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7.Profit and Loss
medium
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