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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?

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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.

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