Question

$A$ sells a box to $B$ at a profit of $15\%$, $B$ sells the same to $C$ for Rs. $1012$ and makes a profit of $10\%$ $A$'s cost price is

• A. Rs. $720$
• B. Rs. $680$
• C. Rs. $880$
• D. Rs. $800$

Answer 1

The correct option is D Rs. $800$

Let $A$'s C.P. $=$ Rs. $x$, Profit $=15\%$
$\therefore$ $A$'s S.P.$=\frac{x\times 115}{100}=$ Rs. $\frac{23x}{25}$
$B$'s C.P. $=$ Rs.$=\frac{23x}{20}$ Profit $=10\%$
$\therefore$ $B$'s S.P. $=\frac{23x}{20}\times \frac{110}{100}=\frac{253x}{250}$
Given, $\frac{253x}{200}=1012$

$\Rightarrow x=\frac{1012\times 200}{253}$ $=$ Rs. $800$