A, B and C enter into a partnership, investing Rs. 6000. A invests Rs. 1000 and B and C in invests in the ratio of 2 : 3. Find the profit of C, when the annual profit is Rs. 2400 ?

$$\eqalign{ & {\text{investment of A}} = 1000 \cr & {\text{So, investment of B}} + {\text{C}} \cr & = {\text{6000}} - 1000 \cr & = 5000 \cr & {\text{B}}:{\text{C}} = 5000 \cr & 2:3 = 2000:3000 \cr} $$
So,

A	:	B	:	C
1000	:	2000	:	3000
1	:	2	:	3 = 6

$$\eqalign{ & \therefore {\text{Profit of C}} = \frac{3}{6} \times 2400 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 1200 \cr} $$