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Profit and Loss Symmetry

MAT 2018 · Mathematical Skills · Easy · Arithmetic

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The profit percentage earned by selling a watch for Rs. 820 is as much as the loss percentage incurred when it is sold for Rs. 650. What is the cost price of the watch?

  1. A.

    Rs. 750

  2. B.

    Rs. 690

  3. C.

    Rs. 735

  4. D.

    Rs. 710

Answer

C

Explanation

Since the profit percentage equals the loss percentage, the absolute monetary profit equals the absolute monetary loss. 820−CP=CP−650820 - CP = CP - 650 2CP=820+650=1470  ⟹  CP=Rs. 7352 CP = 820 + 650 = 1470 \implies CP = \text{Rs. } 735

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