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?
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? Correct Answer Rs. 2800
P says to Q, “If you give me Rs. 300, you will have as many as I have at this moment.
P = Q – 300
If S takes Rs 500 from you, he will have as much money as T has now.
S + 500 = T
P and R together has twice much money as T has.
P + R = 2T
Q and S combined have same amount of money as P and R combined
Q + S = P + R
If together they have Rs. 15000,
P + Q + R + S + T = 15000.
Now, first we will find the value of T.
P + R = 2T,
S = T – 500
Q = T + 500
Now,
P + Q + R + S + T = 15000.
Becomes,
2T + T + 500 + T – 500 + T = 15000
5T = 15000
T = 3000
S = 2500
Q = 3500
P = 3200
R = 2800
Hence, 2800 is the correct answer.