Quantitative Aptitude Ques 485

Question: A fruit seller buys x guavas for Rs. y and sells y guavas for Rs. x If $ x>y, $ then he made

Options:

A) $ \frac{x^{2},-,y^{2}}{xy} $ % loss

B) $ \frac{x^{2},-,y^{2}}{xy} $ % gain

C) $ \frac{x^{2},-,y^{2}}{y^{2}} $ % loss

D) $ \frac{x^{2},-,y^{2}}{y^{2}} $ % gain

Show Answer

Answer:

Correct Answer: D

Solution:

  • Cost price of 1 guava $ =Rs.\frac{y}{x} $ Selling price of 1 guava $ =\frac{x}{y} $

$ \therefore $ Profit $ =\frac{x}{y}-\frac{y}{x}=\frac{x^{2}-y^{2}}{xy} $ Hence, profit per cent $ =,\frac{xy}{y/x},\times ,100 $ % $ =,\frac{x^{2},-,y^{2}}{y^{2}} $ %

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