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

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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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