H and I invest in a business in the ratio 4:5. If the total profit is $1,170, ho

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Question: H and I invest in a business in the ratio 4:5. If the total profit is $1,170, how much does H receive?

Options:

Correct Answer: $520

Solution:

H\'s share = (4 / (4 + 5)) * 1,170 = (4 / 9) * 1,170 = $520.

H and I invest in a business in the ratio 4:5. If the total profit is $1,170, how much does H receive?

H and I invest in a business in the ratio 4:5. If the total profit is $1,170, how much does H receive?

Step 1: Identify the ratio of investment between H and I, which is 4:5.
Step 2: Calculate the total parts in the ratio by adding the two parts together: 4 + 5 = 9.
Step 3: Determine H's share of the profit by using the formula: H's share = (H's part / total parts) * total profit.
Step 4: Substitute H's part (4) and the total profit ($1,170) into the formula: H's share = (4 / 9) * 1,170.
Step 5: Calculate H's share: (4 / 9) * 1,170 = 520.
Step 6: Conclude that H receives $520.

Ratio and Proportion – Understanding how to divide profits based on the ratio of investments.
Basic Arithmetic – Performing calculations involving fractions and multiplication.