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Percentages - Practice MCQs for CCAT

60 Questions Section A: Fundamentals Quantitative Aptitude

Percentages Question Bank for C-CAT

Topic-wise Percentages MCQs for CDAC C-CAT preparation with answers and explanations.

Q1.
If 15% of a number is 45, what is 25% of the same number?
A60
B90
C75
D100
Show Answer & Explanation

Correct Answer: C - 75

Let number be x. 15% of x = 45, so x = 300. 25% of 300 = 75.

Q2.
A student scored 60 marks out of 80. What is the percentage?
A70%
B72%
C80%
D75%
Show Answer & Explanation

Correct Answer: D - 75%

Percentage = (60/80) × 100 = 75%.

Q3.
If the price of an item increases from ₹50 to ₹60, what is the percentage increase?
A20%
B15%
C10%
D25%
Show Answer & Explanation

Correct Answer: A - 20%

Increase = 10. Percentage = (10/50) × 100 = 20%.

Q4.
A number is increased by 20% and then decreased by 20%. The net change is:
A0%
B4% decrease
C2% decrease
D4% increase
Show Answer & Explanation

Correct Answer: B - 4% decrease

Let x=100. After 20% increase: 120. After 20% decrease: 96. Net = 4% decrease.

Q5.
What is 40% of 250?
A80
B100
C90
D110
Show Answer & Explanation

Correct Answer: B - 100

40% of 250 = (40/100) × 250 = 100.

Q6.
The population of a city increased from 50,000 to 55,000. Find the percentage increase.
A5%
B10%
C8%
D12%
Show Answer & Explanation

Correct Answer: B - 10%

Increase = 5000. Percentage = (5000/50000) × 100 = 10%.

Q7.
If 60% of a number is 120, what is the number?
A180
B200
C240
D280
Show Answer & Explanation

Correct Answer: B - 200

Let number = x. 60% of x = 120. x = 120 × 100/60 = 200.

Q8.
A shirt priced at ₹500 is sold at 15% discount. Find the selling price.
A₹425
B₹400
C₹450
D₹475
Show Answer & Explanation

Correct Answer: A - ₹425

Discount = 15% of 500 = 75. SP = 500 - 75 = ₹425.

Q9.
Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
A2:3
B4:5
C3:4
D5:6
Show Answer & Explanation

Correct Answer: B - 4:5

If third = 100, first = 120, second = 150. Ratio = 120:150 = 4:5.

Q10.
If A is 25% more than B, then B is what percent less than A?
A15%
B25%
C30%
D20%
Show Answer & Explanation

Correct Answer: D - 20%

If B=100, A=125. B is less by 25 from 125. (25/125)×100 = 20%.

Q11.
A number is increased by 20% and then decreased by 20%. The net change is:
A0%
B4% increase
C2% decrease
D4% decrease
Show Answer & Explanation

Correct Answer: D - 4% decrease

Let number = 100. After 20% increase = 120. After 20% decrease = 120 × 0.8 = 96. Net change = 4% decrease.

Q12.
In an election, 70% of voters voted. Winning candidate got 60% of votes cast. What % of total voters voted for winner?
A56%
B46%
C52%
D42%
Show Answer & Explanation

Correct Answer: D - 42%

70% voted, winner got 60% of 70% = 0.7 × 0.6 × 100 = 42%.

Q13.
If the price of sugar increases by 25%, by how much percent must consumption be reduced to keep expenditure same?
A20%
B25%
C30%
D15%
Show Answer & Explanation

Correct Answer: A - 20%

Reduction = (25/125) × 100 = 20%. Formula: r/(100+r) × 100.

Q14.
A student scores 60 marks out of 75. What is the percentage?
A75%
B85%
C80%
D90%
Show Answer & Explanation

Correct Answer: C - 80%

Percentage = (60/75) × 100 = 80%.

Q15.
Population of a town increases by 10% in first year and decreases by 10% in second year. Net change is:
A0%
B1% increase
C2% decrease
D1% decrease
Show Answer & Explanation

Correct Answer: D - 1% decrease

If P=100, after year 1 = 110, after year 2 = 110 × 0.9 = 99. Net = 1% decrease.

