A certain sum is divided between four people A B C and D in the ratio 3 4 7 8 respectively If the am...........

Quantitative Aptitude (MTS) Ratio, Proportion

A certain sum is divided between four people A, B, C and D in the ratio 3 : 4 : 7 : 8, respectively. If the amount received by D is

Rs408 more than the amount received by B, what is the total amount received by C and D?

This questions was previously asked in

SSC MTS 13th July 2022 Shift-3

Rs1,630

Rs1,510

Rs1,610

Rs1,530

- The sum is divided among A, B, C, and D in the ratio 3:4:7:8.

- Let the parts of A, B, C, and D be 3x, 4x, 7x, and 8x, respectively.

- The difference between D and B's share is given as Rs 408.

- This means: 8x - 4x = Rs 408 ? 4x = Rs 408 ? x = Rs 102.

- Calculating C and D's shares: C = 7x = 7 * Rs 102 = Rs 714, D = 8x = 8 * Rs 102 = Rs 816.

- Total amount received by C and D is Rs 714 + Rs 816.

- Total: Rs 1,530.

Correct Answer: Option 4 - Rs 1,530.

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