Question 82

70% of the cost price of a article is equal to the 40% of its selling price. What is the profit or loss percentage?

Solution

Let cost price of an article = Rs. $$x$$ and selling price = Rs. $$y$$

According to ques, => 70% of $$x$$ = 40% of $$y$$

=> $$\frac{70}{100}x=\frac{40}{100}y$$

=> $$7x=4y$$

=> $$\frac{x}{y}=\frac{4}{7}$$

Let $$x=4$$ and $$y=7$$

$$\because$$ SP > CP, => Profit % = $$\frac{(y-x)}{x}\times100$$

= $$\frac{7-4}{4}\times100$$

= $$3\times25=75\%$$

=> Ans - (C)

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