Selling

Algebra Level 2

The selling price of 15 items equals the cost of 20 items. What is the percentage profit earned by the seller?

33.3 25 20 15 40

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2 solutions

Chew-Seong Cheong
Sep 27, 2015

Let the selling price be p p and cost be c c . Then, 15 p = 20 c p = 20 15 c = 4 3 c 15p=20c \quad \Rightarrow p =\dfrac{20}{15}c = \dfrac{4}{3}c . Therefore,

Profit = p c c = 4 3 c c c = 1 3 33.3 = \dfrac{p-c}{c} = \dfrac{\frac{4}{3}c - c}{c} = \dfrac{1}{3} \approx \boxed{33.3} %

Mamun Abdullah
Sep 12, 2015

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