30 Powerful SSC CGL Percentages MCQs with Answers for Tier-II
Practice 30 SSC CGL Percentages MCQs with detailed answers, shortcut tricks, and Tier-II level explanations. Perfect for SSC CGL, CHSL, CPO, and Railway exams
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1. A number is increased by 20% and then decreased by 20%. What is the net percentage change?
A) 0% B) 2% decrease
C) 4% decrease D) 4% increase
Correct Answer: C) 4% decrease
Explanation:
Net change = 20 – 20 – (20 × 20) /100
= – 4%
Shortcut Trick:
Successive equal increase and decrease = (\frac{x^2}{100})% decrease
2. If 40% of a number is 240, the number is:
A) 500 B) 600
C) 700 D) 800
Correct Answer: B) 600
Explanation:
40% × Number = 240
Number = (240 × 100) / 40 = 600
3. The population of a town increases by 10% annually. If the present population is 24,200, what was it one year ago?
A) 20,000 B) 21,000
C) 22,000 D) 22,500
Correct Answer: C) 22,000
Explanation:
Previous population = (24200 × 100) / 110 = 22000
Shortcut Trick:
To find the original value, divide by the growth factor.
4. A student scored 35% marks and failed by 26 marks. Another student scored 41% and got 10 marks above the passing mark. Passing percentage is:
A) 38% B) 39%
C) 40% D) 42%
Correct Answer: C) 40%
Explanation:
Difference = 41% − 35% = 6%
Corresponds to 36 marks.
Total marks = (36 × 100) / 6 = 600
Passing marks = 210 + 26 = 236
Passing % = (236/600) ×100% ≈ 39.33%
Nearest = 40%
5. A price is reduced by 25%. By what percentage should it be increased to regain the original price?
A) 25% B) 30%
C) 33⅓% D) 40%
Correct Answer: C) 33⅓%
Explanation:
Required increase = [25/(100−25)] ×100
= (25/75) ×100
= 33⅓%
Shortcut Trick:
Decrease x% ⇒ Required increase = x/(100−x) ×100
6. If A’s salary is 25% more than B’s salary, then B’s salary is what percentage less than A’s salary?
A) 20% B) 25%
C) 30% D) 35%
Correct Answer: A) 20%
Explanation:
A:B = 125:100
Difference = 25
Percentage less = (25/125) ×100% = 20%
7. 75% of 480 is:
A) 340 B) 350
C) 360 D) 370
Correct Answer: C) 360
Explanation:
75% = 3/4
(3/4) × 480 = 360
8. The value of an item rises from ₹800 to ₹920. Percentage increase is:
A) 12% B) 15%
C) 18% D) 20%
Correct Answer: B) 15%
Explanation:
Increase = 120
Increase Percentage = (120/800) ×100% = 15%
9. A shopkeeper marks goods 20% above the cost price and allows 10% discount. His profit percentage is:
A) 6% B) 7%
C) 8% D) 10%
Correct Answer: C) 8%
Explanation:
CP = 100
MP = 120
SP = (120 × 90)/100 = 108
Profit = SP – CP
= 108 – 100 = 8
Profit % = (8/100) × 100%
Profit %= 8%
10. What per cent of 250 is 40?
A) 14% B) 15%
C) 16% D) 18%
Correct Answer: C) 16%
Explanation:
(40/250) ×100 % = 16%
SSC CGL Percentages MCQs
SSC CGL Fractions MCQs: Ultimate Tier-I & Tier-II Practice Set 26
11. If 12% of a number is 96, the number is:
A) 700 B) 750
C) 800 D) 850
Correct Answer: C) 800
Explanation:
Number = (96 ×100) /12
= 800.
12. A candidate secures 45% marks and gets 180 marks. Maximum marks are:
A) 350 B) 400
C) 450 D) 500
Correct Answer: B) 400
Explanation:
Maximum marks = (180 ×100) /45
= 400
13. The income of a person increases by 20% while expenditure increases by 10%. Savings increase by:
A) Cannot be determined B) 15%
C) 20% D) 25%
Correct Answer: A) Cannot be determined
Explanation:
Initial income and expenditure are unknown.
Savings depend on both values.
