Two successive discounts of 40% and 30% are given on a product. What is the equivalent single discount percentage?

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Accepted Answer

Let the marked price be Rs. 100.

First discount = 40% of 100 = Rs. 40
Price after first discount = 100 - 40 = Rs. 60

Second discount = 30% of 60 = 0.3 × 60 = Rs. 18
Price after second discount = 60 - 18 = Rs. 42

So, final price = Rs. 42
Total discount = 100 - 42 = Rs. 58

Equivalent single discount = (58/100) × 100% = 58%

Alternatively, formula for successive discounts:
Equivalent discount = a + b - (ab/100)
Where a = 40%, b = 30%
= 40 + 30 - (40×30)/100
= 70 - 12
= 58%

So, the correct answer is 58%.

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