A, B, C shared the profit in the ratio 7 : 6 : 4. They partnered for 8 months, 12 months and 4 months respectively. What was ratio of their investments?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 7 : 4 : 8
$\text{Profit ratio} = 7 : 6 : 4$
$\text{Investment} \times \text{Time} \propto \text{Profit}$
$A : B : C = \frac{7}{8} : \frac{6}{12} : \frac{4}{4}$
$= \frac{7}{8} : \frac{1}{2} : 1$
$= \frac{7}{8} : \frac{4}{8} : \frac{8}{8}$
$= 7 : 4 : 8$
The ratio of their investments is $7 : 4 : 8$.