Prakash sameer ramesh and Tarun have a total of rs 240 with them. Praksh has half the total amount of what the others have. Sameer has one third of the total amount of what the others have. Ramesh had one fourth of the total amount of what the others have. Find the amount with tarun

Question

Mathematics

Jason Solomon

30 March, 12:14

Prakash sameer ramesh and Tarun have a total of rs 240 with them. Praksh has half the total amount of what the others have. Sameer has one third of the total amount of what the others have. Ramesh had one fourth of the total amount of what the others have. Find the amount with tarun

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Monica · Answer 1

Let the amounts possessed by each represented by initials P, S, R, T.

then

2P=S+R+T ... (1)

3S=P+R+T ... (2)

4R=P+S+T ... (3)

and

P+S+R+T=Rs. 240 ... (4)

Solve by elimination

(1) + (4) = > 3P=240, P=80

(2) + (4) = > 4S=240, P=60

(3) + (4) = > 5R=240, P=48

Substitute above into (4) = > t=52