Question

Find the single discount in percentage which is equivalent to two successive discounts of 25% and 20% given on an article​.

• A. 10%
• B. 20%
• C. 30%
• D. 40%

Answer 1

The correct option is D 40%

Given,
two successive discounts on an article are 25% and 20%.

Let,
the marked price of an article be ₹ 100.

Now,
First discount of 25%
= 25% of ₹ 100
= ₹ 25

Price after 1st discount
= ₹ 100 - ₹ 25
= ₹ 75

Second discount of 20%
= 20% of ₹ 75
= ₹ 15

Price after 2nd discount
= ₹ 75 - ₹ 15
= ₹ 60

Therefore, Single discount in percentage equivalent to two given successive discounts
= (change in price / initial price) $\times$ 100
= (100 - 60 / 100) $\times$ 100
= 40 %