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A, B, and C invest in a business in the ratio 2:3:5. If the total profit is $100

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Question: A, B, and C invest in a business in the ratio 2:3:5. If the total profit is $10000, how much does C receive?

Options:

  1. $4000
  2. $5000
  3. $6000
  4. $7000

Correct Answer: $5000

Solution: 

Total parts = 2 + 3 + 5 = 10. C\'s share = (5/10) * 10000 = $5000.

A, B, and C invest in a business in the ratio 2:3:5. If the total profit is $100

Practice Questions

Q1
A, B, and C invest in a business in the ratio 2:3:5. If the total profit is $10000, how much does C receive?
  1. $4000
  2. $5000
  3. $6000
  4. $7000

Questions & Step-by-Step Solutions

A, B, and C invest in a business in the ratio 2:3:5. If the total profit is $10000, how much does C receive?
  • Step 1: Identify the ratio of investments by A, B, and C, which is 2:3:5.
  • Step 2: Add the parts of the ratio together: 2 + 3 + 5 = 10.
  • Step 3: Determine C's part of the ratio, which is 5.
  • Step 4: Calculate C's share of the total profit: (C's part / total parts) * total profit.
  • Step 5: Substitute the values: (5 / 10) * 10000.
  • Step 6: Simplify the calculation: 0.5 * 10000 = 5000.
  • Step 7: Conclude that C receives $5000.
  • Ratio and Proportion – Understanding how to divide profits based on the ratio of investments.
  • Basic Arithmetic – Performing addition and multiplication to calculate shares.
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