Successive discounts of 20% and 15% are equal to a single equivalent discount of what percentage? MCQ with Answer and Explanation

Successive discounts of 20% and 15% are equal to a single equivalent discount of what percentage?
A. 35%
B. 30%
C. 33%
D. 32%
Answer: Option D
Solution (By JKSSB Mock Tests)
Equivalent discount = A + B - (A * B) / 100. So, 20 + 15 - (20 * 15) / 100 = 35 - 300 / 100 = 35 - 3 = 32%.

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Practice More Profit And Loss Questions

Question #1
A dealer sells an article at a loss of 4%. Had he sold it for Rs. 120 more, he would have gained 8%. What is the cost price of the article?
A. Rs. 1200
B. Rs. 800
C. Rs. 900
D. Rs. 1000

Correct Answer: Option D


Explanation:
The difference between an 8% gain and a 4% loss is 12% of the cost price. So, 12% of CP = 120. CP = (120 * 100) / 12 = Rs. 1000.

This question belongs to: Maths Profit And Loss
Question #2
By selling 12 items for Rs. 60, a man loses 25%. How many items must he sell for Rs. 100 to gain 25%?
A. 12
B. 10
C. 15
D. 16

Correct Answer: Option A


Explanation:
Selling Price of 12 items = 60. Selling Price of 1 item = 5. Cost Price of 1 item = 5 / 0.75 = 20 / 3. Desired Selling Price for 25% profit = (20 / 3) * 1.25 = 25 / 3. Number of items for Rs. 100 = 100 / (25 / 3) = 12 items.

This question belongs to: Maths Profit And Loss
Question #3
The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make a 25% profit?
A. Rs. 2000
B. Rs. 2500
C. Rs. 2200
D. Rs. 2400

Correct Answer: Option A


Explanation:
Cost Price = (1920 + 1280) / 2 = 3200 / 2 = 1600. Desired Selling Price for 25% profit = 1600 * 1.25 = 2000.

This question belongs to: Maths Profit And Loss