If Rs.1260 is divided among A, B and C in the ratio 2:3:4, what is C's share?

Concept: When a total amount is split among parties in a given ratio, each party's share is found by taking that party's own ratio number as a fraction of the sum of all the ratio numbers, then multiplying that fraction by the total amount.

1. Add the ratio numbers to get the total number of parts: 2 + 3 + 4 = 9.

2. C's ratio number is 4, so C's share is 4 out of the 9 total parts, i.e., the fraction 4/9.

3. Multiply this fraction by the total amount: (4/9) × Rs.1260 = Rs.560.

Cross-check: A's share = (2/9) × Rs.1260 = Rs.280 and B's share = (3/9) × Rs.1260 = Rs.420. Adding all three shares gives Rs.280 + Rs.420 + Rs.560 = Rs.1260, which matches the original total — confirming C's share is Rs.560.