How many kilograms of wheat costing ₹52 per kg must be mixed with 30 kg of wheat costing ₹40 per kg so that a 20% gain may be obtained by selling the mixture at ₹54 per kg?

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Accepted Answer

1. Find the required cost price per kg for a 20% gain: $	ext{CP} = 54/1.2 = 45$.

2. Let $x$ kg be the wheat at ₹52. Set the average cost equation: $\dfrac{52x + 40	imes30}{x+30} = 45$.

3. Solve: $52x + 1200 = 45x + 1350 \Rightarrow 7x = 150 \Rightarrow x = \dfrac{150}{7} = 21.4286$.

4. So about **21.4 kg**, which is option (b).

FINAL_ANSWER: b

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