If A : B = $$\frac{1}{2}$$ : $$\frac{3}{8},$$ B : C = $$\frac{1}{3}$$ : $$\frac{5}{9}$$ and C : D = $$\frac{5}{6}$$ : $$\frac{3}{4},$$ then the ratio A : B : C : D is
a) 4 : 6 : 8 : 10
b) 8 : 6 : 10 : 9
c) 6 : 8 : 9 : 10
d) 6 : 4 : 8 : 10
Answer: b
Explanation:
$$\eqalign{
& {\text{A}}:{\text{B}} = \frac{1}{2}:\frac{3}{8} = 4:3, \cr
& {\text{B}}:{\text{C}} = \frac{1}{3}:\frac{5}{9} = 3:5, \cr
& {\text{C}}:{\text{D}} = \frac{5}{6}:\frac{3}{4} = 10:9 \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 5:\frac{9}{2}. \cr
& {\text{A}}:{\text{B}}:{\text{C}}:{\text{D}} \cr
& = 4:3:5:\frac{9}{2} \cr
& = 8:6:10:9 \cr} $$
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