Quantitative Aptitude Ques 2230

Question: If 90% of A = 30% of B and B = 2x% of A, then the value of x is [SSG (CGL) 2011 ]

Options:

A) 450

B) 400

C) 300

D) 150

Show Answer

Answer:

Correct Answer: D

Solution:

  • Given, 90% of A = 30% of B So, $ \frac{A\times 90}{100}=\frac{B\times 30}{100} $
    $ \Rightarrow $ $ \frac{9A}{10}=\frac{3B}{10} $
    $ \Rightarrow $ $ 3A=B $ Now, \ $ B=2x $ % of $ A $
    $ \Rightarrow $ $ B=\frac{2x\times A}{100} $

$ \Rightarrow $ $ 3A=\frac{2x\times A}{100} $ $ [\because 3A=B] $

$ \therefore $ $ x=\frac{3\times 100}{2}=150 $

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