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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 ?

a) Rs. 1125, Rs. 1825, Rs. 2250
b) Rs. 1125, Rs. 1800, Rs. 2200
c) Rs. 1125, Rs. 1875, Rs. 2250
d) Rs. 1175, Rs. 1256, Rs. 2350

Answer: 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
$$\eqalign{ & \left( {3 + 5 + 6} \right){\text{units}} = {\text{Rs}}{\text{. 5250}} \cr & {\text{14 units}} = {\text{Rs}}{\text{. 5250}} \cr & {\text{1 unit}} = {\text{Rs}}{\text{. 375}} \cr & {\text{Share of A}} = 375 \times 3 \cr & = {\text{Rs}}{\text{. 1125}} \cr & {\text{Share of B}} = 375 \times 5 \cr & = {\text{Rs}}{\text{. 1875}} \cr & {\text{Share of C}} = 375 \times 6 \cr & = {\text{Rs}}{\text{. 2250}} \cr} $$

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