Question

Devender bought some apples at the rate of $Rs5$ pper apple. He also bought an equal number of bamanas at the rate of $Rs2$ per banana. He sold the apples at a profit of $20\%$ and the bananas at a loss of $5\%$,but still made an overall profit of $Rs360$ after selling all the fruits. What is the number of apples he had purchase?

Answer 1

No. of apples $\Rightarrow x$

Cost of $1$ apple $=Rs5$

Total cost of $x$ apple $=Rs5x$

Cost of $1$ banana $=Rs2$

Total cost of $x$ banana $=Rs2x$

He make $20\%$ profit on apple,

profit $=\frac{profit\%}{100}xC.P$ of apples

$=\frac{20}{100}\times 5x=\frac{100}{100}x=x$

He make $5\%$ loss on banana

Loss $=\frac{Loss\%}{100}\times C.P$ of banana

$=\frac{5}{100}\times 2x=\frac{10}{100}x=Rs\frac{x}{10}$

Total Profit $=360$

$x-\frac{x}{10}=360$

$\frac{9x}{10}=360;x=40\times 10$

$=400$

$\to$ He purchased $400$ apples