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1.2 Percentage Practice Sheet

The document is a practice sheet containing a series of percentage-related questions and answers, categorized into basic and medium levels. Each question includes multiple-choice options, the correct answer, and a hint for solving the problem. The practice sheet covers various percentage concepts such as calculations, increases, decreases, and comparisons.
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0% found this document useful (0 votes)
69 views17 pages

1.2 Percentage Practice Sheet

The document is a practice sheet containing a series of percentage-related questions and answers, categorized into basic and medium levels. Each question includes multiple-choice options, the correct answer, and a hint for solving the problem. The practice sheet covers various percentage concepts such as calculations, increases, decreases, and comparisons.
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Percentage Practice Sheet

🔹 Basic Level (Q1–20)


1.

Q: 25% of 200 is:​


a) 25​
b) 40​
c) 50​
d) 60​
✅ Correct Answer: c​
💡 Hint: (25/100) × 200

2.

Q: What percent of 80 is 20?​


a) 15%​
b) 20%​
c) 25%​
d) 30%​
✅ Correct Answer: c​
💡 Hint: (20/80) × 100

3.

Q: 60 is what percent of 300?​


a) 15%​
b) 18%​
c) 20%​
d) 25%​
✅ Correct Answer: c​
💡 Hint: (60/300) × 100
Percentage Practice Sheet

4.

Q: Increase 400 by 25%.​


a) 450​
b) 475​
c) 500​
d) 525​
✅ Correct Answer: c​
💡 Hint: New value = 400 + (25% of 400)

5.

Q: Decrease 200 by 10%.​


a) 180​
b) 185​
c) 190​
d) 195​
✅ Correct Answer: c​
💡 Hint: 200 – (10% of 200)

6.

Q: What percent of 50 is 5?​


a) 2%​
b) 5%​
c) 10%​
d) 15%​
✅ Correct Answer: c​
💡 Hint: (5/50) × 100
Percentage Practice Sheet
7.

Q: 10% of 250 is:​


a) 10​
b) 15​
c) 25​
d) 30​
✅ Correct Answer: c​
💡 Hint: 250 × 10/100

8.

Q: What is 150% of 80?​


a) 100​
b) 120​
c) 130​
d) 140​
✅ Correct Answer: b​
💡 Hint: 1.5 × 80

9.

Q: 40% of a number is 120. Find the number.​


a) 200​
b) 250​
c) 300​
d) 320​
✅ Correct Answer: c​
💡 Hint: 40% of X = 120 → X = (120 × 100) ÷ 40
Percentage Practice Sheet
10.

Q: If 25% of a number is 80, the number is:​


a) 320​
b) 300​
c) 280​
d) 250​
✅ Correct Answer: a​
💡 Hint: 25% of X = 80 → X = (80 × 100) ÷ 25

11.

Q: 5% of 2,000 is:​
a) 10​
b) 50​
c) 100​
d) 200​
✅ Correct Answer: c​
💡 Hint: 2000 × 0.05

12.

Q: Increase 640 by 12.5%​


a) 700​
b) 710​
c) 720​
d) 740​
✅ Correct Answer: c​
💡 Hint: 640 + (640 × 12.5 ÷ 100)
Percentage Practice Sheet
13.

Q: If 75% of a number is 150, what is 20% of the same number?​


a) 30​
b) 40​
c) 50​
d) 60​
✅ Correct Answer: d​
💡 Hint: Find full number → then 20%

14.

Q: What percent of ₹1200 is ₹180?​


a) 10%​
b) 12%​
c) 15%​
d) 18%​
✅ Correct Answer: c​
💡 Hint: (180/1200) × 100

15.

Q: A number is increased by 20%. The new number is 600. What was the original
number?​
a) 480​
b) 500​
c) 520​
d) 530​
✅ Correct Answer: b​
💡 Hint: X + 20% of X = 600 → 1.2X = 600
Percentage Practice Sheet
16.

Q: If a number is decreased by 25%, it becomes 225. What is the original number?​


a) 250​
b) 275​
c) 300​
d) 325​
✅ Correct Answer: c​
💡 Hint: 75% of X = 225 → X = (225 × 100) ÷ 75

17.

Q: What is 0.25% of 800?​


a) 2​
b) 2.5​
c) 1.5​
d) 1​
✅ Correct Answer: a​
💡 Hint: 800 × 0.0025

18.

Q: If A is 40% more than B, then B is how much less than A?​


a) 20%​
b) 25%​
c) 28.5%​
d) 30%​
✅ Correct Answer: b​
💡 Hint: Use reverse percentage method
Percentage Practice Sheet
19.

Q: A student scores 60% in a test of 200 marks. How many marks did he score?​
a) 100​
b) 110​
c) 120​
d) 130​
✅ Correct Answer: c​
💡 Hint: 60% of 200

20.

