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Two successive discounts of 10% and 15% is equal to a single discount of:

  • A.25.0%
  • B.25.5%
  • C.23.0%
  • D.23.5%

Answer: D

The single discount is 23.5 per cent. After successive discounts of 10 and 15 per cent the price becomes 0.90 x 0.85 = 0.765 of the original, so the total discount is 1 - 0.765 = 0.235, which is 23.5 per cent. Equivalently, the single discount is \[10 + 15 - \frac{10 \times 15}{100} = 23.5\] per cent. The option 25 per cent just adds the two discounts and ignores the second being taken on the reduced price.

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