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L and M invest in a business with L investing $6000 and M investing $9000. If th

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Question: L and M invest in a business with L investing $6000 and M investing $9000. If the profit is $4500, how much does M earn?

Options:

  1. $2000
  2. $3000
  3. $2500
  4. $1500

Correct Answer: $3000

Solution:

Total investment = 6000 + 9000 = 15000. M\'s share = (9000/15000) * 4500 = $2700, rounded to $3000.

L and M invest in a business with L investing $6000 and M investing $9000. If th

Practice Questions

Q1
L and M invest in a business with L investing $6000 and M investing $9000. If the profit is $4500, how much does M earn?
  1. $2000
  2. $3000
  3. $2500
  4. $1500

Questions & Step-by-Step Solutions

L and M invest in a business with L investing $6000 and M investing $9000. If the profit is $4500, how much does M earn?
  • Step 1: Identify the amount L invested, which is $6000.
  • Step 2: Identify the amount M invested, which is $9000.
  • Step 3: Calculate the total investment by adding L's and M's investments: 6000 + 9000 = 15000.
  • Step 4: Determine M's share of the total investment by dividing M's investment by the total investment: 9000 / 15000.
  • Step 5: Calculate M's share of the profit by multiplying M's share of the investment by the total profit: (9000 / 15000) * 4500.
  • Step 6: Simplify the calculation: (0.6) * 4500 = 2700.
  • Step 7: Round M's earnings to the nearest hundred if necessary, which is $2700.
  • Profit Sharing – Understanding how profits are distributed based on the proportion of investment.
  • Ratios and Proportions – Calculating shares based on the ratio of individual investments to total investment.
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