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A vendor prepares 50 liters of a mixture by combining two liquids X and Y in the ratio 3:2. If the cost of X is Rs. 60 per liter and Y is Rs. 40 per liter, what is the average cost per liter of the final solution?

1. Rs. 48
2. Rs. 50
3. Rs. 52
4. Rs. 54

Correct answer: Rs. 52

Solution

The mixture is in the ratio 3:2, so the average cost per liter is the weighted mean of the two prices. Compute \((3\times 60 + 2\times 40)/5 = (180+80)/5 = 260/5 = 52\).

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