Question 12

On selling 30 caps, a shopkeeper earns profit equal to the selling price of 3 caps. What is the profit percentage?

Solution

Let cost price of a cap = Rs. $$x$$ and selling price = Rs. $$y$$

Profit on selling 30 caps = Rs. $$30(y-x)$$

According to ques,

=> $$30(y-x)=3y$$

=> $$30y-30x=3y$$

=> $$30x=30y-3y=27y$$

=> $$\frac{y}{x}=\frac{30}{27}=\frac{10}{9}$$

Let $$x=9$$ and $$y=10$$

Thus, profit % = $$\frac{(y-x)}{x}\times100$$

= $$\frac{(10-9)}{9}\times100$$

= $$\frac{100}{9}=11.11\%$$

=> Ans - (B)

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