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...........

Quantitative Aptitude (MTS) Ratio, Proportion

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?

This questions was previously asked in

SSC MTS 8th October 2021 Shift-2

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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