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A company sells pens at a price of Rs. 100 per dozen, but gives a 15% discount on any order which exceeds 12 dozens. If a merchant wants to get three thousand pens, how much he will have to pay?

  • A.Rs. 17425
  • B.Rs. 20500
  • C.Rs. 21250
  • D.Rs. 23500

Answer: C

Convert the order to dozens first, since both the price and the discount threshold are quoted per dozen.

\[ \frac{3000}{12} = 250 \text{ dozen} \]

That exceeds 12 dozen, so the 15% discount applies to the whole order.

\[ \text{list price} = 250 \times 100 = \text{Rs. } 25000 \]

\[ \text{payable} = 25000 \times 0.85 = \text{Rs. } 21250 \]

The discount applies to the entire order once the threshold is crossed, not only to the dozens above 12 - charging full price for the first 12 dozen would give Rs. 21,430.

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