Question 64

A shopkeeper marks his goods at 25% above the cost price. He sells three-fourth of the goods at the marked price and the remaining at 40% discount on the marked price. His gain/loss percent is:

Solution

Let number of goods = y and Price of each good = Rs. x Total = xy

M.p. = $$\frac{5x}{4}$$

For 3/4th of goods, Sp = $$\frac{3y}{4}$$ * $$\frac{5x}{4}$$ = $$\frac{15xy}{16}$$

For 1/4th of goods, Sp = $$\frac{y}{4}$$* $$\frac{3x}{5}$$*$$\frac{5x}{4}$$ = $$\frac{3xy}{16}$$

Profit = $$\frac{15xy +3xy -16xy}{16}$$ Hence profit percentage= ($$\frac{xy}{8}$$/ (xy) )*100 = 12.5 percent profit

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