Multiple choice

A man purchases two chairs at Rs. 1161. He sells one at 20% profit and the other at 25% loss. Then he neither gains nor loses. What the cost price of each chair?

  1. Rs. 513, Rs. 788

  2. Rs. 645, Rs. 416

  3. Rs. 745, Rs. 516

  4. Rs. 645, Rs. 516

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

Let chair costs be x and y, with x + y = 1161. One sold at 20% profit: 1.2x. Other sold at 25% loss: 0.75y. No gain/loss means: 1.2x + 0.75y = 1161. Solving: 1.2x + 0.75(1161-x) = 1161 gives 0.45x = 290.25, so x = 645. Then y = 1161 - 645 = 516. Option A (513, 788) doesn't satisfy the equations. Option B (645, 416) gives incorrect sum. Option C (745, 516) gives incorrect sum. Option E is incorrect.

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