Exams › SSC CGL (Prelims) › General

A trader mixes two qualities of coffee. The first quality costs ₹240 per kg and is mixed with the second quality in the ratio 5:7. If the mixture is sold at ₹200 per kg (at no profit, no loss), what is the cost per kg of the second quality of coffee (to the nearest integer)?

1. ₹ 168
2. ₹ 171
3. ₹ 175
4. ₹ 180

Correct answer: ₹ 171

Solution

In a no-profit-no-loss mixture, the selling price equals the cost price of the mixture, so the weighted average cost is ₹200 per kg. Using alligation with prices ₹240 and x in the ratio 5:7, we get \((240-200):(200-x)=7:5\). Solving gives \(40:(200-x)=7:5\), so \(200-x=200/7\approx 28.57\), hence \(x\approx 171.43\), nearest integer ₹171.

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