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If the selling price of a cooler is ₹ 11,200 and profit is 12 percent, then the purchase price of the cooler is

  • A.₹ 9,000
  • B.₹ 9,500
  • C.₹ 9,600
  • D.₹ 10,000

Answer: D

The purchase price is ₹ 10,000.

A profit of 12 per cent means the selling price is 112 per cent of the cost price:

\[ \begin{aligned} \text{CP} &= \frac{11200 \times 100}{112} \\ &= 10000 \end{aligned} \]

Check: 12 per cent of 10,000 is 1,200, and 10,000 + 1,200 = 11,200. The trap is to take 12 per cent of the selling price instead of the cost price; 9,000, 9,500 and 9,600 all give profits that are not 12 per cent of their own cost.

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