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Rashmi offers 30% discount on a book. If she still gains 5% on marked price ₹300, find the cost price of book?

  • A.150
  • B.200
  • C.250
  • D.300

Answer: B

The marked price is 300 rupees and the discount is 30 per cent, so the selling price is

\[ 300 \times 0.70 = 210 \]

She still makes a profit of 5 per cent, which means that the selling price is 105 per cent of the cost price.

\[ \text{CP} = \frac{210}{1.05} = 200 \]

So the cost price is 200 rupees. Taking 5 per cent of the marked price instead would give 195, which is not offered, so the intended reading is a profit on the cost. The answer is 200, option B.

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