Question 52
By selling 33 metres of cloth, a shopkeeper gains the price of 11 metres of cloth. His gain percent is
Solution
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,
=> $$33(y-x)=11y$$
=> $$3y-3x=y$$
=> $$2y=3x$$
=> $$\frac{x}{y}=\frac{2}{3}$$
Let $$x=2$$ and $$y=3$$
$$\therefore$$ Profit % = $$\frac{(y-x)}{x}\times100$$
= $$\frac{(3-2)}{2}\times100=50\%$$
=> Ans - (B)
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