14. A number is first increased by 25% and then by 20%. Overall increase is:
A) 40% B) 45%
C) 50% D) 55%
Correct Answer: C) 50%
Explanation:
Net increase = 25 +20 +(25×20)/100
= 50%
15. The price of sugar rises by 25%. Consumption must be reduced by:
A) 18% B) 20%
C) 22% D) 25%
Correct Answer: B) 20%
Explanation:
Reduction = (25/125) ×100
= 20%
16. A’s marks are 20% higher than B’s. By what percent are B’s marks lower than A’s?
A) 15% B) 16⅔%
C) 18⅔% D) 20%
Correct Answer: B) 16⅔%
Explanation:
A:B = 120:100
Difference = 20
(20/120) ×100 = 16⅔%
17. A quantity is reduced from 500 to 425. Percentage decrease is:
A) 12% B) 15%
C) 18% D) 20%
Correct Answer: B) 15%
Explanation:
Decrease = 75
Decrease% = (75/500) ×100 = 15%
18. In an election, a candidate gets 55% votes and won by 1200 votes. Total votes polled are:
A) 10,000 B) 12,000
C) 15,000 D) 20,000
Correct Answer: B) 12,000
Explanation:
Difference = 55% −45% =10%
10% = 1200
100% = 12,000
19. A number exceeds another by 25%. The smaller number is what percent less than the larger?
A) 18% B) 20%
C) 22% D) 25%
Correct Answer: B) 20%
Explanation:
Assume numbers 125 and 100
Difference = 25
Percentage of less than the larger = (25/125) ×100
= 20%
20. A trader gains 20% after giving a discount of 10%. If the cost price is ₹500, the marked price is:
A) ₹640 B) ₹650
C) ₹666.67 D) ₹700
Correct Answer: C) ₹666.67
Explanation:
SP = (500 ×120)/100 = ₹600
MP ×90% = 600
MP = (600 ×100)/90
= ₹666.67
SSC CGL Percentages MCQs
21. A number is increased by 30% and then decreased by 20%. The net change is:
A) 4% increase B) 4% decrease
C) 6% increase D) 10% increase
Correct Answer: A) 4% increase
Explanation:
Net change = 30 − 20 − (30×20)/100
= 10 − 6
= 4% increase
Shortcut Trick:
Successive percentage change = a + b + (ab/100)
22. A man spends 75% of his income. If his income increases by 20% and expenditure remains the same, his savings increase by:
A) 40% B) 60%
C) 80% D) 100%
Correct Answer: C) 80%
Explanation:
Assume income = 100
Expenditure = 75
Savings = 25
New income = 120
New savings = 120 − 75 = 45
Increase = 20
Percentage increase = (20/25) ×100 = 80%
23. The population of a city increases by 20% in one year and decreases by 10% in the next year. Net change is:
A) 8% increase B) 8% decrease
C) 10% increase D) 12% increase
Correct Answer: A) 8% increase
Explanation:
Net change = 20 −10 −(20×10)/100
= 10 −2
= 8% increase
24. If A is 25% more than B, then B is what percent less than A?
A) 18% B) 20%
C) 22% D) 25%
Correct Answer: B) 20%
Explanation:
A:B = 125:100
Difference = 25
25/125 ×100
= 20%
25. A student obtained 360 marks out of 450. His percentage is:
A) 75% B) 78%
C) 80% D) 82%
Correct Answer: C) 80%
Explanation:
(360/450) ×100
= 80%
26. The value of a machine depreciates by 10% annually. If its current value is ₹81,000, its value one year ago was:
A) ₹85,000 B) ₹90,000
C) ₹95,000 D) ₹1,00,000
Correct Answer: B) ₹90,000
Explanation:
Previous value = 81000 ×100/90
= ₹90,000
27. If the price of an article increases by 25%, by what percentage should consumption be reduced so that expenditure remains unchanged?
A) 15% B) 18%
C) 20% D) 25%
Correct Answer: C) 20%
Explanation:
Required reduction = 25/125 ×100
= 20%
Shortcut Trick:
Reduction = Increase/(100 + Increase) ×100
28. A candidate secures 35% marks and fails by 52 marks. Another candidate secures 45% marks and gets 28 marks above passing marks. Maximum marks are:
A) 600 B) 700
C) 800 D) 900
Correct Answer: C) 800
Explanation:
Difference in marks = 52 + 28 = 80
Difference in percentage = 45 −35 =10%
10% = 80
100% = 800
29. A number is first decreased by 20% and then increased by 25%. Net effect is:
A) No change B) 2% increase
C) 4% decrease D) 5% increase
Correct Answer: A) No change
Explanation:
100 → 80 → 80 ×1.25 =100
Hence no change.
30. A shopkeeper marks an article 40% above cost price and allows a discount of 20%. His profit percentage is:
A) 10% B) 12%
C) 15% D) 20%
Correct Answer: B) 12%
Explanation:
CP =100
MP =140
SP =140 ×80/100 =112
Profit =12%
