and chair is decreased by 25% and the cost of an almirah increases by 25%, then the percentage increase or decrease in the total cost of 4 tables, 5 chairs and 8 almirahs is (correct to one decimal place)

• decrease by 6.5%
• increase by 5.5%
• increase by 4.2%
• decrease by 6.9%

ICAR Technician 2022

The ratio of the number of boys to that of girls in a village is 5 : 3. If 40% of the boys and 60% of the girls appeared in an examination, then the ratio of the number of boys and girls who appeared in the examination to the number who did not appear is

• 17 : 21
• 19 : 21
• 17 : 27
• 19 : 23

Selection Post XI

In a factory with 700 employees the ratio of the number of male employees to that of female employees is 4 : 3. There are 50% regular employees in the factory. If 65% of male employees are regular employees, then what is the percentage of regular female employees out of the total employees?

• 12.857%
• 13.85%
• 16%
• 11.5%

In a constituency, 45% of the total number of voters are males and the rest are females. If 60% of the males are illiterate and 60% of the females are literate, then by what per cent is the number of illiterate females more than that of literate males? (rounded off to 2 decimal places)

• 19.11%
• 27.23%
• 30.24%
• 22.22%

SSC CGL 2024 T-1

A sum of Rs.46,800 is divided among A, B, C and D such that the ratio of the combined share of A and D to the combined share of B and C is 8 : 5. The ratio of the share of B to that of C is 5 : 4. A receives Rs.18,400. If x is the difference between the shares of A and B and y is the difference between the shares of C and D, then what is the value of (x − y) in Rs.?

• 6500
• 6000
• 7000
• 5000

SSC CGL 2020 Tier-2

Three persons A, B and C donate 10%, 7% and 9% respectively of their monthly salaries to a charitable trust. Monthly salaries of A and B are equal and the difference between the donations of A and B is Rs.900. If the total donation by A and B is Rs.600 more than that of C, then what is the sum of the monthly salary (in Rs.) of A and C?

• 60000
• 50000
• 45000
• 80000

SSC CGL 2020

Due to an increase of 20% in the price of rice, the consumer decreases his consumption by 5%. What is the percentage change in total expenditure?

• 10%
• 14%
• 15%
• 12%

SSC CHSL 2022

If the price of petrol increased by 7%, then by what percentage should the consumption be decreased by the consumer, if the expenditure on petrol remains unchanged?

• 3⁴⁹⁄₁₀₇%
• 5¹¹⁄₁₀₇%
• 6⁵⁸⁄₁₀₇%
• 4⁹⁹⁄₁₀₇%

SSC CGL 2023 Tier-1

The price of sugar is increased by 20%. A person wants to increase his expenditure on sugar by only 10%. Find the percentage change in the consumption.

• 10%
• 8¹⁄₃%
• 8%
• 12%

If the price of rice is increased by 25%, then by what percentage should the consumption of rice be decreased so that the expenditure incurred on rice gets decreased by 40%?

• 48%
• 42%
• 43.33%
• 52%

SSC CHSL 2022

The price of a commodity is decreased by 25 percent and therefore a household increased the consumption of that commodity by 20 kg to keep the expenditure the same. What was the earlier consumption?

• 55 kg
• 60 kg
• 75 kg
• 45 kg

SSC CHSL 2022

When the price of sugar increased by 28%, a family reduced its consumption per month such that the expenditure on sugar was only 12% more than the earlier one. If the family consumed 18.4 kg sugar per month earlier, then what is its new consumption of sugar per month?

• 16.1 kg
• 16.6 kg
• 15.8 kg
• 15.75 kg

The price of cooking oil increased by 8%. A family uses 12 litres of cooking oil per month. If the original price was Rs.150 per litre, what is the additional annual expenditure (to the nearest Rs.) for the family due to the price hike?

• Rs.1,789
• Rs.1,700
• Rs.1,728
• Rs.1,765

SSC Phase XIII

A man saves a certain part of his monthly income so that he can purchase a car in 18 months. Find the percentage increase in his saving so that he can purchase the car in 15 months.

• 20%
• 25%
• 30%
• 45%

Due to a reduction of 6.25% in the price of sugar, a man can buy 1 kg more for Rs.120. The reduced price per kg of sugar is

• Rs.7.5
• Rs.7
• Rs.8
• Rs.6.5

RRB Technician Grade III 2024

The price of rice is decreased by 25 percent and therefore a person can purchase 30 kg more rice in the same expenditure. If the expenditure is Rs.5,400, then what was the original price of rice per kg?

