C, D, and E invest in a business in the ratio 1:2:3. If the total profit is $12,

C, D, and E invest in a business in the ratio 1:2:3. If the total profit is $12,000, how much does D receive?

C, D, and E invest in a business in the ratio 1:2:3. If the total profit is $12,000, how much does D receive?

Correct Answer: $4,000

Step 1: Identify the ratio of investments made by C, D, and E, which is 1:2:3.
Step 2: Add the parts of the ratio together: 1 + 2 + 3 = 6 parts in total.
Step 3: Determine D's share of the total profit. D's part in the ratio is 2 out of the total 6 parts.
Step 4: Calculate D's share of the profit by multiplying D's part (2) by the total profit ($12,000) and then dividing by the total parts (6): (2/6) * 12000.
Step 5: Simplify the calculation: (2/6) is the same as 1/3, so D's share is 1/3 of $12,000.
Step 6: Calculate 1/3 of $12,000, which equals $4,000.

Ratio and Proportions – Understanding how to divide profits based on given ratios.
Basic Arithmetic – Performing addition and multiplication to calculate shares.