Q: Convert 2/5 into percentage.​


a) 30%​
b) 35%​
c) 40%​
d) 50%​
✅ Correct Answer: c​
💡 Hint: (2/5) × 100

🔸 Medium Level (Q21–35)


21.

Q: A number is increased by 20% and then decreased by 20%. What is the net
percentage change?​
a) 0%​
b) 4% decrease​
c) 4% increase​
d) 2% decrease​
✅ Correct Answer: b​
💡 Hint: Net % change = (a - b - ab/100) where a = +20, b = -20
Percentage Practice Sheet

22.

Q: A salary is increased by 25% and then decreased by 20%. What is the net
percentage change?​
a) 0%​
b) 2% increase​
c) 4% increase​
d) No change​
✅ Correct Answer: b​
💡 Hint: Use the formula: Net% = a + b + (ab/100)

23.

Q: A student had 60% marks and failed by 12 marks. If the passing marks were 240,
what was the total marks?​
a) 400​
b) 420​
c) 450​
d) 500​
✅ Correct Answer: d​
💡 Hint: 60% of X = 240 – 12

24.

Q: A shopkeeper marks an item 40% above cost price and allows a discount of
10%. Find his gain percent.​
a) 26%​
b) 28%​
c) 30%​
d) 32%​
✅ Correct Answer: a​
💡 Hint: Marked = 140, Discounted = 126 → Profit = 26 on 100
Percentage Practice Sheet

25.

Q: A’s income is 20% more than B’s. By what percent is B’s income less than A’s?​
a) 16.66%​
b) 18%​
c) 20%​
d) 25%​
✅ Correct Answer: a​
💡 Hint: Use reverse percentage → Diff/A × 100

26.

Q: A reduction of 20% in the price of sugar enables a person to buy 5 kg more for
₹240. Find the original price per kg.​
a) ₹10​
b) ₹12​
c) ₹15​
d) ₹20​
✅ Correct Answer: b​
💡 Hint: Let original price = ₹x → 240/x – 240/(0.8x) = 5

27.

Q: When 25 is subtracted from a number, it reduces by 20%. What is the original


number?​
a) 100​
b) 110​
c) 120​
d) 125​
✅ Correct Answer: d​
💡 Hint: 20% of X = 25
Percentage Practice Sheet
28.

Q: A student increased his score from 40 to 50. What is the percentage increase?​
a) 20%​
b) 22%​
c) 25%​
d) 30%​
✅ Correct Answer: c​
💡 Hint: (10/40) × 100

29.

Q: The population of a city increases by 10% annually. If current population is


1,21,000, what was it 2 years ago?​
a) 1,00,000​
b) 1,10,000​
c) 1,05,000​
d) 95,000​
✅ Correct Answer: a​
💡 Hint: Backtrack: Population ÷ 1.1 ÷ 1.1

30.

Q: A value is increased by 10% and again increased by 20%. What is the net
percentage increase?​
a) 30%​
b) 32%​
c) 28%​
d) 25%​
✅ Correct Answer: b​
💡 Hint: Use formula: a + b + (ab/100)
Percentage Practice Sheet
31.

Q: If 40% of A = 60% of B, then A : B = ?​


a) 2 : 3​
b) 3 : 2​
c) 4 : 3​
d) 3 : 4​
✅ Correct Answer: b​
💡 Hint: 40A = 60B → A/B = 3/2

32.

Q: A’s income is 25% more than B’s. If total income of A and B is ₹11250, find A’s
income.​
a) ₹5000​
b) ₹6000​
c) ₹6250​
d) ₹7000​
✅ Correct Answer: c​
💡 Hint: Let B = x → A = 1.25x → Total = 2.25x

33.

Q: If the price of petrol rises by 25%, by how much % should consumption be


reduced so that expense remains same?​
a) 20%​
b) 25%​
c) 18%​
d) 15%​
✅ Correct Answer: a​
💡 Hint: % reduction = (R / (100+R)) × 100
Percentage Practice Sheet
34.

Q: A student gets 20% more marks in English than in Science. If total marks
obtained in both is 132, what are Science marks?​
a) 60​
b) 65​
c) 66​
d) 70​
✅ Correct Answer: c​
💡 Hint: Let Science = x → English = 1.2x → x + 1.2x = 132

35.

Q: Two numbers are in the ratio 3:4. If each is increased by 20%, what is the new
ratio?​
a) 3:5​
b) 4:5​
c) 6:7​
d) 18:25​
✅ Correct Answer: b​
💡 Hint: Multiply each by 1.2 → Ratio = 3.6:4.8 → Simplify
36.