Q16.
What is 15% of 15% of 100?
A0.225
B22.5
C225
D2.25
Show Answer & Explanation

Correct Answer: D - 2.25

15% of 100 = 15. 15% of 15 = 2.25.

Q17.
If 80% of A = 50% of B, then A:B is:
A2:5
B5:2
C8:5
D5:8
Show Answer & Explanation

Correct Answer: D - 5:8

0.8A = 0.5B. A/B = 0.5/0.8 = 5/8. So A:B = 5:8.

Q18.
A salary is first increased by 25% and then decreased by 25%. The net percentage change is:
A0%
B6.25% decrease
C6.25% increase
D12.5% decrease
Show Answer & Explanation

Correct Answer: B - 6.25% decrease

Let salary = 100. After 25% increase = 125. After 25% decrease = 125 × 0.75 = 93.75. Net = 6.25% decrease.

Q19.
Ram scored 456 out of 600. Shyam scored 560 out of 800. Who scored better percentage?
ARam
BShyam
CBoth equal
DCannot determine
Show Answer & Explanation

Correct Answer: A - Ram

Ram: (456/600) × 100 = 76%. Shyam: (560/800) × 100 = 70%. Ram scored better.

Q20.
In a class, 60% are boys. If 20% of boys and 40% of girls passed, what % of total passed?
A24%
B32%
C28%
D36%
Show Answer & Explanation

Correct Answer: C - 28%

Let total = 100. Boys = 60, Girls = 40. Boys passed = 12, Girls passed = 16. Total passed = 28%.

Q21.
If the price of sugar increases by 25%, by what percent should consumption be reduced to keep expenditure the same?
A30%
B25%
C20%
D15%
Show Answer & Explanation

Correct Answer: C - 20%

Reduction = (increase/(100+increase))×100 = (25/125)×100 = 20%.

Q22.
A number is increased by 20% and then decreased by 20%. The net change is:
A0%
B4% increase
C4% decrease
D2% decrease
Show Answer & Explanation

Correct Answer: C - 4% decrease

Net effect = -20×20/100 = -4%. The number decreases by 4%.

Q23.
In an election, candidate A got 55% votes and won by 4000 votes. Total votes cast were:
A40000
B36000
C45000
D50000
Show Answer & Explanation

Correct Answer: A - 40000

A=55%, B=45%. Difference=10%. 10% of total = 4000. Total = 40000.

Q24.
If 60% of a number is 150, what is 40% of that number?
A100
B90
C120
D80
Show Answer & Explanation

Correct Answer: A - 100

Number = 150/0.6 = 250. 40% of 250 = 100.

Q25.
A student scored 280 out of 400. What percentage did the student score?
A65%
B70%
C72%
D68%
Show Answer & Explanation

Correct Answer: B - 70%

Percentage = (280/400) × 100 = 70%.

Q26.
Population of a town increases by 10% annually. If current population is 10000, what will it be after 2 years?
A12000
B11900
C11000
D12100
Show Answer & Explanation

Correct Answer: D - 12100

After 2 years = 10000 × (1.1)2 = 10000 × 1.21 = 12100.

Q27.
A shopkeeper marks his goods 40% above cost price and allows 20% discount. His profit percentage is:
A12%
B20%
C15%
D10%
Show Answer & Explanation

Correct Answer: A - 12%

Let CP=100. MP=140. SP=140×0.8=112. Profit=12%.

Q28.
If A is 25% more than B, then B is what percent less than A?
A15%
B25%
C30%
D20%
Show Answer & Explanation

Correct Answer: D - 20%

B less than A = (25/125)×100 = 20%.

Q29.
Two successive discounts of 10% and 20% are equivalent to a single discount of:
A27%
B30%
C25%
D28%
Show Answer & Explanation

Correct Answer: D - 28%

Equivalent = a+b-ab/100 = 10+20-200/100 = 28%.

Q30.
A man spends 75% of his income. If his income increases by 20% and expenditure by 10%, his savings increase by:
A30%
B40%
C60%
D50%
Show Answer & Explanation

Correct Answer: D - 50%

Let income=100, savings=25. New income=120, new expenditure=75×1.1=82.5. New savings=37.5. Increase=(12.5/25)×100=50%.

