| A started with an investment of Rs. 28000. After 2 months, B joins with Rs. 20000 and after another two months C joins with Rs. 18000. At the end of 10th month from start of the business, if B withdraws Rs. 2000 and C withdraws Rs. 2000 what is the respective ratio in which profit should be distributed among A, B and C at the end of the year? |
A) 12: 7: 5
B) 12: 9: 5
C) 12: 6: 3
D) 14: 7: 5
E) 11: 9: 7
Correct Answer: A
Solution :
| Total investment by\[A=28000\times 12\] |
| Total investment by \[B=20000\times 8+18000\times 2\] |
| \[=160000+36000\] |
| \[=196000\] |
| Total investment by \[C=18000\times 6+16000\times 2\] |
| \[=108000+32000=140000\] |
| Respective ratio \[=A:B:C\] |
| \[=336000:196000:140000\] |
| \[=336:196:140\] |
| \[=84:49:35=12:7:5.\] |
| And distribution of profit among partners is same as their investment. |
| \[\therefore \] Profit should be distributed in \[12:7:5.\] |
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