G, H, and I invest in a business in the ratio of 1:2:3. If the total profit is $

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Question: G, H, and I invest in a business in the ratio of 1:2:3. If the total profit is $18000, how much does H receive?

Options:

Correct Answer: $6000

Solution:

Total parts = 1 + 2 + 3 = 6. H\'s share = (2/6) * 18000 = $6000.

G, H, and I invest in a business in the ratio of 1:2:3. If the total profit is $18000, how much does H receive?

G, H, and I invest in a business in the ratio of 1:2:3. If the total profit is $18000, how much does H receive?

Step 1: Understand the ratio of investments. G, H, and I invest in the ratio of 1:2:3.
Step 2: Add the parts of the ratio together. 1 (for G) + 2 (for H) + 3 (for I) = 6 total parts.
Step 3: Determine H's share of the total profit. H's part in the ratio is 2 out of the 6 total parts.
Step 4: Calculate H's share of the profit. Use the formula: H's share = (H's part / total parts) * total profit.
Step 5: Substitute the values into the formula: H's share = (2/6) * 18000.
Step 6: Simplify the fraction 2/6 to 1/3. So, H's share = (1/3) * 18000.
Step 7: Calculate H's share: 18000 divided by 3 equals 6000.
Step 8: Conclude that H receives $6000.

Ratio and Proportions – Understanding how to divide profits based on the ratio of investments.
Basic Arithmetic – Performing addition and multiplication to calculate shares.