RRB ALP 2013 Ques 90

Question: Raghavan purchased a scooter at $ \frac{13}{15} $ of its selling price and sold it at 12% more than its selling price. His gain is:

Options:

A) $ 20% $

B) $ 30% $

C) $ 38\frac{3}{30}% $

D) $ 29\frac{3}{13}% $

Show Answer

Answer:

Correct Answer: D

Solution:

  • Let S.P. of the Scooter be $ Rs.x $

$ \therefore $ C.P. of the Scooter $ =Rs.\frac{13x}{15} $ and S.P. of the Scooter $ =Rs.\frac{112\times x}{100} $

$ \therefore $ Gain $ %=( \frac{12x}{100}-\frac{13x}{15} )\times \frac{100\times 5}{13x}% $ $ =\frac{336x-260x}{300}\times \frac{1500}{13x}%=29\frac{3}{13}% $