Percentage Practice Questions for SSC & Railway Exams – Set 2

This is the second percentage practice set for students preparing for SSC CGL, SSC CHSL, SSC MTS, SSC GD, RRB NTPC, Railway Group D and other competitive examinations.

This set is slightly more difficult than Set 1 and includes mixed percentage applications involving income, expenditure, marks, population, elections, reverse percentage and successive changes.

Try solving every question before checking the answer.

Questions

1.

45% of a number is 360. Find the number.

A) 720
B) 760
C) 800
D) 840

Answer: C) 800

2.

A number is 25% more than 480. Find the number.

A) 560
B) 580
C) 600
D) 620

Answer: C) 600

3.

A number is decreased by 20% and becomes 640. Find the original number.

A) 720
B) 760
C) 800
D) 840

Answer: C) 800

4.

A person's salary increases from ₹32,000 to ₹38,400. Find the percentage increase.

A) 15%
B) 18%
C) 20%
D) 25%

Answer: C) 20%

5.

The price of an article decreases from ₹2,500 to ₹2,125. Find the percentage decrease.

A) 10%
B) 12%
C) 15%
D) 18%

Answer: C) 15%

6.

A number is increased by 25% and then by 20%. Find the net percentage increase.

A) 40%
B) 45%
C) 50%
D) 52%

Answer: C) 50%

7.

A number is decreased by 20% and then decreased again by 10%. Find the net percentage decrease.

A) 26%
B) 28%
C) 30%
D) 32%

Answer: B) 28%

8.

A number is increased by 40% and then decreased by 25%. Find the net change.

A) 5% increase
B) 5% decrease
C) 10% increase
D) No change

Answer: A) 5% increase

9.

A number is decreased by 25%. By what percentage should it be increased to restore the original value?

A) 25%
B) 30%
C) 33⅓%
D) 40%

Answer: C) 33⅓%

10.

A number is increased by 25%. By what percentage should it be reduced to restore the original value?

A) 15%
B) 20%
C) 25%
D) 30%

Answer: B) 20%

Income and Expenditure

11.

A person earns ₹50,000 and spends 70% of the income. Find the monthly savings.

A) ₹12,000
B) ₹15,000
C) ₹18,000
D) ₹20,000

Answer: B) ₹15,000

12.

A person's income is increased by 25% while expenditure increases by 20%. Initially, income is ₹40,000 and expenditure is ₹30,000. Find the percentage increase in savings.

A) 30%
B) 35%
C) 40%
D) 50%

Answer: C) 40%

Explanation:
Original saving = ₹10,000

New income = ₹50,000

New expenditure = ₹36,000

New saving = ₹14,000

Increase = ₹4,000 = 40%

13.

The price of wheat rises by 20%. By what percentage should consumption be reduced to keep expenditure unchanged?

A) 15%
B) 16⅔%
C) 18%
D) 20%

Answer: B) 16⅔%

14.

The price of a commodity falls by 25%. By what percentage may consumption increase while expenditure remains unchanged?

A) 25%
B) 30%
C) 33⅓%
D) 40%

Answer: C) 33⅓%

Marks

15.

A student obtains 420 marks out of 600. Find the percentage.

A) 65%
B) 68%
C) 70%
D) 72%

Answer: C) 70%

16.

A student needs 40% marks to pass. He obtains 220 marks and fails by 20 marks. Find the maximum marks.

A) 500
B) 550
C) 600
D) 650

Answer: C) 600

17.

One candidate scores 25% marks and fails by 60 marks. Another candidate scores 40% and obtains 30 marks more than the passing score. Find the maximum marks.

A) 500
B) 550
C) 600
D) 650

Answer: C) 600

Explanation:
Difference between their marks = 60 + 30 = 90

Difference in percentage = 40% - 25% = 15%

15% = 90

100% = 600

18.

A student obtains 75% marks and scores 525 marks. Find the maximum marks.

A) 650
B) 700
C) 750
D) 800

Answer: B) 700

Population

19.

The population of a city is 1,20,000. It increases by 10%. Find the new population.

A) 1,28,000
B) 1,30,000
C) 1,32,000
D) 1,35,000

Answer: C) 1,32,000

20.

A town's population increases by 20% in the first year and decreases by 10% in the second year. Find the net change.

A) 6% increase
B) 8% increase
C) 10% increase
D) 12% increase

Answer: B) 8% increase

21.

The population of a town is 96,800 after increasing by 10% in each of two consecutive years. Find the population two years earlier.

A) 75,000
B) 80,000
C) 82,000
D) 88,000

Answer: B) 80,000

Election Questions

22.

In an election between two candidates, the winner gets 58% of the valid votes and wins by 3,200 votes. Find the total valid votes.

A) 18,000
B) 20,000
C) 22,000
D) 25,000

Answer: B) 20,000

Explanation:
Difference = 58% - 42% = 16%

16% = 3,200

100% = 20,000

23.

In an election between two candidates, the loser gets 45% of the valid votes and loses by 4,000 votes. Find the total valid votes.

A) 30,000
B) 35,000
C) 40,000
D) 45,000

Answer: C) 40,000

24.

In an election, 20% of registered voters do not vote. The winner receives 60% of the votes cast and gets 24,000 votes. Find the total number of registered voters.

A) 45,000
B) 48,000
C) 50,000
D) 52,000

Answer: C) 50,000

Explanation:
60% of votes cast = 24,000

Votes cast = 40,000

This is 80% of registered voters.

Registered voters = 40,000 × 100/80

= 50,000

25.

A number is increased by 20%, decreased by 10% and then increased by 25%. Find the overall percentage change.

A) 30% increase
B) 32% increase
C) 35% increase
D) 40% increase

Answer: C) 35% increase

Explanation:
Assume number = 100.

After 20% increase = 120

After 10% decrease = 108

After 25% increase = 135

Net increase = 35%

Answer Key

1. C

2. C

3. C

4. C

5. C

6. C

7. B

8. A

9. C

10. B

11. B

12. C

13. B

14. C

15. C

16. C

17. C

18. B

19. C

20. B

21. B

22. B

23. C

24. C

25. C