If A, B, and C invest in a business in the ratio 1:2:3 and the total profit is $

Practice Questions

Q1
If A, B, and C invest in a business in the ratio 1:2:3 and the total profit is $1200, how much does A receive?
  1. $200
  2. $300
  3. $400
  4. $500

Questions & Step-by-Step Solutions

If A, B, and C invest in a business in the ratio 1:2:3 and the total profit is $1200, how much does A receive?
Correct Answer: $200
  • Step 1: Understand the ratio of investments. A, B, and C invest in the ratio 1:2:3.
  • Step 2: Add the parts of the ratio together. 1 (for A) + 2 (for B) + 3 (for C) = 6 parts total.
  • Step 3: Determine A's share of the total profit. A's share is 1 part out of the 6 total parts.
  • Step 4: Calculate A's share of the profit. A's share = (1/6) * total profit.
  • Step 5: Substitute the total profit into the equation. A's share = (1/6) * 1200.
  • Step 6: Perform the calculation. A's share = 200.
  • Ratio and Proportion – Understanding how to divide profits based on given ratios.
  • Basic Arithmetic – Performing addition and multiplication to calculate shares.
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