Sunil buys 30 kg of rice at ₹42 per kg and 50 kg of another variety at ₹34 per kg and mixes them. At what price per kg (in ₹) must he sell the mixture to gain 25%?

Question

Accepted Answer

46.25. Total cost = 30 × 42 + 50 × 34 = 1260 + 1700 = ₹2960 for 80 kg. For a 25% gain the lot must fetch 2960 × 1.25 = ₹3700, i.e. 3700/80 = ₹46.25 per kg. (Averaging the rates as (42 + 34)/2 = ₹38 ignores the unequal quantities and leads to the trap ₹47.50.)

Sunil buys 30 kg of rice at ₹42 per kg and 50 kg of another variety at ₹34 per kg and mixes them. At what price per kg (in ₹) must he sell the mixture to gain 25%?

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