A sells an article to B for Rs., 45,000 losing 10 % in transaction. B sells it to C at a price which

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7.Profit and Loss

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A sells an article to $B$ for $Rs.\, 45,000$ losing $10 \%$ in the transaction. $B$ sells it to $C$ at a price which would have given a profit of $10 \%$ to $A$. By what per cent does $B$ gain?

$\frac{75}{2}$

$\frac{100}{3}$

$\frac{200}{9}$

$\frac{150}{7}$

Let, the cost price be $₹ x$

Price after $10 \%$ loss $=₹ \frac{90 x}{100}$

Now, according to the question,

$\frac{90 x}{100}=45000$

$\therefore \quad x=₹ 50000$

$C.P.$ given by $C =$ Given a profit of $10 \%$ to $A=\frac{110}{100} \times 50000=₹ 55000$

$\therefore B$ bought it in $₹ 45000$ and sold it in $₹ 55000$

$\therefore$ Required profit $=\frac{55000-45000}{45000} \times 100 \%$

$=\frac{200}{9} \%$

Standard 13

Quantitative Aptitude

hard

medium

easy

medium

hard