Three partners A, B and C shared the profit in a business in the ratio 6 : 9 : 10 respectively. If A, B and C invested the money for 12 months, 7 months and 5 months respectively, then the ratio of their investment is :

7 : 18 : 28

The correct answer is Option (1) → 7 : 18 : 28

The formula for profit sharing in a partnership is,

Investment × Time = Profit Share

$I_A×12:I_B×7:I_C×5=6:9:10$

$⇒I_A=\frac{6}{12}=\frac{1}{2}$

$⇒I_B=\frac{9}{7}$

$⇒I_C=\frac{10}{5}=2$

$⇒I_A:I_B:I_C=\frac{1}{2}:\frac{9}{7}:2$

$=7 : 18 : 28$