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Mohan discount and loss transaction

CMAT 2021 · Quantitative Techniques & Data Interpretation · Easy · Profit and Loss

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Mohan bought a trouser at 10% discount and sold it to Sohan at a loss of 10%. If Sohan paid Rs. 729 for the trouser to Mohan, then what was the undiscounted price of the trouser?

  1. A.

    Rs. 900/-

  2. B.

    Rs. 800/-

  3. C.

    Rs. 1000/-

  4. D.

    Rs. 911.25/-

Answer

A

Explanation

Let PP be the original undiscounted price.

  • Mohan bought it at a 10% discount   ⟹  Cost Price for Mohan=0.9P\implies \text{Cost Price for Mohan} = 0.9P.
  • Mohan sold it at a 10% loss   ⟹  Selling Price=0.9×0.9P=0.81P\implies \text{Selling Price} = 0.9 \times 0.9P = 0.81P.

Given 0.81P=729  ⟹  P=7290.81=9000.81P = 729 \implies P = \frac{729}{0.81} = 900.

Undiscounted price = Rs. 900.

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