If the successive discount by 10% and 15% is given, then what is the single equivalent rate of discount?

Question

Accepted Answer

To find the single equivalent discount rate for successive discounts of 10% and 15%, use the formula:

Equivalent discount = d1 + d2 - (d1 * d2) / 100

Where d1 = 10% and d2 = 15%

Equivalent discount = 10 + 15 - (10 * 15) / 100
= 25 - 150/100
= 25 - 1.5
= 23.5%

However, the options given include 23.5% and 32.3%. Let's verify carefully.

Alternatively, the successive discount can be calculated by considering the price after first discount and then applying the second discount:

Let the original price be 100.
After 10% discount, price = 100 - 10 = 90
After 15% discount on 90, price = 90 - (15% of 90) = 90 - 13.5 = 76.5

So, the total discount = 100 - 76.5 = 23.5

Therefore, the single equivalent discount rate is 23.5%.

Hence, the correct answer is 23.5% (option 4).

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