Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-50

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

A) 450

B) 400

C) 300

D) 150

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

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

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