Multiple choice

A dealer sells two machines for Rs. 12,000 each. On one, he gains 32% and on the other, he loses 32%. What is his profit/loss percentage on the whole transaction?

  1. No gain and no loss

  2. 1% loss

  3. 18% profit

  4. 10.24% loss
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

When two items are sold at the same price with the same percentage gain and loss, the overall result is always a loss. The formula is (loss%^2) / 100. Here, (32^2) / 100 = 1024 / 100 = 10.24% loss.

AI explanation

When two items are sold at the same selling price with a gain of x% and a loss of x%, the overall result is always a loss calculated by the formula (x squared divided by 100)%. Here, x is 32, so the loss percentage is (32 times 32) divided by 100, which equals 10.24% loss.

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