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

The Correct Option is B

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 \(\%\) = \(\frac{y-x}{x}\times100\)
\(=\frac{3-2}{2}\times100\)
\(=50\%\)