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

6.67 %

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14 %

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15 %

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17 %

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Solution

The correct option is D $17 %$
Let actual cost of car was $100$
SP for Prashant $= 100 - 10 %$ of $100 = 100 - \frac{10}{100} \times 100 = 90$
SP for Vartika $= 90 + 30 %$ of $90 = 90 + \frac{30}{100} \times 90 = 90 + 27 = 117$
Gain $= 117 - 90 = 27$
Gain $%$ on actual cost price $= \frac{17}{100} \times 100 = 17 %$ .

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

The correct option is D 17%Let actual cost of car was 100SP for Prashant =100−10% of 100=100−10100×100=90SP for Vartika =90+30% of 90=90+30100×90=90+27=117Gain =117−90=27Gain % on actual cost price =17100×100=17%.

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