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Prasanth bought a car and paid 10 % less than the original price. He sold it with 30% profit on the price he had paid. What percentage of profit did he earn on the original price?

17%
16%
18%
14%
Explanation:

Let the original price = 100

Then the price at which he purchased (CP)= 90% of 100 = 90

Profit = 30%

SP = $\dfrac{\left(100 + Profit\%\right)}{100} \times CP$ =$ \dfrac{\left(100 + 30\right)}{100} \times 90$

= $\dfrac{130}{100} \times 90 $ = $13\times 9$ = 117

Required% = $\dfrac{\left(117-100\right)}{100} \times 100$ = 17%

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