6. A, B, C and D entered into a partnership investing 12,500 each for 5, 8, 9 and 10 months
respectively. A is working partner and gets 12% of the total profit for the same. Find the
share of each in a profit of 40,000 after 11 months.
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Answers
Given :- A, B, C and D entered into a partnership investing 12,500 each for 5, 8, 9 and 10 months respectively. A is working partner and gets 12% of the total profit for the same. Find the share of each in a profit of 40,000 ?
Answer :-
we know that,
- Profit is distributed in the ratio of their investment * time .
so,
Profit of A : Profit of B : Profit of C : Profit of D = (12500 * 5) : (12500 * 8) : (12500 * 9) : (12500 * 10) = 5 : 8 : 9 : 10 .
now, since A is working partner , he gets 12% of the total profit .
then,
→ A gets for working partner = (40000 * 12)/100 = Rs.4800 .
now,
→ Left profit to be distributed among them in ratio = 40000 - 4800 = Rs.35200 .
then,
→ Share of A = 4800 + 35200 * (5/32) = 4800 + 5500 = Rs.10300 .
→ Share of B = 35200 * (8/32) =Rs.8800 .
→ Share of C = 35200 * (9/32) =Rs.9900 .
→ Share of D = 35200 * (10/32) =Rs.11000
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