| A and B started a business by investing Rs. 18000 and Rs. 24000, respectively. At the end of 4th month from the start of the business, C joins with Rs. 15000. At the end of 8th month B quits at which time C invests Rs. 3000 more. At the end of 10th month B rejoins with the same investment. If profit at the end of the year is Rs. 12005, what is B's share of profit? [LIC (AAO) 2014] |
A) Rs. 4000
B) Rs. 4440
C) Rs. 4360
D) Rs. 4900
E) Rs. 3920
Correct Answer: B
Solution :
| Profit ratio of A, B and C = Investment by them \[\times \]Time period |
| \[\Rightarrow \] Profit ratio of A, B and C |
| \[=18000\times 12:24000\times 8+24000\times 2\] |
| \[:15000\times 8+18000\times 4\] |
| \[=(18\times 12):(24\times 10):(15\times 8+18\times 4)\] |
| \[=\,\,216:240:192=9:10:8\] [divided by 24] |
| \[\therefore \] B's share of profit \[=\,\,\frac{10}{(9+10+8)}\times 12005\] |
| \[=\,\,\frac{120050}{27}=4446.29\approx Rs.\,4440\] |
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