Multiple choice

Two goods are sold at the same price; one at a loss of 15% and the other at a profit of 15%. Find the overall loss percentage.

  1. 2.25

  2. 3.15

  3. 2.75

  4. 4.35

  5. 5.75
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A Correct answer
Explanation

When two items are sold at the same price with x% profit and x% loss, the overall result is always a loss of (x^2)/100 percent. Here, (15^2)/100 = 225/100 = 2.25%.

AI explanation

When two items are sold at the same price and one is at a loss of x percent while the other is at a profit of x percent, the transaction always results in a net loss. The net loss percentage is calculated using the formula x squared divided by 100. For a common rate of 15 percent, the loss is 15 squared divided by 100. The result is 2.25.

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