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A and B invest in a business in the ratio of 2:3. If the total profit is $7000,

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Question: A and B invest in a business in the ratio of 2:3. If the total profit is $7000, how much does B receive?

Options:

  1. $2800
  2. $4200
  3. $3500
  4. $3000

Correct Answer: $4200

Solution: 

Total parts = 2 + 3 = 5. B\'s share = (3/5) * 7000 = $4200.

A and B invest in a business in the ratio of 2:3. If the total profit is $7000,

Practice Questions

Q1
A and B invest in a business in the ratio of 2:3. If the total profit is $7000, how much does B receive?
  1. $2800
  2. $4200
  3. $3500
  4. $3000

Questions & Step-by-Step Solutions

A and B invest in a business in the ratio of 2:3. If the total profit is $7000, how much does B receive?
  • Step 1: Identify the ratio of investment between A and B, which is 2:3.
  • Step 2: Add the parts of the ratio together: 2 + 3 = 5 parts.
  • Step 3: Determine B's share of the profit, which corresponds to 3 parts out of the total 5 parts.
  • Step 4: Calculate B's share of the total profit: (3/5) * 7000.
  • Step 5: Perform the calculation: 3/5 = 0.6, then 0.6 * 7000 = 4200.
  • Step 6: Conclude that B receives $4200.
  • Ratio and Proportion – Understanding how to divide profits based on the ratio of investments.
  • Profit Distribution – Calculating individual shares from a total profit based on their investment ratio.
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