A cloth merchant on selling 33 meters of cloth obtains a profit equal to the selling price of 11 meters of cloth the profit is = ?

Solution(By Examveda Team)

Let the selling price of 1 meter cloth = Rs. 1
The Selling price of 33 meters cloth
= 1 × 33 = Rs. 33
Cost of 1 meter cloth = Rs. x
Cost price 33 meters cloth = x × 33 = Rs. 33x
According to the question,
Profit = Selling price - Cost price
$$\eqalign{ & \Rightarrow 11 = 33 - 33x \cr & \Rightarrow 33x = 22 \cr & \Rightarrow x = \frac{{22}}{{33}} = \frac{2}{3} \cr} $$
Cost price of 1 meter cloth $$ = {\text{Rs}}{\text{.}}\frac{2}{3}$$
Cost price of 33 meters cloth
$$\eqalign{ & = \frac{2}{3} \times 33 \cr & = {\text{Rs}}.22 \cr} $$
Selling price of 33 meters cloth = Rs. 33
Profit = Selling price - Cost price
= 33 - 22 = 11
$$\eqalign{ & {\text{Profit}}\% \cr & = \frac{{11}}{{22}} \times 100 \cr & = 50\% \cr} $$