Question

A customer could not decide between a discount of 40% or two successive discounts of 25% and 15% to buy a certain article. What is the difference between both the discounts?

• A. 3.25%
• B. 2.75%
• C. 2.25%
• D. 3.75%

Answer 1

Answer:

D. 3.75%

Let the marked price be ₹100 (for easy calculation).

Case 1: Single discount of 40%

$\text{Discount} = 40$
$\text{Selling Price} = 100 - 40 = 60$

Case 2: Two successive discounts of 25% and 15%

First discount:
$25$
Price after first discount:
$100 - 25 = 75$
Second discount:
$15$
Total discount:
$25 + 11.25 = 36.25$
Difference between the discounts:

$40 - 36.25 = 3.75$

The difference between both discounts is 3.75%.