Multiple choice

A man bought two transistors which cost him $Rs. 720.$ He sold one of them at a loss of $15\%$ and the other at a gain of $19\%.$ If the selling price of both the transistors is same, find the cost price of each.

  1. $Rs. 420; Rs.300$
  2. $Rs. 440; Rs.320$
  3. $Rs. 470; Rs.380$
  4. $Rs. 490; Rs.410$
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A Correct answer
Explanation

Let the cost prices be x and 720-x. The selling prices are 0.85x and 1.19(720-x). Setting them equal: 0.85x = 856.8 - 1.19x, so 2.04x = 856.8, giving x = 420. The other cost is 720 - 420 = 300.

AI explanation

Let the cost prices of the two transistors be x and 720 minus x, where x is the one sold at a loss. Their selling prices are 0.85 times x and 1.19 times 720 minus x. Setting these equal gives 85x equals 119 times 720 minus x, which is the same as 5x equals 7 times 720 minus x, or 12x equals 5040, so x equals 420; therefore, the other is 300.

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