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H and I invest in a business in the ratio 4:5. If the total profit is $4500, how

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Question: H and I invest in a business in the ratio 4:5. If the total profit is $4500, how much does H receive?

Options:

  1. $2000
  2. $1800
  3. $2500
  4. $2500

Correct Answer: $2500

Solution: 

Total parts = 4 + 5 = 9. H\'s share = (4/9) * 4500 = $2000.

H and I invest in a business in the ratio 4:5. If the total profit is $4500, how

Practice Questions

Q1
H and I invest in a business in the ratio 4:5. If the total profit is $4500, how much does H receive?
  1. $2000
  2. $1800
  3. $2500
  4. $2500

Questions & Step-by-Step Solutions

H and I invest in a business in the ratio 4:5. If the total profit is $4500, how much does H receive?
  • Step 1: Identify the ratio of investment between H and I, which is 4:5.
  • Step 2: Add the parts of the ratio together: 4 + 5 = 9 parts.
  • Step 3: Determine H's share of the total profit by using the ratio: H's share is 4 parts out of 9.
  • Step 4: Calculate H's share of the total profit: (4/9) * 4500.
  • Step 5: Perform the calculation: (4/9) * 4500 = 2000.
  • Step 6: Conclude that H receives $2000.
  • Ratio and Proportion – Understanding how to divide profits based on a given ratio.
  • Basic Arithmetic – Performing calculations involving addition, multiplication, and division.
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