Multiple choice

A shopkeeper bought three varieties of apples: one costing Rs. 147 per kg, second costing Rs. 150 per kg and third costing Rs. 153 per kg and he mixed these apples in the ratio (in term of weight) 17 : 19 : 21 respectively. If he sold all the apples at Rs. 151 per kg, then what is his overall profit/ loss?

  1. 0.45% profit

  2. 0.45% loss

  3. 0.525% profit

  4. No profit, no loss

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Weighted average cost price = (147*17 + 150*19 + 153*21) / (17+19+21) = (2499 + 2850 + 3213) / 57 = 8562 / 57 = 150.21 approx. Selling price is 151. Profit = 151 - 150.21 = 0.79. Profit percentage = (0.79 / 150.21) * 100 which is approximately 0.525%.

AI explanation

Using the given ratio 17:19:21, calculate the total cost for 57 kg of the mixture as (17 * 147) + (19 * 150) + (21 * 153), equaling 8568. The selling price for 57 kg at Rs. 151 per kg is 57 * 151, equaling 8607, creating a profit of Rs. 39. The overall profit percentage is calculated as (39 / 8568) * 100, which is 0.525% profit.

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