Question 59

By selling 30 articles, a shopkeeper gains the selling price of 9 articles. His gain percent is:

Solution

Let x be the Cost Price (CP) of each article and y be the Selling Price (SP) of each article.

Given,

By selling 30 articles, a shopkeeper gains the selling price of 9 articles.

So,

30y - 30x = 9y

30x = 21y $$\therefore\ \frac{x}{y}=\frac{21}{30}=\frac{7}{10}$$

So, CP = 7 , SP = 10

Profit (P) % = $$\frac{SP-CP}{CP}\times\ 100$$

= $$\frac{10-7}{7}\times\ 100$$

= $$42\frac{6}{7}\%$$

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