Question

Prakash,Sameer, Ramesh and Tarun have a total of 240rs with them. Prakash has half the total amount what others have. sameer has one third of the total amount of what the others have. Ramesh have one-fourth of the total amount what others have. find the amount with tarun

Answer 1

52

(240-p)/2=p
Amount with Prakash  Rs 80 
similarly solving for Sameer and Ramesh  you get 60 and 48 respectivly...
so Tarun is left with 52 Rupees

Answer 2

The amount with Tarun is Rs.52

Given :

Total amount = Rs.240

Prakash has half the total amount what others have.

Sameer has one third of the total amount of what the others have.

Ramesh has one-fourth of the total amount what others have.

To find :

The amount with Tarun

Solution :

Let the amount with Tarun, Sameer and Ramesh be Rs.x

Therefore amount with Prakash = Rs. x/2

Hence, x + x/2 = 240

=> 3x/2 = 240

=> 3x = 480

x = 480/3

= 160

Hence, amount with Prakash = 160/2

= Rs.80

Let the amount with Tarun, Prakash and Ramesh be Rs.y

Therefore amount with Sameer = Rs. y/3

Hence, y + y/3 = 240

=> 4y/3 = 240

=> 4y = 720

y = 720/4

= 180

Hence, amount with Sameer = 180/3

=Rs. 60

Let the amount with Tarun, Prakash and Sameer be Rs.z

Therefore amount with Ramesh = Rs. z/4

Hence, z + z/4 = 240

=> 5z/4 = 240

=> 5z = 960

z = 960/5

= 192

Hence, amount with Ramesh = 192/4

=Rs. 48

Therefore the amount with Tarun = 240 - (80+60+48)

= 240 - 188

= 52

Hence, the amount with Tarun is Rs.52

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