A man buys a table and a chair for Rs., 500. He sells table at a loss of 10 % and chair at a gain of

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7.Profit and Loss

medium

A man buys a table and a chair for $Rs.\, 500.$ He sells the table at a loss of $10 \%$ and the chair at a gain of $10 \% .$ He still gains $Rs.\, 10$ on the whole. The cost price of chair in rupees is

A

$200$

B

$250$

C

$300$

D

$350$

Solution

Let the price of Table be $T$

Let the price chair be $C$

$T + C =500$ … $(I)$

$C \times 10 \%- T \times 10 \%=10$

$C \times \frac{1}{10}-T \times \frac{1}{10}=10$

$C-T=100$ $…(II)$

Solving $(I)$ and $(II)$ we get $C=300$ and $T=200$

Standard 13

Quantitative Aptitude

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