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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 I receive?

Options:

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

Correct Answer: $2500

Solution: 

Total parts = 4 + 5 = 9. I\'s share = (5/9) * 4500 = $2500.

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 I receive?
  1. $2500
  2. $2000
  3. $3000
  4. $1500

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 I receive?
  • Step 1: Identify the investment ratio of H and I, which is 4:5.
  • Step 2: Add the parts of the ratio together: 4 + 5 = 9.
  • Step 3: Determine I's share of the total profit by using the ratio part for I, which is 5.
  • Step 4: Calculate I's share by multiplying the total profit ($4500) by I's ratio part (5) divided by the total parts (9): (5/9) * 4500.
  • Step 5: Perform the calculation: (5/9) * 4500 = $2500.
  • Step 6: Conclude that I receives $2500.
  • Ratio and Proportion – Understanding how to divide profits based on a given ratio.
  • Basic Arithmetic – Performing calculations involving addition and multiplication.
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