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30% discount on Rs. 1000 and 2 successive discounts of 15% and 15% will have a difference of

  • A.Rs. 22.5
  • B.Rs. 10
  • C.Rs. 150
  • D.Rs. 0

Answer: A

Single 30% discount:

\[ 1000 \times 0.70 = \text{Rs. } 700 \]

Successive 15% and 15%:

\[ 1000 \times 0.85 \times 0.85 = 1000 \times 0.7225 = \text{Rs. } 722.50 \]

\[ \text{difference} = 722.50 - 700 = \text{Rs. } 22.50 \]

The single discount is the better one for the buyer. The gap equals \( 1000 \times 0.15 \times 0.15 = 22.50 \) - the product term that successive discounting always forfeits.

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