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E, F, and G invest in a project with E investing $5000, F $7000, and G $8000. If

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Question: E, F, and G invest in a project with E investing $5000, F $7000, and G $8000. If the profit is $4000, how much does F receive?

Options:

  1. $1200
  2. $1400
  3. $1600
  4. $1800

Correct Answer: $1600

Solution:

Total investment = 5000 + 7000 + 8000 = 20000. F\'s share = (7000/20000) * 4000 = $1400.

E, F, and G invest in a project with E investing $5000, F $7000, and G $8000. If

Practice Questions

Q1
E, F, and G invest in a project with E investing $5000, F $7000, and G $8000. If the profit is $4000, how much does F receive?
  1. $1200
  2. $1400
  3. $1600
  4. $1800

Questions & Step-by-Step Solutions

E, F, and G invest in a project with E investing $5000, F $7000, and G $8000. If the profit is $4000, how much does F receive?
  • Step 1: Identify the amounts invested by each person: E invests $5000, F invests $7000, and G invests $8000.
  • Step 2: Calculate the total investment by adding all the amounts together: 5000 + 7000 + 8000.
  • Step 3: Perform the addition: 5000 + 7000 = 12000, then 12000 + 8000 = 20000. So, the total investment is $20000.
  • Step 4: Determine F's share of the total investment by dividing F's investment by the total investment: 7000 / 20000.
  • Step 5: Calculate F's share: 7000 divided by 20000 equals 0.35.
  • Step 6: Calculate F's portion of the profit by multiplying F's share by the total profit: 0.35 * 4000.
  • Step 7: Perform the multiplication: 0.35 * 4000 equals $1400.
  • Step 8: Conclude that F receives $1400 from the profit.
  • Profit Sharing – Understanding how profits are distributed based on individual investments.
  • Proportional Calculation – Calculating shares based on the ratio of individual contributions to total investment.
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