MCQs on Percentages

[Set - 6]

1. The number of visitors to a park increased by 20% in the first year and by 30% in the second year. What is the overall percentage increase in the number of visitors over the two years?

A) 50%
B) 56%
C) 60%
D) 44%

Correct Answer: B) 56%
Explanation:
Let the initial number of visitors be 100 .
After a 20% increase: 100 \times 1.20 = 120
After a 30% increase on 120: 120 \times 1.30 = 156
Overall increase = 156 – 100 = 56% .

2. A price is increased by 15% and then decreased by 10%. What is the net percentage increase or decrease in the price?

A) 3.5% increase
B) 4% increase
C) 2% decrease
D) 5% decrease

Correct Answer: A) 3.5% increase
Explanation:
Let the original price be 100 .
After a 15% increase: 100 \times 1.15 = 115
Then a 10% decrease on 115: 115 \times 0.90 = 103.5
Net change = 103.5 – 100 = 3.5% increase.

3. If a student scores 72 out of 90 in a test, what is his percentage score?

A) 70%
B) 80%
C) 85%
D) 90%

Correct Answer: B) 80%
Explanation:
Percentage score = \frac{72}{90} \times 100 = 80% .

4. The price of an item was ₹3,000, but due to a special offer, it was sold for ₹2,400. What percentage discount was offered on the item?

A) 10%
B) 15%
C) 20%
D) 25%

Correct Answer: C) 20%
Explanation:
Discount percentage = \frac{3000 – 2400}{3000} \times 100 = 20% .

5. In a certain election, 75% of the total eligible voters voted. If 60,000 voters cast their vote, how many eligible voters were there?

A) 70,000
B) 75,000
C) 80,000
D) 90,000

Correct Answer: B) 75,000
Explanation:
Let the total number of eligible voters be x .
Then, 0.75x = 60000
x = \frac{60000}{0.75} = 75000 .

6. A person's monthly expenses are ₹18,000, which is 80% of his income. What is his total monthly income?

A) ₹20,000
B) ₹22,500
C) ₹25,000
D) ₹30,000

Correct Answer: C) ₹25,000
Explanation:
Let the income be x . Then, 0.80x = 18000
x = \frac{18000}{0.80} = 25000 .

7. A company's revenue increased from ₹8,00,000 to ₹9,60,000 in a year. What is the percentage increase in the company's revenue?

A) 10%
B) 15%
C) 20%
D) 25%

Correct Answer: C) 20%
Explanation:
Percentage increase = \frac{960000 – 800000}{800000} \times 100 = 20% .

8. The price of gold increased by 8% in a year. If the price at the beginning of the year was ₹45,000 per 10 grams, what is the price at the end of the year?

A) ₹48,600
B) ₹48,400
C) ₹47,800
D) ₹49,000

Correct Answer: A) ₹48,600
Explanation:
Price at the end of the year = 45000 \times 1.08 = 48600 .

9. A student's marks decreased by 15%. If he scored 170 marks initially, what are his new marks after the decrease?

A) 140
B) 144.5
C) 145
D) 153

Correct Answer: D) 153
Explanation:
New marks = 170 \times 0.85 = 153 .

10. If the price of a product is reduced by 20% and the new price is ₹800, what was the original price of the product?

A) ₹900
B) ₹1,000
C) ₹1,050
D) ₹1,200

Correct Answer: B) ₹1,000
Explanation:
Let the original price be x .
0.80x = 800
x = \frac{800}{0.80} = 1000 .

11. A company has 600 employees, out of which 30% are women. How many women work in the company?

A) 150
B) 180
C) 200
D) 210

Correct Answer: B) 180
Explanation:
Number of women = 600 \times 0.30 = 180 .

12. A sum of ₹9,000 is divided between two people in the ratio 3:2. What percentage of the total amount does the smaller share represent?

A) 30%
B) 40%
C) 50%
D) 60%

Correct Answer: B) 40%
Explanation:
The smaller share is \frac{2}{5} \times 9000 = 3600 .
Percentage of total = \frac{3600}{9000} \times 100 = 40% .

13. The cost of a machine depreciates by 8% annually. If the machine was purchased for ₹2,00,000, what will be its value after 2 years?

A) ₹1,68,400
B) ₹1,68,200
C) ₹1,70,000
D) ₹1,78,000

Correct Answer: A) ₹1,68,400
Explanation:
Value after 2 years = 200000 \times (1 – 0.08)^2 = 200000 \times 0.92 \times 0.92 = 168400 .

14. If 60% of a number is equal to 480, what is 85% of the same number?

A) 640
B) 680
C) 700
D) 720

Correct Answer: D) 720
Explanation:
Let the number be x .
0.60x = 480
x = \frac{480}{0.60} = 800
So, 85% of x = 800 \times 0.85 = 720 .

15. A person's salary increased by 12% and became ₹56,000. What was the salary before the increase?

A) ₹50,000
B) ₹48,000
C) ₹52,000
D) ₹46,000

Correct Answer: A) ₹50,000
Explanation:
Let the original salary be x .
x \times 1.12 = 56000
x = \frac{56000}{1.12} = 50000 .

16. A company reduced the price of its product by 25% to boost sales. If the original price was ₹20,000, what is the new price?

A) ₹15,000
B) ₹14,500
C) ₹16,000
D) ₹18,000

Correct Answer: C) ₹15,000
Explanation:
New price after a 25% reduction = 20000 \times 0.75 = 15000 .

17. A student scored 90 marks in a subject, which is 75% of the total marks. What are the total marks for the subject?

A) 100
B) 120
C) 150
D) 200

Correct Answer: B) 120
Explanation:
Let the total marks be x . Then, 0.75x = 90 .
x = \frac{90}{0.75} = 120 .

18. If a population increases by 10% every year, by what percentage will it increase in 2 years?

A) 20%
B) 21%
C) 22%
D) 25%

Correct Answer: B) 21%
Explanation:
Overall increase over 2 years = (1.10 \times 1.10) – 1 = 0.21 , or 21%.

19. A person's weight decreased from 80 kg to 68 kg in 6 months. What is the percentage decrease in his weight?

A) 10%
B) 12%
C) 15%
D) 20%

Correct Answer: D) 20%
Explanation:
Percentage decrease = \frac{80 – 68}{80} \times 100 = 20% .

20. If 5% of a sum of money is ₹1,000, what is 85% of the same sum?

A) ₹16,000
B) ₹17,000
C) ₹18,000
D) ₹19,000

Correct Answer: B) ₹17,000
Explanation:
Let the total sum be x . Then, 0.05x = 1000 .
x = \frac{1000}{0.05} = 20000 .
So, 85% of x = 20000 \times 0.85 = 17000 .

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