P, Q, and R share a total of Rs. 6000. If R possesses two-thirds of the combined amount held by P and Q, what is the sum of money with R?

Explanation

Let the amount with R be Rs. r. According to the problem, r = (2/3) × (total amount with P and Q). Since total amount is Rs. 6000, amount with P and Q is (6000 - r). Thus, r = (2/3)(6000 - r). Multiplying both sides by 3 gives 3r = 12000 - 2r. Adding 2r to both sides results in 5r = 12000, so r = 2400. Therefore, R has Rs. 2400.