Multiple choice

Arjun sold a book at a loss of 20%. If Arjun had sold that book for Rs. 12 more, he would have gained 10%. What was the cost price of the book that Arjun sold?

  1. Rs. 40

  2. Rs. 50

  3. Rs. 60

  4. Rs. 70

  5. Rs. 80
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A Correct answer
Explanation

Let CP = x. Loss 20% means SP = 0.8x. Gain 10% means SP = 1.1x. Difference = 0.3x = 12. x = 12 / 0.3 = 40.

AI explanation

The difference between a 20 percent loss and a 10 percent gain is 30 percent of the cost price, which is given as Rs. 12. Using the formula for cost price when the difference in selling prices is known, CP = Difference / Difference in percentage. The cost price calculates to 12 / 0.30, which equals Rs. 40.

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