Multiple choice

A trader sells two computers at the same price, making a profit of 30% on one and a loss of 30% on the other. What is the net loss or profit percentage on the transaction?

  1. 6% loss

  2. 6% gain

  3. 9% loss

  4. 9% gain
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

When two items are sold at the same price with the same percentage profit and loss, the net result is always a loss calculated by (x^2)/100. Here, (30^2)/100 = 900/100 = 9% loss.

AI explanation

When two items are sold at the same selling price with a profit of p% on one and a loss of p% on the other, the net result is always a loss calculated by the formula: net loss percentage = (p^2 / 100)%. Applying the given profit and loss percentages of 30% to the formula, we get (30 * 30) / 100 = 9. Therefore, the transaction results in a 9% loss.

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