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Explanation
A, B and C enter into a partnership and their shares are in the ratio 1/2 : 1/3 : 1/4.
After 2 months, A withdraws half of his capital.
A : B : C = 1/2 : 1/3 : 1/4 multiplying it with suitable number alters it utterly (A : B : C = 6 : 4 : 3).
For first 2 months and next 10 months; A’s investment will be 12 and 30 respectively (total investment of A = 42)
48 and 36 will be the require investment of B and C for 12 months.
Now, ratio of profit equals ratio of investment (A : B : C = 42 : 48 : 36); total profit is given (378), so required share of B would be;
B’s share in profit = (B’s ratio of investment x total profit)/total ratio
To Find
B’s share in profit = ?
Solution
Given ratio of investment of A, B and C = 1/2 : 1/3 : 1/4
A : B : C = 6 : 4 : 3
After 2 months A withdraws half of its investment;
For first 2 months = 6 x 2 = 12
For next 10 months = 3 x 10 = 30
Total investment of A for 12 months = 12 + 30 = 42
Investment of B for 12 months = 4 x 12 = 48
Investment of C for 12 months = 3 x 12 = 36
A : B : C = 42 : 48 : 36
A ; B : C = 7 : 8 : 6 (7 + 8 + 6 = 21)
B’s share in profit = (8 x 378)/21 = Rs. 144 answer
Conclusion
A, B and C enter into a partnership and their shares are in the ratio 1/2 : 1/3 : 1/4. After 2 months, A withdraws half of his capital and after 10 months, a profit of Rs. 378 is divided among them. The required share of B would be Rs. 144.
