MCQs on Percentages

[Set - 1]

1. A shopkeeper offers a discount of 25% on the marked price of a shirt. If the marked price of the shirt is ₹1,200, what is the selling price?

A) ₹900
B) ₹850
C) ₹950
D) ₹1,000

Correct Answer: A) ₹900
Explanation:
The selling price after a 25% discount is calculated as:
\text{Selling Price} = 1200 \times (1 – \frac{25}{100}) = 1200 \times 0.75 = 900

2. If 45% of a number is 180, what is the number?

A) 400
B) 360
C) 280
D) 300

Correct Answer: D) 300
Explanation:
Let the number be x .
So, 0.45 \times x = 180
x = \frac{180}{0.45} = 400

3. A person spends 60% of his salary. If he saves ₹4,800, what is his total salary?

A) ₹11,000
B) ₹12,000
C) ₹13,100
D) ₹14,000

Correct Answer: B) ₹12,000
Explanation:
If 40% of the salary is saved, then:
0.40 \times \text{Salary} = 4800
\text{Salary} = \frac{4800}{0.40} = 12000

4. Find the percentage increase when a quantity increases from 500 to 700.

A) 40%
B) 50%
C) 30%
D) 25%

Correct Answer: A) 40%
Explanation:
Percentage increase = \frac{700 – 500}{500} \times 100 = \frac{200}{500} \times 100 = 40%

5. A student scored 72 marks in an exam. If this is 80% of the total marks, what are the total marks?

A) 80
B) 85
C) 90
D) 100

Correct Answer: C) 90
Explanation:
Let the total marks be x .
0.80 \times x = 72
x = \frac{72}{0.80} = 90

6. By what percent is ₹400 more than ₹320?

A) 20%
B) 25%
C) 30%
D) 40%

Correct Answer: D) 40%
Explanation:
Increase = 400 – 320 = 80
Percentage increase = \frac{80}{320} \times 100 = 25%

7. If the population of a town increases by 10% every year, what will be its population after 2 years if the current population is 50,000?

A) 60,000
B) 55,000
C) 60,500
D) 50,000

Correct Answer: A) 60,000
Explanation:
Population after 2 years = 50,000 \times (1 + \frac{10}{100})^2
= 50,000 \times 1.1 \times 1.1 = 60,500

8. The price of a commodity increases by 20%. By what percentage must a person reduce the consumption of that commodity so that the expenditure remains the same?

A) 16.67%
B) 17.67%
C) 26.67%
D) 27.67%

Correct Answer: A) 16.67%
Explanation:
Required reduction percentage = \frac{20}{120} \times 100 = 16.67%

9. A company has 40 employees. If 30% of them are women, how many women are there in the company?

A) 10
B) 12
C) 14
D) 16

Correct Answer: B) 12
Explanation:
Number of women = 40 \times \frac{30}{100} = 12

10. If a car's value depreciates by 15% every year, what will be the value of the car after 3 years if its present value is ₹5,00,000?

A) ₹3,52,000
B) ₹3,57,125
C) ₹3,57,725
D) ₹3,75,000

Correct Answer: B) ₹3,57,125
Explanation:
Value after 3 years = 5,00,000 \times (1 – \frac{15}{100})^3
= 5,00,000 \times 0.85 \times 0.85 \times 0.85 = 3,57,125

11. If a person spends 70% of his income and saves ₹6,000, what is his total income?

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

Correct Answer: D) ₹20,000
Explanation:
If 30% of income is saved, then:
0.30 \times \text{Income} = 6000
\text{Income} = \frac{6000}{0.30} = 20,000

12. A student scored 56 marks, which is 70% of the total marks. How many more marks does the student need to score 85%?

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

Correct Answer: B) 12
Explanation:
Total marks = \frac{56}{0.70} = 80
To score 85%: 0.85 \times 80 = 68
Marks needed = 68 – 56 = 12

13. A price is increased by 20% and then decreased by 25%. What is the net percentage change in price?

A) 5% decrease
B) 10% decrease
C) 5% increase
D) 10% increase

Correct Answer: A) 5% decrease
Explanation:
Let the initial price be 100 .
New price after a 20% increase = 100 \times 1.20 = 120
Price after 25% decrease = 120 \times 0.75 = 90
Net change = 100 – 90 = 10%

14. 35% of 200 is what percent of 700?

A) 5%
B) 10%
C) 15%
D) 20%

Correct Answer: B) 10%
Explanation:
35% of 200 = 0.35 \times 200 = 70
\frac{70}{700} \times 100 = 10%

15. If 18% of a number is added to 45, the result is the number itself. Find the number.

A) 45
B) 50
C) 55
D) 60

Correct Answer: D) 60
Explanation:
Let the number be x .
0.18x + 45 = x
x = 60

16. The population of a town increased by 10% in the first year and decreased by 5% in the second year. What is the net percentage change in population over the two years?

A) 4.5% increase
B) 4.5% decrease
C) 5% increase
D) 5% decrease

Correct Answer: A) 4.5% increase
Explanation:
Net change = 10 – 5 – \frac{(10 \times 5)}{100} = 4.5
Therefore, the net percentage change is a 4.5% increase.

17. A trader marks up his goods by 50% and then offers a discount of 30%. What is his overall profit or loss percentage?

A) 4% profit
B) 4% loss
C) 5% profit
D) 5% loss

Correct Answer: C) 5% profit
Explanation:
Let the cost price be 100 . After a 50% markup, the price becomes 150 .
After a 30% discount on 150 :
\text{Selling Price} = 150 \times 0.70 = 105
Profit = 105 – 100 = 5%

18. A number is decreased by 25% and then increased by 30%. What is the net percentage change in the number?

A) 2.5% increase
B) 2.5% decrease
C) 5% increase
D) 5% decrease

Correct Answer: A) 2.5% increase
Explanation:
Let the original number be 100 .
After a 25% decrease, it becomes 75 .
After a 30% increase: 75 \times 1.30 = 97.5
Net change = 2.5% increase.

19. If a person spends 65% of his income and saves ₹7,000, what is his total income?

A) ₹15,000
B) ₹20,000
C) ₹25,000
D) ₹18,000

Correct Answer: B) ₹20,000
Explanation:
If 35% of income is saved, then:
0.35 \times \text{Income} = 7000
\text{Income} = \frac{7000}{0.35} = 20,000

20. If 20% of a number is 120, what is 150% of the number?

A) 720
B) 800
C) 900
D) 600

Correct Answer: C) 900
Explanation:
Let the number be x .
0.20x = 120
x = \frac{120}{0.20} = 600
Then, 1.50 \times 600 = 900

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