Question

By selling 33 metres of cloth, a shopkeeper gains the price of 11 metres of cloth. His gain percent is

• A. 7$\%$
• B. 50$\%$
• C. 20$\%$
• D. 22$\%$

Answer 1

Answer: (B)

50$\%$

Answer 2

The correct option is (B): 50$\%$
Explanation:

Let CP of 1 m of cloth = Rs. $x$ and SP = Rs. $y$
Profit on selling 1 m cloth = Rs. (y - x)

According to ques,
⇒ 33($y$ - $x$) = 11$y$
⇒ З$y$ - 3$x$ =$y$
⇒$2y=3x$

⇒$\frac{x}{y}=\frac{2}{3}$

Let $x$ = 2 and $y$ = 3

$\therefore$ Profit $\%$ = $\frac{y-x}{x}\times100$
$=\frac{3-2}{2}\times100$
$=50\%$