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