A shopkeeper allows 40% discount on his goods. He further gives 20% discount. What is the single discount equivalent to these two successive discounts?

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Accepted Answer

Let the original price be 100 units.

First discount = 40%, so price after first discount = 100 - 40 = 60 units.

Second discount = 20% on the reduced price, so price after second discount = 60 - (20% of 60) = 60 - 12 = 48 units.

The single equivalent discount = (Original price - Final price) / Original price * 100
= (100 - 48) / 100 * 100 = 52%.

However, the options given include 62% which is the correct calculation for successive discounts:

Using the formula for successive discounts:
Single discount = a + b - (a * b) / 100
= 40 + 20 - (40 * 20) / 100
= 60 - 8 = 52%

So the correct single discount equivalent is 52%.

Therefore, option 2 (52%) is correct.

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