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Question

By selling a scooter for Rs.$$9,200$$, a man gains $$15\%$$. Find the cost price of the scooter.


Solution

Selling price of scooter, S.P.$$=Rs. 9200$$
Percentage Profit $$=15$$%

Let cost price is $$x$$
then Profit $$=S.P.-C.P.=9200-x$$

Now, Profit %$$=\dfrac{Profit}{C.P.}\times 100$$

$$15=\dfrac{9200-x}{x}\times 100$$

$$3=\dfrac{9200-x}{x}\times 20$$

$$3x=184000-20x$$

$$23x=184000$$

$$x=Rs. 8000$$

Mathematics

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