Quantitative Aptitude Ques 1797

Question: If Rs. 510 is divided among A, B, C in such a way that A gets 2/3 of what B gets and B gets $ \frac{1}{4} $ of what C gets, then their shares are respectively

Options:

A) Rs. 126, Rs. 240, Rs. 150

B) Rs. 60, Rs. 90, Rs. 360

C) Rs. 150, Rs. 300, Rs. 60

D) None of the above

Show Answer

Answer:

Correct Answer: B

Solution:

  • Let the share of C = x Then, share of $ B=\frac{1}{4}x $ Share of A $ =\frac{2}{3}\times \frac{1}{4}x=\frac{1}{6}x $ Now, $ x+\frac{1}{4}x+\frac{1}{6}x=510 $

$ \Rightarrow $ $ 12x+3x+2x=510\times 12 $

$ \Rightarrow $ $ 17x=510\times 12 $
$ \Rightarrow $ $ x\frac{x}{200}=1 $

$ \Rightarrow $ $ x=Rs.360 $ B’s share $ =\frac{1}{4}\times 360=Rs.90 $ A’s share $ =\frac{1}{6}\times 360=Rs.60 $

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