Question
A shopkeeper sells two articles. On one he gains 30% and
on the other he loses 20%. The overall profit on both articles together is 10%. Find the ratio of the cost prices of the two articles.Solution
Let CP₁ = x and CP₂ = y. Profit on first = 30% of x = 0.3x Loss on second = 20% of y = 0.2y Net profit = 10% of total cost price = 0.10(x + y) So: 0.3x − 0.2y = 0.10(x + y) 0.3x − 0.2y = 0.1x + 0.1y 0.3x − 0.1x = 0.2y + 0.1y 0.2x = 0.3y x / y = 0.3 / 0.2 = 3/2 Answer: Ratio of cost prices (first : second) = 3 : 2.
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