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If I and J invest in a business in the ratio 5:7 and the total profit is $48,000

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Question: If I and J invest in a business in the ratio 5:7 and the total profit is $48,000, how much does I receive?

Options:

  1. $20,000
  2. $25,000
  3. $30,000
  4. $35,000

Correct Answer: $25,000

Solution: 

Total parts = 5 + 7 = 12. I\'s share = (5/12) * 48000 = $20,000.

If I and J invest in a business in the ratio 5:7 and the total profit is $48,000

Practice Questions

Q1
If I and J invest in a business in the ratio 5:7 and the total profit is $48,000, how much does I receive?
  1. $20,000
  2. $25,000
  3. $30,000
  4. $35,000

Questions & Step-by-Step Solutions

If I and J invest in a business in the ratio 5:7 and the total profit is $48,000, how much does I receive?
  • Step 1: Identify the ratio of investment between I and J, which is 5:7.
  • Step 2: Add the parts of the ratio together: 5 + 7 = 12 parts.
  • Step 3: Determine I's share of the total profit by using the ratio: I's share is 5 parts out of 12.
  • Step 4: Calculate I's share of the total profit: (5/12) * 48000.
  • Step 5: Perform the calculation: (5/12) * 48000 = 20000.
  • Step 6: Conclude that I receives $20,000.
  • Ratio and Proportion – Understanding how to divide a total based on given ratios.
  • Profit Sharing – Calculating individual shares from a total profit based on investment ratios.
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