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If 60% A = $$\frac{3}{4}$$ of B, then A : B is

A. 4 : 5

B. 5 : 4

C. 9 : 20

D. 20 : 9

Answer: Option B

Solution(By Examveda Team)

$$\eqalign{ & {\text{60}}\% \,{\text{of}}\,{\text{A}} = \frac{{\text{3}}}{{\text{4}}}\,{\text{of}}\,{\text{ B}} \cr & \Rightarrow \frac{{60}}{{100}}{\text{A}} = \frac{3}{4}\,{\text{B}} \cr & \Rightarrow \frac{{\text{3}}}{{\text{5}}}{\text{A = }}\frac{{\text{3}}}{{\text{4}}}\,{\text{B}} \cr & \Rightarrow \frac{{\text{A}}}{{\text{B}}}{\text{ = }}\frac{{\text{3}}}{{\text{4}}} \times \frac{{\text{5}}}{{\text{3}}} \cr & \Rightarrow \frac{{\text{A}}}{{\text{B}}} = \frac{5}{4} \cr} $$
⇒ A : B = 5 : 4

This Question Belongs to Arithmetic Ability >> Ratio

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