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