• Rs.90 per kg
• Rs.75 per kg
• Rs.60 per kg
• Rs.50 per kg

SSC CGL 2021 Tier-2

An increase of 14²⁄₇% in the price of sugar enables a customer to buy 10 kg less for Rs.800. What is the original price of 5 kg of sugar?

• 10
• 60
• 50
• 90

A reduction of 30% in the price of bananas enables a customer to buy 8 more bananas for Rs.140. What is the reduced price of bananas per dozen?

• 82
• 63
• 88
• 90

A man’s annual income has increased by Rs.4 lakhs but the tax on income that he has to pay has reduced from 20% to 16%. He now pays the same amount of tax as before. What is his increased income (in Rs. lakhs)?

• 16
• 20
• 12
• 14

A man’s annual income is increased by Rs.5 lakhs, but the tax that he has to pay has reduced from 12% to 10%. He now pays Rs.10,000 more income tax. What is his increased income (in lakhs)?

• 20
• 25
• 15
• 10

SSC CGL 2017 Mains

If the income tax is increased by 19%, the net income decreases by 6%. Find the rate of income tax.

• 20%
• 24%
• 25%
• 30%

Income of a person decreased by Rs.3,000 and the rate of income tax increased from 15% to 18%. The ratio of the tax paid is 3 : 2 and 26.5% income is tax free. Find the initial income.

• 7000
• 6750
• 3750
• 5500

Suresh gets a commission of 6% up to a sale of Rs.10,000 and above this he gets 5% commission on the sale. If after deducting his commission he deposits Rs.75,900 to the company, find his total sale.

• 81,500
• 91,000
• 82,500
• 80,000

A salesman is hired with the condition that he will be given 6% commission on the sales done by him. Later it was decided that he will be given a monthly salary of Rs.1,200 and every month 3% commission will be awarded on sales above Rs.5,000. If in the second case his earnings are Rs.1,350 less than earlier, find 30% of his sales per month.

• 75000
• 80000
• 24000
• 90000

A vendor sells shirts at Rs.500 each, earning a 2% commission, and ties at Rs.150 each, with a 12% commission. If he sells 3 shirts and 4 ties per day, what will be his total commission earned in 30 days?

• Rs.2850
• Rs.3000
• Rs.3060
• Rs.3200

SSC CGL 2025

Two saleswomen, Kavitha and Kalyani, are allowed 12% and 15% commission respectively on the total sales made by them. Kavitha gets 3% and Kalyani gets 5% extra bonus on the sales over Rs.20,000. If the difference in total earnings of both is Rs.7,600, then Kavitha’s total earning is

• Rs.19,200
• Rs.21,600
• Rs.17,800
• Rs.23,400

ICAR Technician 2023

In 2010 there were two types of books in a library, fiction and non-fiction, totalling 11,500. Fiction books increased by 10% and non-fiction books increased by 12%, due to which in 2020 the total was 12,760. Find the number of non-fiction books in 2020.

• 6600
• 3200
• 5500
• 6160

The present population of a village is 15,280. If the number of males increases by 25% and the number of females increases by 15%, then the population will become 18,428. The difference between the present population of males and females in the village is

• 1840
• 1380
• 920
• 2760

SSC CGL 2020 Tier-1

In a certain year, the population of a city was 18,000. If in the next year the population of males increased by 5% and that of females increased by 7%, and the total population increased to 19,200, then what was the ratio of the populations of males and females in that given year?

• 3 : 5
• 1 : 5
• 4 : 3
• 2 : 5

SSC CGL 2023 Tier-1

A shopkeeper buys 4 tables and 7 chairs for a total of Rs.12,000. He sells the tables at a 15% profit and the chairs at a 10% profit. If his total profit from selling all the items is Rs.1,500, what is the cost price of 2 tables?

• 1500
• 2000
• 3000
• 3200

In a train, there are as many wagons as the number of seats in each wagon. If one of the wagons carrying 25 persons is filled to 71³⁄₇% of its capacity, find the maximum number of persons that can be accommodated if minimum 40% of the seats need to be always vacant.

