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George, Jenna and Doreen start a new company, They agree to share any profit/loss made by the company in the same ratio as their initial contributions to the start-up capital of the company. If George, Jenna and Doreen's respective contributions to the start-up capital are R250 000,00, R100 000,00, and R50 000,00 , and total profit in the company's first year of operation is R160 000,00, how much did each of the partners receive that year?

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George: $R100 000$

Jenna: $R40 000$

Doreen: $R20 000$

Explanation:

The total startup capital was R400 000, this means that each contributed:

George: $\dfrac{250 000}{400 000} = 0.625$

Jenna: $\dfrac{100 000}{400 000} = 0.25$

Doreen: $\dfrac{50 000}{400 000} = 0.125$

If they shared the profit of R160 000 in the ratio of their contributions, then:

George got: $0.625 \times 160 000 = 100 000$

Jenna: $0.25 \times 160 000 = 40 000$

Doreen: $0.125 \times 160 000 = 20 000$

by Diamond (55,883 points)

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