A single discount which is equivalent to a series of discounts p\%, \frac{p}{2}\%, \frac{p}{4}\% is 31.6%. What is the value of p ?

Explanation

Testing option (b) where p = 20, the series of discounts are 20%, 10%, and 5%. The final selling price multiplier is 0.8 \times 0.9 \times 0.95 = 0.684. The net discount is 1 - 0.684 = 0.316, which equals 31.6%.

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