• 1225
• 735
• 740
• 950

Ram purchased 6 black and n white balls. The price of a black ball is ⁵⁄₂ of the white ball. At the time of making the bill, the cashier interchanged the number of balls by mistake. Due to this, the bill amount increased by 45%. Find n.

• 15
• 20
• 25
• 16

A fruit seller sells 45% of the oranges that he has along with one more orange to a customer. He then sells 20% of the remaining oranges and 2 more oranges to a second customer. He then sells 90% of the now remaining oranges to a third customer and is still left with 5 oranges. How many oranges did the fruit seller have initially?

• 100
• 120
• 111
• 121

ICAR Technician 2023

A man can type 20 lines in 10 minutes but he leaves 8% margin on each line. In how much time can he type 46 pages with 40 lines on each page on which he leaves 25% more margin than before?

• 600 minutes
• 900 minutes
• 1000 minutes
• 1200 minutes

Every month, a man consumes 20 kg of rice and 8 kg of wheat. The price of rice is 20% of the price of wheat, resulting in a total expenditure of Rs.300 per month for rice and wheat combined. If the price of wheat is increased by 20%, what percentage reduction in rice consumption is needed to maintain the same expenditure of Rs.300? (price of rice and consumption of wheat are constant)

• 24%
• 38%
• 40%
• 22%

SSC CGL 2024 T-1

In a factory there are three types of machines M1, M2 and M3 which produce 25%, 35% and 40% of the total products respectively. M1, M2 and M3 produce 3%, 4% and 5% defective products respectively. What is the percentage of non-defective products?

• 95.85%
• 98.55%
• 89.55%
• 85.95%

ICAR Technician 2023

A quality control officer tracks the defect rates of 4 machines in a textile factory. The first machine produces fabric with an average defect rate of 1.8%, the second 2.4% and the third 1.6%. The fourth machine operated for 5 fewer hours than the average run time of the first three, yet its total defective output was 0.92 units. If the total number of defective units from all four machines is 4.12, and each machine’s total production was identical, find the defect percentage of the fourth machine.

• 1.52%
• 1.58%
• 1.667%
• 1.73%

SSC CHSL 2025

A contractor estimated that the cost of a project would be Rs.5,00,000. He planned to spend 60% of the cost on materials, 25% on labour, and the remaining amount on contingencies. However, due to delays, the material cost increased by 12.5%, the labour cost increased by 10% and there was no change in the contingency expenses. What is the new total cost?

• Rs.5,45,000
• Rs.5,60,000
• Rs.5,52,000
• Rs.5,50,000

SSC CHSL 2025

In a manufacturing unit, the price of raw material has increased by 25% and the labour cost has gone up from 30% of the cost of raw material to 38% of the cost of the raw material. What percentage of the consumption of raw material should be reduced to keep the cost the same as that before the increase?

• 20.7%
• 25.5%
• 30.2%
• 24.6%

ICAR Technician 2023

The price of petrol grows by 5%. Before the hike, the price was Rs.82 per litre. A man travels 3,045 km every month and his car gives a mileage of 15 km per litre. What is the increase in the monthly expenditure (to the nearest Rs.) on the man’s travel due to the hike in petrol prices?

• Rs.820
• Rs.832
• Rs.845
• Rs.850

SSC CGL 2025

A tank contains 3,500 millilitres of water. If its full capacity is 0.005 kilolitres, what percentage of the tank is empty?

• 25%
• 30%
• 35%
• 40%

SSC CGL 2025

A school organised a field trip for 100 students and 10 chaperones. Each student was given a snack pack containing items equal to 15% of the total number of students. Each chaperone received a snack pack with items equal to 25% of the total number of students. How many snack items were distributed in total?

• 1750
• 2000
• 2250
• 2500

SSC CGL 2025

Suman’s earnings in a month are five-sevenths of Meera’s. In the next month, Meera’s earnings become five-eighths of Suman’s previous month earnings. By what percent are Meera’s current earnings less than Suman’s current earnings?

• 35.5%
• 20%
• 37.5%
• 25%

RRB JE 2026

What is the mass by mass percentage of salt in a solution prepared by dissolving 10 g of salt in 90 g of water?

