Question : $\frac{1}{2}$ of A = $\frac{2}{5}$ of B = $\frac{1}{3}$ of C, then A : B : C is:
Option 1: 4 : 5 : 6
Option 2: 6 : 4 : 5
Option 3: 4 : 6 : 5
Option 4: 5 : 4 : 6
Correct Answer: 4 : 5 : 6
Solution :
Given: $\frac{1}{2}× A=\frac{2}{5} × B=\frac{1}{3} × C$
⇒ $\frac{1}{2} × A=\frac{2}{5} × B$
⇒ $\frac{A}{B} = \frac{4}{5}$
And, $\frac{2}{5} × B = \frac{1}{3} × C$
⇒ $\frac{B}{C} = \frac{5}{6}$
Taking B as common, the value of B is the same in both cases so that the ratio will be $A : B : C=4:5:6$
Hence, the correct answer is 4 : 5 : 6.
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