Multiple choice

Some fruits are bought at a rate of 11 for Rs 100 and equal number at a rate of 9 for Rs 100. All the fruits are sold at a rate of 10 for Rs 100, then what is the gain or loss percent in the entire transaction?

  1. 5% loss

  2. 5% gain

  3. 1% gain

  4. 1% loss
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

For equal quantities n bought at 11/100 and 9/100, average cost = 2n/((n×11/100)+(n×9/100)) = 200n/20n = 10 per 100. Sold at 10/100 means CP = SP. But careful: CP per fruit = (100/11 + 100/9)/2 = 100×20/198 = 1000/99 ≈ 10.10. SP = 10. Loss = 0.10/10.10 × 100 ≈ 1%. The transaction results in approximately 1% loss.

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