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A and B invest in a business in the ratio of 3:4. If the total profit is $70,000

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Question: A and B invest in a business in the ratio of 3:4. If the total profit is $70,000, how much does A receive?

Options:

  1. $30,000
  2. $28,000
  3. $32,000
  4. $35,000

Correct Answer: $30,000

Solution: 

Total parts = 3 + 4 = 7. A\'s share = (3/7) * 70000 = $30,000.

A and B invest in a business in the ratio of 3:4. If the total profit is $70,000

Practice Questions

Q1
A and B invest in a business in the ratio of 3:4. If the total profit is $70,000, how much does A receive?
  1. $30,000
  2. $28,000
  3. $32,000
  4. $35,000

Questions & Step-by-Step Solutions

A and B invest in a business in the ratio of 3:4. If the total profit is $70,000, how much does A receive?
  • Step 1: Identify the ratio of investment between A and B, which is 3:4.
  • Step 2: Add the parts of the ratio together: 3 + 4 = 7 parts.
  • Step 3: Determine A's share of the total profit by using the ratio part for A, which is 3.
  • Step 4: Calculate A's share of the total profit: (3/7) * 70000.
  • Step 5: Perform the calculation: (3/7) * 70000 = 30000.
  • Step 6: Conclude that A receives $30,000.
  • Ratio and Proportion – Understanding how to divide profits based on the ratio of investments.
  • Basic Arithmetic – Performing calculations involving addition and multiplication.
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