Question 65

By selling 50 metres of cloth, a person gains the cost price of 20 metres of cloth. What is his gain percent?

Solution

Let cost price of 1 m cloth = Rs. $$x$$ and selling price of 1 m cloth = Rs. $$y$$

=> Profit by selling 50 m cloth = Rs. $$50(y-x)$$

According to ques,

=> $$50(y-x)=20x$$

=> $$5y-5x=2x$$

=> $$5y=2x+5x=7x$$

=> $$\frac{x}{y}=\frac{5}{7}$$

Let $$x=5$$ and $$y=7$$

$$\therefore$$ Gain percent = $$\frac{(y-x)}{x}\times100$$

= $$\frac{(7-5)}{5}\times100$$

= $$2\times20=40\%$$

=> Ans - (A)

Share on Whatsapp Share on Whatsapp

Create a FREE account and get: