A, B and C enter into a partnership. A invests some money at the beginning, B invests double the amount after six months and C invest thrice the amount after eight months. If the annual profit be Rs. 27000; C's share (in Rs.) is ?

Explanation:-

Let the money invested by A, B and C be Rs. x, Rs. 2x and Rs. 3x respectively
Then, A : B : C
$$\eqalign{ & = \left( {x \times 12} \right):\left( {2x \times 6} \right):\left( {3x \times 4} \right) \cr & = 12x:12x:12x \cr & = 1:1:1 \cr & \therefore {\text{C's share}} \cr & = {\text{Rs}}{\text{.}}\left( {27000 \times \frac{1}{3}} \right) \cr & = {\text{Rs. }}{\text{9000}} \cr}$$