A, B and C enter into a partnership They invest Rs 40000, Rs 80000 and Rs 120000 respectively. At the end of the first year B withdraws Rs 40000 while at the end of the second year C withdraws Rs 80000. In what ratio will the profit be shared at the end of 3 years?

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None of these

3 : 4 : 7

2 : 3 : 5

4 : 5 : 9

answer is B.

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Detailed Solution

Given that A, B and C invested Rs.40000, Rs.80000 and Rs.120000 respectively. At the end of the first year B withdraws Rs 40000 while at the end of the second year C withdraws Rs 80000.

A : B : C = (40000 \times 36) : (80000 \times 12 + 40000 \times 24) : (120000 \times 24 + 40000 \times 12)

\Rightarrow A : B : C = 1440000 : 1920000 : 3360000

\Rightarrow A : B : C = 144 : 192 : 336

\Rightarrow A : B : C = 12 : 16 : 28

\Rightarrow A : B : C = 3 : 4 : 7

Thus, the ratio of the profit shared after 3 years will be

3 : 4 : 7

.
Therefore, the correct option is 2.

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