A and B start a business with investments of $5000 and $7000 respectively. If th

Practice Questions

Q1
A and B start a business with investments of $5000 and $7000 respectively. If they earn a profit of $2400, how much profit does A receive?
  1. $1000
  2. $1200
  3. $1400
  4. $800

Questions & Step-by-Step Solutions

A and B start a business with investments of $5000 and $7000 respectively. If they earn a profit of $2400, how much profit does A receive?
  • Step 1: Identify the investments of A and B. A invested $5000 and B invested $7000.
  • Step 2: Calculate the total investment by adding A's and B's investments: 5000 + 7000 = 12000.
  • Step 3: Determine A's share of the total investment by dividing A's investment by the total investment: 5000 / 12000.
  • Step 4: Calculate A's share of the profit by multiplying A's share of the investment by the total profit: (5000 / 12000) * 2400.
  • Step 5: Perform the calculation: (5000 / 12000) = 0.4167 (approximately), then 0.4167 * 2400 = 1000.
  • Step 6: Conclude that A receives a profit of $1000.
  • Profit Sharing – Understanding how profits are distributed based on the ratio of investments made by partners in a business.
  • Ratios and Proportions – Applying ratios to determine each partner's share of the total profit based on their respective investments.
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