Three partner A, B and C started a business by investing Rs. 48000 each. After 6 months A left the business after 10 months B left the business and after 12 months C left the business. If total earned profit is Rs. 5250, then find the share of A, B and C ?

Explanation:-

	A	:	B	:	C
Capital →	48000	:	48000	:	48000
Time(year) →	6		10		12
Profit →	6	:	10	:	12
	3	:	5	:	6

Note: The capital of the partners are equal so the profit would be divided in the ratio of their time
According to the question,
$$\eqalign{ & \left( {3 + 5 + 6} \right){\text{units}} = {\text{Rs}}{\text{. 5250}} \cr & {\text{14 units}} = {\text{Rs}}{\text{. 5250}} \cr & {\text{1 unit}} = {\text{Rs}}{\text{. 375}} \cr & \therefore {\text{Share of A}} \cr & = 375 \times 3 \cr & = {\text{Rs}}{\text{. 1125}} \cr & {\text{Share of B}} \cr & = 375 \times 5 \cr & = {\text{Rs}}{\text{. 1875}} \cr & {\text{Share of C}} \cr & = 375 \times 6 \cr & = {\text{Rs}}{\text{. 2250}} \cr}$$