Question : If 91% of A is 39% of B, and B is x% of A, then the value of x is:
Option 1: $\frac{200}{3}$
Option 2: $\frac{700}{3}$
Option 3: $\frac{400}{3}$
Option 4: $\frac{500}{3}$
Correct Answer: $\frac{700}{3}$
Solution :
Given:
91% of A is 39% of B
Now,
$\Rightarrow \frac{91}{100}\times A = \frac{39}{100}\times B$
$\Rightarrow \frac{A}{B} = \frac{3}{7}$
According to the question,
$\Rightarrow \frac{Ax}{100} = B$
$\Rightarrow \frac{B}{A}\times 100 = x$
$\Rightarrow x =\frac{7}{3}\times 100$
$\therefore x = \frac{700}{3}$
Hence, the correct answer is $\frac{700}{3}$.
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