Question 64

The selling price of a desktop is 9 times of the profit earned on selling this desktop. What is the profit percentage?

Solution

Let's assume the selling price and cost price of each desktop is 'SP' and 'CP' respectively.

The selling price of a desktop is 9 times of the profit earned on selling this desktop.

SP = 9(SP-CP)

SP = 9SP-9CP

9CP = 9SP-SP

9CP = 8SP

$$\frac{CP}{SP}=\frac{8}{9}$$

Profit percentage = $$\frac{\left(SP-CP\right)}{CP}\times\ 100$$

= $$\frac{\left(9-8\right)}{8}\times\ 100$$

= $$\frac{1}{8}\times100$$

= 12.5%

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