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 \[A\]\[\Rightarrow \]\[B=\frac{2x\times A}{100}\] |
\[\Rightarrow \] \[3A=\frac{2x\times A}{100}\] \[[\because 3A=B]\] |
\[\therefore \] \[x=\frac{3\times 100}{2}=150\] |
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