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If 91% of A is 39% of B, and B is x% of A, then the value of x is:

A. $$\frac{{500}}{3}$$

B. $$\frac{{400}}{3}$$

C. $$\frac{{700}}{3}$$

D. $$\frac{{200}}{3}$$

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & 91\% {\text{ of }}A = 39\% {\text{ of }}B \cr & \frac{{91}}{{100}} \times A = \frac{{39}}{{100}} \times B \cr & B = \frac{{91}}{{39}}A \cr & B = x\% {\text{ of }}A \cr & \frac{{91}}{{39}} \times A = \frac{x}{{100}} \times A \cr & x = \frac{{91}}{{39}} \times 100 = \frac{{700}}{3} \cr} $$

This Question Belongs to Arithmetic Ability >> Percentage

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