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A sum of Rs12,384 is divided between A, B, C and D such that the ratio of the shares of A and B is 3:4, that of B and C is 5:6. and
that of C and D is 8:9. What is the share of C?
Rs2,880
Rs3,888
Rs3,456
Rs2,160
- The sum of Rs12,384 is divided among A, B, C, and D.
- Ratios: A:B = 3:4, B:C = 5:6, C:D = 8:9.
- We need a common variable to find each share. Let the shares of A, B, C, and D be 15x, 20x, 24x, and 27x respectively (aligning all ratios).
- Calculate the total: 15x + 20x + 24x + 27x = 86x.
- The total amount is Rs12,384, so 86x = 12,384.
- Find x: x = 12,384 / 86 = 144.
- Calculate C's share: 24x = 24 * 144 = Rs3,456.
- Option 3: Rs3,456 is correct.
Option 3: Rs3,456
.
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