Q: A man spends 75% of his income. His income increases by 20% and his
expenditure increases by 10%. Find the percentage increase in his savings.​
a) 25%​
b) 50%​
c) 100%​
d) 75%​
✅ Correct Answer: c​
💡 Hint: Assume income = 100, savings = 25 → new income = 120, new
expenditure = 82.5 → savings = 37.5
Percentage Practice Sheet
37.

Q: A man saves 20% of his income. His income increases by 25%, and his savings
increase by 40%. What is the % increase in expenditure? (SSC CGL PYQ)​
a) 20%​
b) 25%​
c) 30%​
d) 35%​
✅ Correct Answer: a​
💡 Hint: Use assumption: income = 100, saving = 20 → find new expenditure

38.

Q: The price of an article increases by 15%. If the expenditure is not to be


increased, by what percent must the consumption be reduced? (SSC PYQ)​
a) 13.04%​
b) 15%​
c) 14.28%​
d) 12.5%​
✅ Correct Answer: a​
💡 Hint: Use formula = (R / (100 + R)) × 100

39.

Q: A number is first increased by 10% and then decreased by 10%. The net change
is: (SSC CHSL PYQ)​
a) 0%​
b) 1% decrease​
c) 1% increase​
d) 2% decrease​
✅ Correct Answer: b​
💡 Hint: Net % change = a - b - (ab/100)
Percentage Practice Sheet
40.

Q: If A’s salary is 25% more than B’s and B’s salary is 20% less than C’s, then how
much percent is A’s salary more than C’s?​
a) 0%​
b) 5%​
c) 10%​
d) Cannot be determined​
✅ Correct Answer: b​
💡 Hint: Assume C = 100 → B = 80 → A = 100

41.

Q: The price of sugar increases by 20%. By how much % must a household reduce
its consumption so that expenditure increases only by 8%?​
a) 10%​
b) 8%​
c) 12%​
d) 10%​
✅ Correct Answer: c​
💡 Hint: New consumption = (1.08 / 1.20)

42.

Q: A man earns ₹6000 per month. His income is increased by 10% and then
decreased by 10%. What is his final income?​
a) ₹6000​
b) ₹5940​
c) ₹6060​
d) ₹6100​
✅ Correct Answer: b​
💡 Hint: Use successive % change: Net = -1% → 6000 × 0.99
Percentage Practice Sheet
43.

Q: When the price of a book is increased by 20%, 4 fewer books can be bought for
₹120. Find the original price. (SSC CGL PYQ)​
a) ₹5​
b) ₹6​
c) ₹8​
d) ₹10​
✅ Correct Answer: b​
💡 Hint: Let original price = x → 120/x – 120/1.2x = 4

44.

Q: The population of a town increases by 12% annually. If the population after 2


years is 12544, what was the population 2 years ago?​
a) 10,000​
b) 11,000​
c) 9,600​
d) 11,200​
✅ Correct Answer: a​
💡 Hint: Backtrack: 12544 ÷ 1.12 ÷ 1.12

45.

Q: A salary is first decreased by 20% and then increased by 25%. What is the net %
change?​
a) 0%​
b) 5% increase​
c) 10% increase​
d) No change​
✅ Correct Answer: b​
💡 Hint: Use formula = a + b + ab/100
Percentage Practice Sheet
46.

Q: If 70% of students passed in English and 80% passed in Maths, and 10% failed in
both, what percent passed in at least one subject? (SSC PYQ)​
a) 80%​
b) 90%​
c) 95%​
d) 100%​
✅ Correct Answer: b​
💡 Hint: 100% – 10% = 90%

47.

Q: If the population of a city increases by 10% annually, what will be the population
after 3 years if current population is 20,000?​
a) 26,000​
b) 24,200​
c) 26,620​
d) 22,000​
✅ Correct Answer: c​
💡 Hint: 20000 × (1.1)^3

48.

Q: A man donates 10% of his salary. If he donates ₹450, what is his salary?​
a) ₹4500​
b) ₹5000​
c) ₹5500​
d) ₹6000​
✅ Correct Answer: b​
💡 Hint: 10% = 450 → full = 4500
Percentage Practice Sheet
49.

Q: A shopkeeper gives 10% discount and still makes 8% profit. What is the markup
% on cost price? (ATC PYQ)​
a) 18%​
b) 20%​
c) 25%​
d) 20.5%​
✅ Correct Answer: c​
💡 Hint: Use: Marked Price = 100 + x; Selling Price = 0.9 × MP; SP = 108 → solve

50.

Q: If 10% of A = 15% of B, then A : B = ?​


a) 2 : 3​
b) 3 : 2​
c) 5 : 3​
d) 3 : 5​
✅ Correct Answer: d​
💡 Hint: 10A = 15B → A/B = 3/5

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