There are five friends, P, Q, R, S and T. P says to Q, “If you give me Rs 300,…
2020
There are five friends, P, Q, R, S and T. P says to Q, “If you give me Rs 300, you will have as many as I have at this moment. If S takes Rs 500 from you, he will have as much money as T has now. P and R together has twice much money as T has. Q and S combined have same amount of money as P and R combined. If together they have Rs 15000, How much money R has?
- A.
2800
- B.
2000
- C.
3200
- D.
3000
Attempted by 2 students.
Show answer & explanation
Correct answer: A
Let the current amounts be P, Q, R, S and T.
From the first condition, Q = P + 300. From the second, T = S + 500.
Also P + R = 2T and Q + S = P + R. Solving with total 15000 gives P = 3200, Q = 3500, R = 2800, S = 2500, T = 3000.
So R has Rs. 2800.