• 1%
• 100%
• 90%
• 10%

RRB JE 2026

At the beginning of day 1 of a month, Rajesh has 500 eggs. He sells 20% of the eggs by the end of the day and adds b% of the eggs at the beginning of the next day and sells 20% of the eggs at the end of the next day. This pattern continued up to the end of the third day, when he is left with 1,024 eggs. The value of b is equal to

• 10
• 500
• 100
• 20

SSC CHSL 2024 T-1

The price of a pencil is increased by Rs.2 this year and Rs.2 in the previous year. The price of a pencil is now 30% more than the price in the year previous to the previous year. How much is the price of the pencil now in Rs.?

• 17.33
• 13.33
• 15.33
• 14.33

SSC MTS 2024 T-1

There are two classrooms A and B having a certain number of students. If 5 students are shifted from A to B, then B has twice the number of students as A. If 1 student is sent from B to A, then both classrooms will have the same number of students. How many students are there in B?

• 22
• 17
• 19
• 26

RRB Technician Grade III 2024

Adi and Dia together have Rs.1,440. If ³⁄₁₀ of Adi’s amount is equal to ³⁄₅ of Dia’s amount, how much amount does Dia have?

• Rs.480
• Rs.464
• Rs.512
• Rs.540

SSC CGL 2024 T-2

The number of units manufactured by company A was 12,500 units in 2019 and 10,625 units in 2020. In company B, production fell from 34,000 units in 2019 to 30,600 units in 2020. If X and Y are the percentage decrease in the number of units manufactured by company A and B respectively from 2019 to 2020, then what will be the ratio of X and Y?

• 3 : 2
• 8 : 5
• 5 : 3
• 3 : 4

SSC CGL 2022 Tier-1

In a region 86% of registered voters participated in voting. If the total registered voters are 18,000 in that region, then how many voters participated in voting?

• 15,490
• 15,080
• 18,000
• 15,480

RRB Group D 2026

In an election between two candidates, a candidate secured 60% of the valid votes and is elected by a majority of 180 votes. The total number of valid votes is

• 1200
• 800
• 900
• 1000

SSC CPO 2022

A, B and C are three candidates in an election. A got 18% votes and B got 43% votes, whereas C was on second rank. If B won the election by 6,996 votes, then find the total number of votes.

• 1,55,545
• 1,57,980
• 1,74,900
• 1,61,230

RRB Group D 2026

At the beginning of the poll, Rahul received 52% of the total votes and Leena received 48% of the total votes. The total voting was of 3,72,000 votes. How many votes did Leena earn above 1,00,000?

• 78,560
• 1,00,000
• 37,20,000
• 1,78,560

RRB Group D 2026

In an election there were 12,000 voters. In the first round, Babita received 40% of the votes and Ramanlal received 35% of the votes. In the second round, Babita gained 20% more votes compared to the first round, while Ramanlal gained 10% more votes. How many votes did Babita receive in the second round?

• 6,000
• 5,760
• 6,400
• 5,600

RRB Group D 2026

Three candidates X, Y and Z participated in an election. X got 30% more votes than Y, whereas Z got 25% more votes than Y. X also overtook Z by 5,000 votes. If 71% of the voters voted and no invalid votes were cast, then what was the total number of voters in the voting list?

• 5,00,000
• 4,50,000
• 3,55,000
• 4,05,000

SSC CGL 2024 T-1

In an election between three candidates, Arjun, Bhaskar and Saral contested for a post. Arjun got 50% votes more than Saral, and Saral got 2% votes less than Bhaskar. The difference between the votes of Bhaskar and Saral is 1,296. What is half of the difference between the votes of Arjun and Bhaskar?

• 13988
• 7766
• 3888
• 15228

SSC CGL 2023 Tier-1

In a local election there were 20,000 voters. Candidate A received 40% of the total votes and Candidate B received 50% of the total votes. The remaining votes were split equally between two other candidates, C and D. How many votes did Candidate C receive?

• 600
• 1000
• 700
• 1200

RRB Group D 2026

In an election, four candidates received 1,242, 832, 1,426 and 1,100 votes respectively. The difference between the winning candidate’s vote percentage and the runner-up candidate’s vote percentage is

• 5%
• 4%
• 3%
• 6%

RRB Group D 2026

Three candidates were participating in an election. The person at third place got 20% of the total votes while the difference between the votes of the winner and the first runner-up was 20% of the total votes. If the difference between the votes of the first runner-up and the second runner-up was 37,000, how many votes did the winner receive?

