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E, F, and G invest in a project with investments of $5000, $7000, and $8000 resp

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Question: E, F, and G invest in a project with investments of $5000, $7000, and $8000 respectively. If the profit is $4000, what is G\'s share?

Options:

  1. $1600
  2. $2000
  3. $1800
  4. $2200

Correct Answer: $2000

Solution:

Total investment = 5000 + 7000 + 8000 = 20000. G\'s share = (8000/20000) * 4000 = $1600.

E, F, and G invest in a project with investments of $5000, $7000, and $8000 resp

Practice Questions

Q1
E, F, and G invest in a project with investments of $5000, $7000, and $8000 respectively. If the profit is $4000, what is G's share?
  1. $1600
  2. $2000
  3. $1800
  4. $2200

Questions & Step-by-Step Solutions

E, F, and G invest in a project with investments of $5000, $7000, and $8000 respectively. If the profit is $4000, what is G's share?
  • Step 1: Identify the investments made by E, F, and G. E invested $5000, F invested $7000, and G invested $8000.
  • Step 2: Calculate the total investment by adding all the individual investments 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 G's share of the total investment by dividing G's investment by the total investment: 8000 / 20000.
  • Step 5: Calculate the fraction: 8000 / 20000 = 0.4.
  • Step 6: To find G's share of the profit, multiply G's fraction (0.4) by the total profit ($4000): 0.4 * 4000.
  • Step 7: Perform the multiplication: 0.4 * 4000 = 1600. Therefore, G's share of the profit is $1600.
  • Profit Sharing – Understanding how to distribute profits based on the proportion of individual investments.
  • Proportional Calculation – Calculating shares based on total contributions and total profit.
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