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1. The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:

A. 15

B. 16

C. 18

D. 25

Solution:

Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x
S.P. of x articles = Rs. 20
Profit = Rs. (20 - x)

\begin{aligned} ∴ \frac{20 - x}{x} \times 100 = 25 \\ \Rightarrow 2000 - 100 x = 25 x \\ 125 x = 2000 \\ \Rightarrow x = 16 \end{aligned}

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