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A, B and C Enter into a Partnership. A Invests Some Money at the Beginning, B Invests Double the Amount after 6 Months and C Invest Thrice the Amount after 8 Months. If the Annual Profit be Rs. 27000, C’s Share is?

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Explanation

A, B and C enter into a partnership.

  • A invests some money at the beginning.
  • B invests double the amount after 6 months.
  • C invest thrice the amount after 8 months.

Assuming A invests Rs. “y” then B’s would be “2y” and C’s investment would be “3y”.

Total investment of A, B and C for 12 months, 6 months and 8 months respectively (12y : 12y : 12y).

Out of total profit (27000), C receives;

C’s share in profit = (C’s ratio of investment x total profit)/total ratio

To Find

C’s share in profit = ?

Solution

Let suppose

A invests = y

For 12 months = 12y

Investment of B = 2y

For 6 months = 12y

Investment of C = 3y

For 4 months = 12y

A : B : C = 12y : 12y : 12y

A : B : C = 1 : 1 : 1     (1 + 1 + 1 = 3)

Total profit (given) = 27000

C’s share in profit = (1 x 27000)/3 = Rs. 9000 answer

Conclusion

A, B and C enter into a partnership. A invests some money at the beginning, B invests double the amount after 6 months and C invest thrice the amount after 8 months. If the annual profit be Rs. 27000, C’s share would be Rs. 9000.

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