Q31.
What is 33.33% of 99?
A33
B30
C36
D32
Show Answer & Explanation

Correct Answer: A - 33

33.33% = 1/3. 99/3 = 33.

Q32.
If the length of a rectangle is increased by 50% and breadth decreased by 50%, the area changes by:
ANo change
B25% increase
C25% decrease
D50% decrease
Show Answer & Explanation

Correct Answer: C - 25% decrease

New area = 1.5L × 0.5B = 0.75LB. Decrease = 25%.

Q33.
A value decreases from 80 to 60. The percentage decrease is:
A20%
B25%
C30%
D33.33%
Show Answer & Explanation

Correct Answer: B - 25%

Decrease = (20/80) × 100 = 25%.

Q34.
If 15% of x = 20% of y, then x:y is:
A3:4
B5:4
C4:3
D4:5
Show Answer & Explanation

Correct Answer: C - 4:3

15x/100 = 20y/100. 15x = 20y. x/y = 20/15 = 4/3.

Q35.
The price of a commodity doubled in 5 years. The annual rate of increase (simple) is:
A20%
B40%
C25%
D10%
Show Answer & Explanation

Correct Answer: A - 20%

Doubled means 100% increase in 5 years. Rate = 100/5 = 20% per year.

Q36.
In a class, 60% are boys. If 10% of boys and 20% of girls are absent, what percent of the class is absent?
A14%
B16%
C12%
D15%
Show Answer & Explanation

Correct Answer: A - 14%

Boys=60, Girls=40. Absent=60×0.1+40×0.2=6+8=14. 14%.

Q37.
If the radius of a circle is increased by 10%, the area increases by:
A10%
B20%
C21%
D15%
Show Answer & Explanation

Correct Answer: C - 21%

Area increase = (2×10 + 10²/100)% = (20+1)% = 21%.

Q38.
A's salary is 20% less than B's. B's salary is what percent more than A's?
A20%
B30%
C25%
D22%
Show Answer & Explanation

Correct Answer: C - 25%

If B=100, A=80. B more than A = (20/80)×100 = 25%.

Q39.
A mixture of 40 litres has milk and water in the ratio 3:1. How much water should be added to make the ratio 3:2?
A8 litres
B10 litres
C12 litres
D6 litres
Show Answer & Explanation

Correct Answer: B - 10 litres

Milk=30L, Water=10L. Let x litres water added. 30/(10+x)=3/2. 60=30+3x. x=10.

Q40.
If 20% of (A+B) = 50% of A, then A:B is:
A2:3
B3:2
C1:2
D2:1
Show Answer & Explanation

Correct Answer: A - 2:3

0.2(A+B) = 0.5A. 0.2A+0.2B=0.5A. 0.2B=0.3A. A/B=2/3.

Q41.
A number when increased by 15% gives 345. The number is:
A310
B290
C300
D280
Show Answer & Explanation

Correct Answer: C - 300

x × 1.15 = 345. x = 345/1.15 = 300.

Q42.
If petrol price goes up by 30%, a person must reduce consumption by what percent to maintain the same expenditure?
A30%
B25%
C23.08%
D20%
Show Answer & Explanation

Correct Answer: C - 23.08%

Reduction = (30/130)×100 ≈ 23.08%.

Q43.
In a test, a student gets 20% more than the passing marks and another student gets 10% less than the passing marks by 10 marks. The passing marks are:
A100
B150
C200
D50
Show Answer & Explanation

Correct Answer: A - 100

The second student is 10% below the passing mark and fails by 10 marks. Therefore 10% of the passing mark is 10, so the passing mark is 100.

Q44.
40% of a number is added to 120 gives the number itself. Find the number.
A250
B200
C300
D150
Show Answer & Explanation

Correct Answer: B - 200

0.4x + 120 = x. 120 = 0.6x. x = 200.

