Discussion
Find the single equivalent discount of 10%, 15% and 30%.
Answer: B
The single equivalent discount is 46.45%. Successive discounts of 10%, 15% and 30% leave 90%, 85% and 70% of the marked price: \[ 0.90\times 0.85\times 0.70 = 0.5355 \] So the price after the three discounts is 53.55% of the marked price, and the single discount is \[ 100 - 53.55 = 46.45\% \] The sum 55% is not the answer, because each later discount applies to the reduced price. The other options 78.14%, 56.12% and 66.12% are not near the product.
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