A sum of ₹1200 is divided among A, B, and C in the ratio 2:3:5. How much does B receive?
₹360
When an amount is divided in a given ratio, each share is the person's ratio term divided by the sum of the terms, multiplied by the total amount.
Sum of ratio terms = 2 + 3 + 5 = 10
B's share = \(\frac{3}{10}\) × 1200
= 3 × 120
= ₹360
Check: A = \(\frac{2}{10}\) × 1200 = ₹240, C = \(\frac{5}{10}\) × 1200 = ₹600
240 + 360 + 600 = ₹1200. Here ₹240 and ₹600 are the shares of the other two people, not of B.
Hence, ₹360.
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