Multiple choice

A fruit vendor used a faulty balance both while buying fruits from the wholesaler as well as while selling them to the customers. While buying from the wholesaler, he took 10% more by weight, whereas while selling to the customers he gave them 20% less by weight. If he professed to sell fruit at the cost price find his overall profit percent realised.

  1. 30%

  2. 32%

  3. 32.5%

  4. 37.5%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP = 100 per unit. He buys 110 units for 100, so effective cost = 100/110 per unit. He sells 80 units for the price of 100, so effective revenue = 100/80 per unit. Profit = (100/80 - 100/110) / (100/110) = (110/80 - 1) = 30/80 = 37.5%.

AI explanation

Assume the cost price is Rs. 1 per gram and the vendor buys 1000 grams. He pays 1000 * 1 = Rs. 1000 but receives 1100 grams due to the faulty balance. He then sells only 80% of this quantity, which is 880 grams, at the professed cost price of Rs. 1 per gram, collecting 880 * 1 = Rs. 880. To find his overall profit percentage, we must account for his true cost per gram; he spent Rs. 1000 to acquire 1100 grams, so his actual cost for the 880 grams sold is (1000 / 1100) * 880 = Rs. 800. His profit is 880 - 800 = Rs. 80, making his overall profit percentage (80 / 800) * 100 = 37.5%.

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