Multiple choice

Two bicycles were sold for Rs. 3990 each, gaining 5% on one and losing 5% on the other. The gain or loss percent on the whole transaction is ?

  1. Neither gain nor loss

  2. 2.5% gain

  3. 2.5% loss

  4. 0.25% loss
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

When two items are sold at the same price with equal percentage gain and loss, the overall result is always a loss of (x^2 / 100)%. Here, x = 5, so loss = (5^2 / 100)% = 25 / 100 = 0.25%.

AI explanation

When two items are sold at the same price resulting in a profit of x% on one and a loss of x% on the other, the net result is always a loss given by the common loss formula: Loss Percentage = (x^2 / 100)%. Substituting x = 5 into the formula, we calculate the overall loss percentage as (5^2 / 100) = 25 / 100 = 0.25% loss.

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