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

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Question: 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?

Options:

Correct Answer: $400

Solution:

Total parts = 1 + 2 + 3 = 6. A\'s share = (1/6) * 1200 = $200.

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?

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.