Question : The successive discounts of 12%, 20%, and 25% is equivalent to a single discount of:
Option 1: 52.2%
Option 2: 49.5%
Option 3: 47.2%
Option 4: 57.0%
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Correct Answer: 47.2%
Solution :
We know:
Equivalent single discount = $(X+Y−\frac{XY}{100})$% where $X$ and $Y$ represent successive discounts.
Net discount % for two successive discounts of 12% and 20%
= 12 + 20 - $\frac{12\times 20}{100}$
= 29.6%
Net discount % for two successive discounts of 29.6% and 25%
= 29.6 + 25 - $\frac{29.6\times 25}{100}$
= 47.2%
Hence, the correct answer is 47.2%.
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