Question 53

Cost price of 28 articles is equal to Sale price of 21 articles, then percentage of profit is

Solution

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

=> C.P. of 28 articles = S.P. of 21 articles

=> $$28x=21y$$

=> $$4x=3y$$

=> $$\frac{y}{x}=\frac{4}{3}$$

Let $$y=4$$ and $$x=3$$

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

= $$\frac{4-3}{3} \times 100$$

= $$\frac{100}{3}=33\frac{1}{3}\%$$

=> Ans - (B)

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