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A, B and C Enter into a Partnership with a Capital in which A’s Contribution is Rs. 10000. If out of a Total Profit of Rs. 1000, A Gets Rs. 500 and B Gets Rs. 300, then C’s Capital is?

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Explanation

A, B and C enter into a partnership with a capital in which A’s contribution is Rs. 10000.

Total profit is Rs. 1000.

A gets Rs. 500.

B gets Rs. 300.

As, A and B’s profit is given (total profit is also given); so C’s profit will be Rs. 200 [1000 – (500 + 300) = 1000 – 800 = Rs. 200].

Profit ratio = 500 : 300 : 200        (5 : 3 : 2)

We also know that, profit is distributed among partners in the ratio of their capitals.

So, 5 unites = 10000 this implies that 2 unites = 4000 which is our required answer.

To Find

Amount invested by y = ?

Solution

Profit of A = 500

Profit of B = 300

Total Profit = 1000

C’s profit = 1000 – (500 + 300) = 1000 – 800 = 200

Profit ratio = 500 : 300 : 200

Profit ratio = 5 : 3 : 2

As, profit is distributed among partners in the ratio of their capitals.

So;

5 units = 10000

1 unit = 10000/5 = 2000

2 units = 2000 x 2 = Rs. 4000 answer

Conclusion

A, B and C enter into a partnership with a capital in which A’s contribution is Rs. 10000. If out of a total profit of Rs. 1000, A gets Rs. 500 and B gets Rs. 300, then C’s capital will be Rs. 4000.

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