Multiple choice

A shopkeeper bought two radios for Rs. 1008. He sold one at a loss of 20\% and the other at a profit of 44\%. If he sold both radios at the same price, then find the cost price of the radio which was sold at a loss.

  1. 648

  2. 360

  3. 368

  4. 640

  5. 540
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A Correct answer
Explanation

Let cost prices be x and y. x + y = 1008. Sold at same price: x(1 - 0.20) = y(1 + 0.44), so 0.8x = 1.44y, meaning x = 1.8y. Substituting: 1.8y + y = 1008, so 2.8y = 1008, y = 360. Thus x = 1008 - 360 = 648. The radio sold at loss (20%) had cost price Rs. 648.

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