Explanation:

- The ratio of shares of P, Q, R, and S is 3:4:5:6.

- Let's denote the common multiplier as x.

- Therefore, P = 3x, Q = 4x, R = 5x, and S = 6x.

- Given that R gets Rs 500 more than P:

$5x=3x+500$.

- Solve for x:

$2x=500$

$x=250$.

- Now, let's calculate the individual shares:

- P = 3x = 3 * 250 = 750

- Q = 4x = 4 * 250 = 1,000

- R = 5x = 5 * 250 = 1,250

- S = 6x = 6 * 250 = 1,500

- The sum of all their shares is:

750 + 1,000 + 1,250 + 1,500 = 4,500

- Therefore, the correct option is Option 2: 4,500 .

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