Multiple choice

A man sold two watches for Rs. 3750 each. On one, he gained 5% while on the other, he lost 5%. What was his total gain or loss as a percentage?

  1. 0.25% Loss

  2. 2.5% Loss

  3. 25% Gain

  4. 12.5% Gain
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A 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 calculated by (x^2)/100. Here, (5^2)/100 = 25/100 = 0.25% loss.

AI explanation

When two items are sold at the same price and one has a gain of x% while the other has a loss of x%, the net result is always a loss. Using the equal gain and loss formula, the loss percent is (x^2 / 100). Here x is 5, so the calculation is (5^2 / 100), which equals 25 / 100. The total result is a 0.25% loss.

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