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Cost Price of Two Watches

CMAT 2026 · Quantitative Techniques & Data Interpretation · Medium · Profit and Loss

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A person buys two watches for a total sum of Rs. 1,000. He sells one watch at a loss of 5% and the other at a gain of 20% and on the whole, he gains Rs. 50. The cost prices of the two watches are:

  1. A.

    Rs. 700, Rs. 300

  2. B.

    Rs. 500, Rs. 500

  3. C.

    Rs. 600, Rs. 400

  4. D.

    Rs. 450, Rs. 550

Answer

C

Explanation

Let CPs be xx and yy. x+y=1000x + y = 1000. −0.05x+0.20y=50  ⟹  −x+4y=1000-0.05x + 0.20y = 50 \implies -x + 4y = 1000. Adding both equations: 5y=2000  ⟹  y=4005y = 2000 \implies y = 400, x=600x = 600. Cost prices are Rs. 600 and Rs. 400.

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