Question 54

The cost price of 25 books is equal to the selling price of 20 books. The profit percent is

Solution

Let C.P. of 1 book = $$Rs.$$ $$x$$ and S.P. = $$Rs.$$ $$y$$

=> C.P. of 25 books = S.P. of 20 books

=> $$25x=20y$$

=> $$5x=4y$$

=> $$\frac{y}{x}=\frac{5}{4}$$

Let $$y=5$$ and $$x=4$$

$$\therefore$$ Profit % = $$\frac{y-x}{x} \times 100$$

= $$\frac{5-4}{4} \times 100$$

= $$\frac{100}{4}=25\%$$

=> Ans - (D)

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