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A seller allows a discount of 5% on a watch. If he allows a discount of 7%, he earns Rs 15 less in the profit. What is the marked price?

(a) Rs 697.50

(b) Rs 712.50

(c) Rs 750

(d) Rs 817.50

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Best answer

Correct option is (c) Rs 750

Let x be the profit that the seller makes on 5% discount.

Then, (x − 15) is the profit that he makes on 7% discount.

(100 − 5)% of M.P − (100 − 7)% of M.P = x − (x − 15) = 15

⇒ 2% of M.P = 15

⇒ M.P = \(15 \times \frac{100}2 = 750\)

∴ Marked Price is Rs.750.

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