• 1,75,000
• 1,95,000
• 1,80,000
• 1,85,000

SSC CGL 2022 Tier-1

In an election there are three contestants A, B and C. A got 35% of the total votes and B got 54% of the remaining votes. C got 5,382 votes. By how many votes did the winner win from his close contestant?

• 17
• 21
• 23
• 18

ICAR Technician

In an election between two candidates, 84 votes were declared invalid. The winning candidate secures 62% of the valid votes and wins by 96 votes. The number of votes polled is

• 543
• 484
• 424
• 641

Selection Post XI

In an election, a candidate secures 42% of the votes polled but is defeated by his only opponent by a majority of 3,080 votes, because of 1,400 invalid votes. The percentage of invalid votes is

• 6%
• 3%
• 5%
• 4%

SSC CPO 2022

Raju, Ravi and Ashok contested an election. 5% votes polled were invalid. Raju got 30% of the total votes and Ravi got 32% of the total votes. The winner got 5,136 more votes than the person who received the least number of votes. Find the total number of votes polled.

• 171200
• 172100
• 171220
• 64200

SSC CGL 2022 Tier-1

In an election there are three candidates: A, B and C. Candidate A gets 40% of the total valid votes, Candidate B gets 30%, and Candidate C gets the remaining votes. If 12% of the total votes were declared invalid and the total number of voters was 25,000, find the number of votes received by Candidate C.

• 4400
• 8800
• 5500
• 6600

RRB Group D 2026

In an election between two candidates, 12% of voters did not cast their votes. The winner, by obtaining 68% of the total votes, defeated his contestant by 2,880 votes. What was the total number of voters who cast their votes in the election?

• 5280
• 6000
• 4000
• 8000

SSC CGL 2022 Tier-1

In an election between two candidates, 80% of the voters cast their votes, out of which 10% were declared invalid. A candidate got 9,936 votes which were 60% of the total valid votes. Find the total number of voters enrolled in that election.

• 25500
• 24000
• 24320
• 23000

Selection Post XI

In an election between two candidates, 10% of the voters in the voter list did not cast their vote, whereas 10% of the votes cast were found to be invalid. The winning candidate got 56% of the valid votes and won the election by a margin of 1,458 votes. What is the total number of voters enrolled in the voter list?

• 15,000
• 14,000
• 13,000
• 16,000

SSC CGL 2023 Tier-1

In an election, 8% of the voters did not cast their votes. Two candidates contested the election in which the winning candidate got 48% of the total votes and won the election by 1,100 votes. Find the total number of voters in the election, given that all the votes cast were valid.

• 26500
• 28500
• 27500
• 25500

SSC CGL 2022 Tier-1

In an election between two candidates, y% of the voters did not vote. 10% of the votes cast were declared invalid, while all the valid votes were cast in favour of either of the two candidates. The candidate who got 59.375% of the valid votes cast was declared elected by 2,484 votes. If the number of people eligible to vote in that election was 16,000, what is the value of y?

• 7.2
• 8.4
• 8
• 7.5

SSC CGL 2024 T-1

In an election between two candidates, 20% of the registered voters did not cast their vote and 40 votes were declared invalid. The winner got 42% of the registered votes and was declared the winner by 112 votes. The number of registered voters was

• 3800
• 1800
• 1500
• 1200

SSC CHSL 2022 T-2

In an election between two candidates, the defeated candidate secured 42% of the valid votes polled and lost the election by 7,68,400 votes. If 82,560 votes were declared invalid and 20% of the people did not cast their vote, then the invalid votes were what percentage (rounded off to 1 decimal place) of the votes which people did not cast?

• 10.6%
• 6.8%
• 9.8%
• 12.9%

SSC CGL 2022 Tier-1

In a college election, the valid votes for candidates X and Y were in the ratio 7 : 2. The college had 1,800 registered voters, of which 20% did not cast their votes and 20% of the votes cast were declared invalid. What is the difference in the number of votes secured by candidates X and Y?

• 459
• 256
• 640
• 896

RRB Group D 2026

In an election, Rahul and Modi participated. ²⁄₅ of the voters promised to vote for Rahul and the rest promised to vote for Modi. On the voting day, 15% of the voters went back on their promise to vote for Rahul and 25% of the voters went back on their promise to vote for Modi. Find the total number of voters, if Modi wins by 6,300 votes.

