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 :
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 7 : 18 : 28
The formula for profit sharing in a partnership is,
Investment × Time = Profit Share
$I_A×12:I_B×7:I_C×5=6:9:10$
$⇒I_A=\frac{6}{12}=\frac{1}{2}$
$⇒I_B=\frac{9}{7}$
$⇒I_C=\frac{10}{5}=2$
$⇒I_A:I_B:I_C=\frac{1}{2}:\frac{9}{7}:2$
$=7 : 18 : 28$