A man buys two chairs for a total cost of 900. By selling one for frac{4}{5} of its cost and other f

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7.Profit and Loss

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A man buys two chairs for a total cost of $900.$ By selling one for $\frac{4}{5}$ of its cost and the other for $\frac{5}{4}$ of its cost, he makes a profit of $90$ on the whole transaction. The cost of the lower priced chair is (in $Rs.$)

A

$360$

B

$400$

C

$420$

D

$300$

Solution

Let, the $C.P.$ of chair sold at loss be $₹ x$

$\therefore$ $C.P.$ second chair $=₹(900-x)$

Now, according to the question,

$\frac{900-x}{4}-\frac{x}{5}=90$

$\Rightarrow \frac{4500-5 x-4 x}{20}=90$

$\Rightarrow \quad 4500-9 x=1800$

$\Rightarrow \quad x=\frac{2700}{9}=Rs. 300$

Standard 13

Quantitative Aptitude

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