C and D invest in a business in the ratio of 4:5. If the total profit is $4500,

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Question: C and D invest in a business in the ratio of 4:5. If the total profit is $4500, how much does D receive?

Options:

Correct Answer: $2500

Solution:

Total parts = 4 + 5 = 9. D\'s share = (5/9) * 4500 = $2500.

C and D invest in a business in the ratio of 4:5. If the total profit is $4500, how much does D receive?

C and D invest in a business in the ratio of 4:5. If the total profit is $4500, how much does D receive?

Step 1: Identify the ratio of investment between C and D, which is 4:5.
Step 2: Add the parts of the ratio together: 4 + 5 = 9 parts.
Step 3: Determine how many parts D has in the ratio, which is 5 parts.
Step 4: Calculate D's share of the total profit by using the formula: (D's parts / Total parts) * Total profit.
Step 5: Substitute the values into the formula: (5 / 9) * 4500.
Step 6: Calculate the result: 5 * 4500 = 22500, then divide by 9: 22500 / 9 = 2500.
Step 7: Conclude that D receives $2500.

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