Three partners shared a profit in a business in the ratio of 2 : 3 : 6. They had partnered for 12 months, 9 months and 6 months respectively. The ratio of their investment is :

1 : 2 : 6

The correct answer is Option (1) → 1 : 2 : 6

The formula for profit distribution is,

Profit share = Investment × Time

let the investment of three partner be x, y and z.

$∴x+12:y×9:z×6=2:3:6$

$12x:9y:6z=2:3:6$

$x:y:z=\frac{2}{12}:\frac{3}{9}:\frac{6}{6}$

$=1 : 2 : 6$