• 3,00,000
• 3,15,000
• 2,50,000
• 3,50,000

In a student body election, 5% of the eligible voters are aged 18–21 years, 12% are aged 21–25 years, and the rest are older than 25 years. Among these groups, 80% of the 18–21 year age group and 60% of the 21–25 year age group actually voted. If the number of voters aged 21–25 years who voted exceeds those aged 18–21 years by 320, what is the difference between the number of eligible voters aged 18–21 years and those aged 21–25 years?

• 700
• 600
• 500
• 800

RRB Group D 2026

In a polling booth with 9,000 valid votes, four candidates P, Q, R and S contested, and a NOTA option was also available. Exactly 1% of the total votes went to NOTA. Candidate Q received 25% of the votes secured by P. The combined votes of R and S totalled 5,830, distributed between them in the ratio 3 : 2. How many votes did the winning candidate receive?

• 4398
• 3894
• 3498
• 3984

RRB Group D 2026

In an election, a voter has choices to vote for one candidate out of three candidates, with a NOTA option to reject all candidates. The three candidates together get votes that are 6 times NOTA. The winner gets votes that are twice the second runner-up’s votes. The first runner-up gets 900 votes more than NOTA and defeats the second runner-up by 150 votes. What is the total number of votes polled?

• 11577
• 17715
• 11025
• 15177

SSC CHSL 2024 T-1

In an examination, 52% of the candidates failed in English and 45% failed in Mathematics. If 17% failed in both the subjects, then the percentage of candidates who passed in both the subjects was

• 23
• 21
• 22
• 20

In an examination of 2 subjects, Maths and English, 39.5% of students failed in at least one subject. 15% of students failed in English. Find the percentage of students who passed in both the subjects.

• 60.5%
• 30%
• 10%
• 72.5%

A class took two tests, one in Physics and the other in Maths. One-third of the class failed in Maths and half the class failed in Physics. 60% of those who passed in Physics also passed in Maths. If 300 students took both the tests, then how many students failed in both?

• 20
• 40
• 50
• 60

In a survey conducted at a university, 55% of the students like Mathematics, 45% like Physics, and 30% like both Mathematics and Physics. Among the remaining students, 25% prefer Computer Science, while the rest have no preference. If the total number of students surveyed is 800, how many students had no preference for any of the three subjects?

• 160
• 200
• 220
• 180

SSC CHSL 2025

In a group of 100 children, 32% play hockey, 64% play football and 35% play cricket. 14% play hockey and football, 15% play football and cricket, 13% play hockey and cricket. Only 6% play all three games. Find (A) how many children play only one game, and (B) how many play at least two games.

• 65, 24
• 75, 30
• 65, 30
• 60, 24

In grade 11 of a school, 40 students opted for Physics, 17 for Biology and 20 for Chemistry. If the total number of students in grade 11 was 60, all of them opted for at least one of the three subjects, and exactly five opted for all three subjects, what is the probability that a randomly selected student of grade 11 would have opted for exactly one of these three subjects?

• 0.80
• 0.75
• 0.90
• 0.85

SSC CHSL 2022 Tier-2

In a town three newspapers A, B and C are published. 42% of the people in that town read A, 68% read B, 51% read C, 30% read A and B, 28% read B and C, 34% read A and C, and 18% do not read any newspaper. Find the percentage of the population of the town that reads all three.

• 13%
• 25%
• 17%
• 35%

In a board exam, 53% passed in Biology, 61% in English, 60% in History, 24% in Biology and English, 35% in English and History, 27% in History and Biology, and 5% did not pass in any exam. Find (A) passed in History only, (B) passed in Biology only, (C) passed in English only, and (D) the ratio of those who passed in History and Biology but failed in English to those who passed in History and English but failed in Biology.

• 10%, 5%, 7%, 5 : 9
• 5%, 6%, 6%, 7 : 5
• 7%, 9%, 9%, 5 : 9
• 5%, 9%, 9%, 5 : 7

RRB NTPC

In an examination, 20% of the total students failed in Maths, 15% failed in Hindi and 5% failed in both. If the number of students who passed in both subjects is 3,500, work out each of the following.

56% of the people like tea, 42% like coffee and 35% like both. Find the percentage of people in each case below.