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H and I invest in a business in the ratio 4:1. If the total profit is $12000, ho

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Question: H and I invest in a business in the ratio 4:1. If the total profit is $12000, how much does H receive?

Options:

  1. $9600
  2. $8000
  3. $7200
  4. $6000

Correct Answer: $9600

Solution: 

Total parts = 4 + 1 = 5. H\'s share = (4/5) * 12000 = $9600.

H and I invest in a business in the ratio 4:1. If the total profit is $12000, ho

Practice Questions

Q1
H and I invest in a business in the ratio 4:1. If the total profit is $12000, how much does H receive?
  1. $9600
  2. $8000
  3. $7200
  4. $6000

Questions & Step-by-Step Solutions

H and I invest in a business in the ratio 4:1. If the total profit is $12000, how much does H receive?
  • Step 1: Identify the ratio of investment between H and I, which is 4:1.
  • Step 2: Add the parts of the ratio together: 4 (for H) + 1 (for I) = 5 parts total.
  • Step 3: Determine H's share of the total profit. H's share is 4 parts out of the total 5 parts.
  • Step 4: Calculate H's share of the profit by multiplying H's parts by the total profit: (4/5) * 12000.
  • Step 5: Perform the calculation: (4/5) * 12000 = 9600.
  • Step 6: Conclude that H receives $9600.
  • Ratio and Proportion – Understanding how to divide profits based on a given ratio.
  • Basic Arithmetic – Performing multiplication and division to calculate shares.
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