Multiple choice

A person has bought two items P and Q. The purchase price of P was 75% of that of Q. He has sold P at a loss of 5% and Q at a profit of 15% and hence gets a total of Rs. 745 as the selling price of P and Q. Find the cost price of Q?

  1. 300

  2. 360

  3. 400

  4. 480

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Q's cost price = x. Then P's cost = 0.75x. P sold at 5% loss: 0.95 × 0.75x = 0.7125x. Q sold at 15% profit: 1.15x. Total SP = 0.7125x + 1.15x = 1.8625x = 745. Solving: x = 745/1.8625 = 400.

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