Pat, Lizah and Zizi start a new company. They agree to share comprotitloss made by the in the same ratio as their initial contributions to the start-up capital of the company. If Pat, Lizah and Zizi's respective contributions to the start-up capital are P150 000,00; R120 000,00; and R90 000,00 and Zizi's share of the profit in the company's first year of operation is R15 000,00, what was the total profit made by the company that year?
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To determine the total profit made by the company, we'll first find the ratio of their contributions. Pat contributed P150,000, Lizah R120,000, and Zizi R90,000. The total contribution is: P150,000 + R120,000 + R90,000 = P360,000. Now, we can find the ratio of each person's contribution: - Pat's ratio: 150,000 / 360,000 = 5/12 - Lizah's ratio: 120,000 / 360,000 = 1/3 = 4/12 - Zizi's ratio: 90,000 / 360,000 = 1/4 = 3/12 Now, add all the ratios: 5/12 + 4/12 + 3/12 = 12/12 = 1 (This checks out!) If Zizi's share of the profit is R15,000 and that corresponds to his ratio of 3/12, we can set up the equation: (3/12) * Total Profit = R15,000. To find the total profit, rearranging gives us: Total Profit = R15,000 / (3/12) = R15,000 * (12/3) = R15,000 * 4 = R60,000. So, the total profit made by the company that year was R60,000.