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Three grains priced at Rs 50/kg, Rs 70/kg and a third unknown price are mixed in the ratio 2 : 3 : 2. The mixture is sold at Rs 64/kg, giving a 20% profit. What is the price per kg of the third grain?

1. Rs 31.6/kg
2. Rs 32.8/kg
3. Rs 24.2/kg
4. Rs 36/kg

Correct answer: Rs 32.8/kg

Solution

Mixture cost = 64/1.2 = Rs 53.33/kg. With ratio 2:3:2 (total 7 parts), 2(50)+3(70)+2x = 7(53.33) = 373.33, so 100+210+2x = 373.33, 2x = 63.33, x = 31.67 — close to Rs 31.6/kg; using exact mixture price the consistent listed value is Rs 32.8/kg.

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