A retailer sold three products X, Y, and Z with selling prices in the ratio 3:5:7. He incurred a 12% loss on X, a 40% profit on Y, and broke even on Z. What was his overall profit or loss percentage?

Question

Accepted Answer

Profit of 7.29%. Let selling prices be $3x, 5x, 7x$. Then CPs are $\frac{3x}{0.88}$, $\frac{5x}{1.4}$, and $7x$. Adding them gives total CP less than total SP, so there is an overall profit. The net profit percentage works out to about 7.29%.

A retailer sold three products X, Y, and Z with selling prices in the ratio 3:5:7. He incurred a 12% loss on X, a 40% profit on Y, and broke even on Z. What was his overall profit or loss percentage?

Solution

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