Q45.
A batsman has a batting average of 40 in 10 innings. How many runs must he score in the 11th innings to raise his average to 42?
A60
B62
C64
D58
Show Answer & Explanation

Correct Answer: B - 62

Total runs needed = 42×11 = 462. Current total = 40×10 = 400. Needed = 462-400 = 62.

Q46.
If 10% of a number is subtracted from the number, result is 1800. The number is:
A2000
B1800
C2200
D1600
Show Answer & Explanation

Correct Answer: A - 2000

x - 0.1x = 1800. 0.9x = 1800. x = 2000.

Q47.
A fruit seller sells 50% of his stock at 30% profit and the rest at 10% loss. His overall profit percentage is:
A15%
B10%
C12%
D8%
Show Answer & Explanation

Correct Answer: B - 10%

Overall = (50×30 + 50×(-10))/100 = (1500-500)/100 = 10%.

Q48.
Express 5/8 as a percentage.
A62.5%
B60%
C65%
D58%
Show Answer & Explanation

Correct Answer: A - 62.5%

5/8 × 100 = 62.5%.

Q49.
If the cost of an article increased from ₹200 to ₹250, the percentage increase is:
A20%
B25%
C30%
D15%
Show Answer & Explanation

Correct Answer: B - 25%

Increase = (50/200) × 100 = 25%.

Q50.
In a school of 500 students, 55% are girls. How many more girls than boys are there?
A60
B55
C45
D50
Show Answer & Explanation

Correct Answer: D - 50

Girls=275, Boys=225. Difference=50.

Q51.
A value is increased by 25% and then decreased by 20%. What is the net change?
A0%
B5% increase
C5% decrease
D10% increase
Show Answer & Explanation

Correct Answer: A - 0%

1.25 x 0.80 = 1.00, so there is no net change.

Q52.
If 40% of x equals 64% of y, then x:y is:
A5:8
B8:5
C16:25
D25:16
Show Answer & Explanation

Correct Answer: B - 8:5

0.40x = 0.64y, so x/y = 0.64/0.40 = 8/5.

Q53.
A number is first reduced by 30% and then increased to return to the original value. Required percentage increase is:
A30%
B42.86%
C45%
D50%
Show Answer & Explanation

Correct Answer: B - 42.86%

After 30% reduction, value is 70. Increase needed = 30/70 x 100 = 42.86%.

Q54.
If A is 20% more than B, then B is what percent less than A?
A16.67%
B20%
C25%
D12.5%
Show Answer & Explanation

Correct Answer: A - 16.67%

Let B=100, A=120. B is less than A by 20/120 x 100 = 16.67%.

Q55.
A student scores 72 marks after losing 20% marks for wrong answers. What was the score before penalty?
A86
B88
C90
D92
Show Answer & Explanation

Correct Answer: C - 90

72 is 80% of original. Original = 72/0.8 = 90.

Q56.
Population grows by 10% in the first year and 20% in the second year. Net increase is:
A30%
B31%
C32%
D33%
Show Answer & Explanation

Correct Answer: C - 32%

1.10 x 1.20 = 1.32, so net increase is 32%.

Q57.
A price is decreased by 10%. Sales quantity increases by 20%. Revenue changes by:
A8% increase
B10% increase
C12% increase
DNo change
Show Answer & Explanation

Correct Answer: A - 8% increase

Revenue factor = 0.9 x 1.2 = 1.08, so revenue increases by 8%.

Q58.
If 35% of a number is 14 more than 25% of the same number, the number is:
A100
B120
C140
D160
Show Answer & Explanation

Correct Answer: C - 140

Difference is 10% of number = 14, so number = 140.

Q59.
A candidate needs 40% to pass. He scores 198 and fails by 22 marks. Maximum marks are:
A500
B525
C550
D575
Show Answer & Explanation

Correct Answer: C - 550

Passing marks = 198+22 = 220 = 40% of maximum. Maximum = 550.

Q60.
If the numerator of a fraction increases by 20% and denominator decreases by 20%, the fraction changes by:
A25% increase
B40% increase
C50% increase
DNo change
Show Answer & Explanation

Correct Answer: C - 50% increase

New fraction factor = 1.2/0.8 = 1.5, so it increases by 50%.

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