Fool's problem of the day,

Just one easy Arithmetic problem,

1) Four friends went to a shop. Ramesh bought a gas stove and a glass and spent $ 720\$ $. Prakash bought a bucket and four glasses along with a towel and spend $640\$$. Rahul and Mahesh spent a third of the total amount spent by four of them, and one of them bought only a towel and a bucket. How much was the gas stove worth, if Mahesh and Rahul spent an equal amount on their shopping?

[Solved by @experimentX]

Good luck!

Question

Fool's problem of the day,

Just one easy Arithmetic problem,

1) Four friends went to a shop. Ramesh bought a gas stove and a glass and spent $ 720\$ $. Prakash bought a bucket and four glasses along with a towel and spend $640\$$. Rahul and Mahesh spent a third of the total amount spent by four of them, and one of them bought only a towel and a bucket. How much was the gas stove worth, if Mahesh and Rahul spent an equal amount on their shopping?

[Solved by @experimentX]

Good luck!

anonymous · Answer

Hey! dont post your links in other's questions. its against the rules

anonymous · Answer

You can post the link in the chat below

callisto · Answer

Sorry, just want to make sure one thing, is total amount spent by them = amount spent by Pra. and Rame.?

anonymous · Answer

@experimentX: That is not the right answer.

mani_jha · Answer

Let the price of gas stove be s, glass be g, bucket be b and towel be t.
s+g=720
b+4g+t=640
t+b=(1/2)*(720+640)/3
Put b+t in the second equation, get g and substitute that in the first equation. Then we can find s.
Correct?

anonymous · Answer

whoa ,maini,good approach...

callisto · Answer

Ram : ST + G = 720
Pra : B +4G +T = 640
Rah + Ma:                = 1/3 (720+640)
where Rah = Ma and B+T = 1/2 [(1/3) (720+640)]
                                B +T = 680/3
B +4G +T = 640
680/3 +4G = 640
G = (640 - 680/3)/4 = 310/3 ?

anonymous · Answer

yes

mani_jha · Answer

I am getting something close to 616.66.
@sarkar, thanks.

anonymous · Answer

@Mani_Jha: What is your final answer?

callisto · Answer

Nah, Mani I don't mean to  'copy' you (well, i didn't )

anonymous · Answer

616.66

anonymous · Answer

thats Mani's final answer

anonymous · Answer

Okay, then it's not correct. The answer is an integer.

mani_jha · Answer

@Callisto, I know that you won't copy someone else's answer.

anonymous · Answer

s=(4040-x)/6
x=rahul or mahesh

callisto · Answer

is total amount spent by them = amount spent by Pra. and Rame.?

anonymous · Answer

I assumed all of them (4 people)..

anonymous · Answer

@Callisto: What do you think?

callisto · Answer

If I had known, I wouldn't have asked for twice

mani_jha · Answer

Total amount spent by Rahul and Mahesh= (1/3)*Amount spent by Prakash and Ramesh. That's what I think it is.
Where could I've gone wrong!

anonymous · Answer

@Callisto: I have updated the problem statement. I hope it's clear now :)

mani_jha · Answer

Oh, that's where I went wrong!

anonymous · Answer

it is not good question, something is ambiguous

turingtest · Answer

A=s+g
B=b+4g+t
(C+D)=(A+B)/3
or
(C+t+b=A+B)/3
3 equations, so it should be solvable

anonymous · Answer

Arithmetic is generally easy, the ambiguity is generally resolved by practice and experience.

experimentx · Answer

this must be right http://www.wolframalpha.com/input/?i=+g%2Bl+%3D+720%3B+b%2B4l%2Bt%3D640%3B++t%2Bb+%3D+1%2F2%281%2F3*2040%29

anonymous · Answer

Yes it is. Congratz @experimentX

turingtest · Answer

whoa, and how did you get that @experimentX  ?

experimentx · Answer

lol ... read the question clearly
the latter guys spent 1/3 of the total .. means the former spent 2/3 ... which means we can find the total ... so it becomes easy peasy after that

turingtest · Answer

lol, yeah thanks I didn't see your post
I just realized it while I was on another Q, got it now
thx !