Multiple choice

Atul sold two sacks of rice for Rs. 19,200 each. On one sack, he gained 20%, while on the other, he incurred a loss of 20%. Find the overall percentage of gain or loss in the entire transaction.

  1. 7% profit

  2. 8% profit

  3. 5% loss

  4. 4% loss

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

When two items are sold at the same price, one at x% profit and one at x% loss, the overall result is always a loss of (x/10)^2 percent. Here x = 20, so loss = (20/10)^2 = 2^2 = 4% loss.

AI explanation

When two items are sold at the same selling price with a gain of x% and a loss of x%, the net result is always a loss. Using the net loss percentage formula, Loss = (x/10)^2 = (20/10)^2 = 4%. Therefore, the overall transaction results in a 4% loss.