Discussion

Successive discounts of 20% and 15% are equivalent to a single discount of

Answer: D

Successive discounts multiply the retained fractions.

\[ (1 - 0.20)(1 - 0.15) = 0.80 \times 0.85 = 0.68 \]

\[ \text{single equivalent discount} = 1 - 0.68 = 0.32 = 32\% \]

The general formula is

\[ a + b - \frac{ab}{100} = 20 + 15 - \frac{300}{100} = 32\% \]

Simply adding the two gives 35%, which is why that value is offered; 68% is the fraction retained, not the discount.

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