Question

Sheela purchases two varieties of apples - A and B - for a total of Rupees 2800. The weights in kg of A and B purchased by Sheela are in the ratio $5 : 8$ but the cost per kg of A is $20\%$ more than that of B. Sheela sells A and B with profits of $15\%$ and $10\%$ respectively.

What is the overall profit in Rupees?

Accepted Answer

A. Let weights be $5x$ and $8x$. Let cost per kg of B be $y$, so for A it is $1.2y$. Total Cost = $(5x)(1.2y) + (8x)(y) = 6xy + 8xy = 14xy = 2800 \implies xy = 200$. Cost of A = $6xy = 1200$, Profit on A = $15\% 	imes 1200 = 180$. Cost of B = $8xy = 1600$, Profit on B = $10\% 	imes 1600 = 160$. Total Profit = $180 + 160 = 340$.

Profit on Apples

Explanation

Practise this under exam conditions