Question

The cost price of 10 oranges is equal to the selling price of 9 oranges. Find the profit
per cent.​

Answer 1

$\:\: \underline{\underline{\bf{\large\mathfrak{~~Solution~~}}}}$

let the cost price of 1 orenge is =X

therefore the cost price of 10 orenges is =10x

now the selling price of 9 orenges =10x

therefore the selling price of 10 orenges is

$= \frac{10x}{9} \times 10 \\ = \frac{100x}{9}$

therefore the profit is

$= \frac{100x}{9} - 10x \\ = \frac{10x}{9}$

therefore the profit percentage is

$= \frac{ \frac{10x}{9} }{10x} \times 100 \\ = \frac{100}{9} \: \: percentage$

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Answer 2

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