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C and D invest in a business in the ratio of 1:4. If the total profit is $5000,

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Question: C and D invest in a business in the ratio of 1:4. If the total profit is $5000, how much does D receive?

Options:

  1. $4000
  2. $3000
  3. $2000
  4. $1000

Correct Answer: $4000

Solution: 

Total parts = 1 + 4 = 5. D\'s share = (4/5) * 5000 = $4000.

C and D invest in a business in the ratio of 1:4. If the total profit is $5000,

Practice Questions

Q1
C and D invest in a business in the ratio of 1:4. If the total profit is $5000, how much does D receive?
  1. $4000
  2. $3000
  3. $2000
  4. $1000

Questions & Step-by-Step Solutions

C and D invest in a business in the ratio of 1:4. If the total profit is $5000, how much does D receive?
  • Step 1: Identify the investment ratio of C and D, which is 1:4.
  • Step 2: Add the parts of the ratio together: 1 (for C) + 4 (for D) = 5 total parts.
  • Step 3: Determine D's share of the profit. D's part of the ratio is 4 out of the total 5 parts.
  • Step 4: Calculate D's share of the total profit: (4/5) * 5000.
  • Step 5: Perform the calculation: 4/5 equals 0.8, and 0.8 * 5000 equals 4000.
  • Step 6: Conclude that D receives $4000.
  • Ratio and Proportion – Understanding how to divide profits based on the ratio of investments.
  • Profit Distribution – Calculating individual shares from a total profit based on their investment ratio.
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