A sum of Rs3 900 is divided among P Q and R such that R receives two fifths of P 39 s share and Q re...........

Quantitative Aptitude (MTS) Ratio, Proportion

A sum of Rs3,900 is divided among P, Q and R such that R receives two-fifths of P's share and Q receives three times of R's

share. What is Q's share (in Rs)?

This questions was previously asked in

SSC MTS 18th October 2021 Shift-2

1,500

600

1,800

1,200

- Let's assume P's share is Rs x.

- R receives two-fifths of P's share: R = (2/5)x.

- Q receives three times R's share: Q = 3 × [2/5)x] = (6/5)x.

- Total shares: P + Q + R = x + (6/5)x + (2/5)x = Rs 3,900.

- Combine the fractions: x + (8/5)x = Rs 3,900.

- This gives (13/5)x = Rs 3,900.

- Solving for x: x = Rs 3,900 × (5/13).

- From calculation, x = Rs 1,500 (P's share).

- Therefore, Q = (6/5)x = Rs 1,800.

- Option 3: 1,800 is correct.

Submit Error