A shopkeeper by selling 21 items earns a profit equal to the selling price of 1 item. What is his profit percentage?
Let cost price of an item = $$Rs. x$$
Selling price of an item = $$Rs. y$$
=> Profit of 21 items = $$Rs. 21(y-x)$$
According to ques, => $$21(y - x) = y$$
=> $$21y - 21x = y$$
=> $$20y = 21x$$
=> $$\frac{x}{y} = \frac{20}{21}$$
Let Cost price, $$x = 20$$ and selling price, $$y = 21$$
$$\therefore$$ Profit % = $$\frac{y - x}{x} \times 100$$
= $$\frac{21 - 20}{20} \times 100$$
= $$\frac{100}{20} = 5\%$$
=> Ans - (D)
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