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Explanation
A, B, C subscribe Rs. 50000 for a business.
- A subscribes Rs. 4000 more than B
- B Rs. 5000 more than C.
Let suppose C subscribe Rs. y for a business, then B = y + 5000 and A = y + 5000 + 4000 (y + 9000).
As, total investment is given (50000); this discloses subscription of A, B and C (21000, 17000 and12000) by placing all the values equals 50000 (y + 9000 + y + 5000 + y = 50000). Out of total profit (35000), A receives;
A’s share in profit = (A’s ratio of investment x total profit)/total ratio
To Find
A’s share profit = ?
Solution
Let suppose
C subscribe = y
Then, subscription of B = y + 5000
Subscription of A = y + 9000
y + 9000 + y + 5000 + y = 50000
3y + 14000 = 50000
3y = 36000
y = 12000
It reveals; C = Rs. 12000; B = Rs. 17000 and A = Rs. 21000
A : B : C = 21000 : 17000 : 12000
A : B : C = 21 : 17 : 12 (and 21 + 17 + 12 = 50)
Total profit (given) = 35000
A’s share in profit = (21 x 35000)50 = Rs. 14700 answer
Conclusion
A, B, C subscribe Rs. 50000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35000, A receives Rs. 14700.
