Multiple choice

Sonali buys 2 Pen Drives A and B and their cost price is in the ratio of 5:6 respectively. If she sells them at a 10% profit each, she earns a total profit of Rs. 22. What will be her total profit, if she sells Pen Drive A at a 20% loss and Pen Drive B at a 30% profit?

  1. Rs. 16

  2. Rs. 13

  3. Rs. 14

  4. Rs. 24
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A Correct answer
Explanation

Let CP of A = 5x, B = 6x. Profit = 0.1(5x) + 0.1(6x) = 1.1x = 22, so x = 20. CP of A = 100, B = 120. New profit = -0.2(100) + 0.3(120) = -20 + 36 = 16.

AI explanation

Let the cost prices of Pen Drive A and Pen Drive B be 5x and 6x respectively. Selling both at a 10 percent profit yields a total profit of 10 percent of 11x, which is 1.1x. Setting 1.1x equal to Rs. 22 gives x equal to 20, making the cost prices Rs. 100 for Pen Drive A and Rs. 120 for Pen Drive B. Selling Pen Drive A at a 20 percent loss results in a loss of Rs. 20, and selling Pen Drive B at a 30 percent profit results in a profit of Rs. 36. The net total profit is 36 minus 20, which equals Rs. 16.

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