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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?

Ask by Love Bradley. in South Africa
Mar 13,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The total profit made by the company that year was R60,000.

Solution

**Step 1. Calculate the total initial contribution.** \[ \text{Total contribution} = 150\,000 + 120\,000 + 90\,000 = 360\,000 \] --- **Step 2. Determine Zizi's share ratio of the contribution.** \[ \text{Zizi's ratio} = \frac{90\,000}{360\,000} = \frac{1}{4} \] --- **Step 3. Set up the equation for Zizi's share of the profit.** Let the total profit be \( T \). Since Zizi gets \(\frac{1}{4}\) of the total profit, we have: \[ \frac{1}{4}T = 15\,000 \] --- **Step 4. Solve for \( T \).** \[ T = 15\,000 \times 4 = 60\,000 \] --- **Final Answer:** The total profit made by the company that year was \( R60\,000 \).

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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.

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