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Explanation
A and B entered a partnership investing Rs. 16000 and Rs. 12000 respectively.
- A withdraw Rs. 5000, after 3 months.
- B invested Rs. 5000 more, after 3 months.
- C joins the business with a capital Rs. 21000, after 3 more months.
First, we’ll calculate A and B’s investment for first 3 months (16000 x 3 = 48000 and 12000 x 3 = 36000).
After months; A withdraws 5000 (16000 – 5000 = 11000) and B invests 5000 more (12000 + 5000 = 17000). Now investment of A and B for rest of the year (11000 x 9 = 99000 and 17000 x 9 = 153000).
So, total investment of A and B for 12 months (48000 + 99000 = 147000 and 36000 + 153000 = 189000).
After 6 months, C joins with capital of 21000 (21000 x 6 = 126000)
As, the ratio of profit equals the ratio of investment (A : B : C = 147000 : 189000 : 126000 and it would be reduced in its lowest form).
- B’s share in profit = (B’s ratio of investment x total profit)/total ratio
- C’s share in profit = (C’s ratio of investment x total profit)/total ratio
- Share of B exceeds that of C = B’s share in profit – C’s share in profit
To Find
Share of B exceeds that of C = ?
Solution
Investment of A for first 3 months = 16000 x 3 = 48000
Investment of B for first 3 months = 12000 x 3 = 36000
A withdraws 5000 after 3 months = 16000 – 5000 = 11000
Investment of A for next 9 months = 11000 x 9 = 99000
- Total investment of A for 12 months = 48000 + 99000 = 147000
B invested 5000 more after 3 months when A withdraws 5000 = 12000 + 5000 = 17000
Investment of B for next 9 months = 17000 x 9 = 153000
- Total investment of B for 12 months = 36000 + 153000 = 189000
- C joins after 6 months with a capital of 21000 = 21000 x 6 = 126000
Now;
A : B : C = 147000 : 189000 : 126000
A : B : C = 147 : 189 : 126 (and 147 + 189 + 126 = 462)
Total profit = 26400
B’s share in profit = (189 x 26400)/462 = 10800
C’s share in profit = (126 x 26400)/462 = 7200
Share of B exceeds that of C = 10800 – 7200 = Rs. 3600 answer
Conclusion
A and B entered a partnership investing Rs. 16000 and Rs. 12000 respectively. After 3 months, A withdraw Rs. 5000 while B invested Rs. 5000 more. After 3 more months, C joins the business with a capital Rs. 21000. The share of B exceeds that of C, out of total profit of Rs. 26400 after one year by is Rs. 3600.
