A sum of money is divided among A, B, and C in the ratio 2:3:5. If the total amo

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Question: A sum of money is divided among A, B, and C in the ratio 2:3:5. If the total amount is $200, how much does B receive?

Options:

Correct Answer: 60

Solution:

Total parts = 2 + 3 + 5 = 10. B\'s share = (3/10) × 200 = 60.

A sum of money is divided among A, B, and C in the ratio 2:3:5. If the total amount is $200, how much does B receive?

A sum of money is divided among A, B, and C in the ratio 2:3:5. If the total amount is $200, how much does B receive?

Step 1: Understand the ratio given for A, B, and C, which is 2:3:5.
Step 2: Add the parts of the ratio together: 2 + 3 + 5 = 10.
Step 3: Identify how many parts B has in the ratio, which is 3.
Step 4: Calculate B's share by using the formula: (B's parts / Total parts) × Total amount.
Step 5: Substitute the values into the formula: (3 / 10) × 200.
Step 6: Perform the calculation: 3 × 200 = 600, then divide by 10: 600 / 10 = 60.
Step 7: Conclude that B receives $60.

Ratio and Proportion – Understanding how to divide a total amount based on given ratios.
Basic Arithmetic – Performing calculations involving addition and multiplication.