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7.Profit and Loss
medium
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?
A
$\frac{75}{2}$
B
$\frac{100}{3}$
C
$\frac{200}{9}$
D
$\frac{150}{7}$
Solution
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
