Question : If A : B = 3 : 2, B : C = 7 : 5 and C : D = 10 : 3, then what is A : D equal to?
Option 1: 7 : 1
Option 2: 1 : 7
Option 3: 4 : 3
Option 4: 3 : 4
Correct Answer: 7 : 1
Solution :
A : B = 3 : 2, B : C = 7 : 5 and C : D = 10 : 3
So, $\frac{A}{B}×\frac{B}{C}×\frac{C}{D}=\frac{3}{2}×\frac{7}{5}×\frac{10}{3}$
$⇒ \frac{A}{D}=\frac{7}{1}$
$⇒A:D=7:1$
Hence, the correct answer is 7 : 1.
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