Question 74

60% of the cost price of a glass is 25% of its selling price. What is the profit percentage?

Solution

Let's assume theĀ cost price andĀ selling price of each glass is 'cp' and 'sp' respectively.

60% of the cost price of a glass is 25% of its selling price.

60% of cp = 25% of sp

$$\frac{60}{100}\times cp=\frac{25}{100}\times\ sp$$

$$12\times cp=5\times\ sp$$

$$\frac{12}{5}=\frac{sp}{cp}$$

So sp = 12y and cp = 5y

Profit percentageĀ = $$\frac{\left(sp-cp\right)}{cp}\times100$$

= $$\frac{\left(12y-5y\right)}{5y}\times100$$

=Ā $$\frac{7y}{5y}\times100$$

= 140%


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