Multiple choice

I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?

  1. Rs.28

  2. Rs.140

  3. Rs.70

  4. Rs.280
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP1 and CP2 be costs. CP1 + CP2 = 480. SP1 = 0.85*CP1, SP2 = 1.19*CP2. 0.85*CP1 = 1.19*CP2 => CP1 = 1.4*CP2. 1.4*CP2 + CP2 = 480 => 2.4*CP2 = 480 => CP2 = 200. CP1 = 480 - 200 = 280.

AI explanation

Let the cost prices of the two books be x and (480 minus x), and since their selling prices are equal, the equation is 0.85x equals 1.19(480 minus x). Multiplying by 100 gives 85x equals 57120 minus 119x, so combining terms results in 204x equals 57120. Solving this equation yields x equals 280, meaning the cost of the book sold at a loss is Rs. 280.

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