Among Akova, Binova and Celeste, who got the highest share

Question

Among Akova, Binova and Celeste, who got the highest share of profit?
(I) Celeste got half as much profit as Akova and Binova together.
(II) Akova got half as much profit as Binova and Celeste together got.

Dr_Friedrich · Answer

b and c got equal shares...both less than a. am i correct?

Dr_Friedrich · Answer

C is my final answer...both statements required.

jasmine74 · Answer

Can you explain a little? Sorry but I'm so bad in maths :oops

but I'm studying and I'm optimistic :cool

thanks,

Dr_Friedrich · Answer

salut jasmine, i am waiting to see the original answer. if i am right, i will be happy to post the explantion in detail.
f.

banerjeea_98 · Answer

"C".

Using both the statements, each has equal share of profit .....so C is the ans.

Let PA, PB and PC be the profits.

PC = 1/2(PA+PB)...from 1st statement...insuff

PA = 1/2(PB+PC)....from 2nd statement...insuff

Combine

PC = PB....put this in first eq.....u get PA = PC....so all equal.

mdfrahim · Answer

Can you please show in detail how you find PB = PC , from these two statements.

HongHu · Answer

c=1/2(a+b)
a=1/2(b+c)

Add them up, you get a+c=1/2(a+c)+b
=>b=1/2(a+c)

From here you should notice the nice symetry and get the conclusion that they must be the same. However if you still want to solve it:

b=1/2(1/2b+1/2c+c)=1/4b+3/4c
=>3/4b=3/4c
=>b=c

You can get a=b similarly.

greenandwise · Answer

My answer is C.
 From both together you get A=B=C. So they all got the same amount of shares.

qhoc0010 · Answer

I wonder if the correct answer must be (E)?? Even though OA is (C)

However, the question asked who got the highest. The answer is Akova, Binova and Celeste (since all equal). There are 3 answers. Just as we say (E) if x = 5 or x = 3

Please give me your oppinion.

nocilis · Answer

If the answer is all the three, then I think E will be right as we can't give a single answer. 
Good one to remember!

HongHu · Answer

E means I plus II don't give sufficient information about who has the highest profit. However I and II together IS sufficient (as no other information will be needed to get to the answer), even if the answer is nobody has a higher profit than others.

In other words, correct answer for this question is still (C).

qhoc0010 · Answer

In DS problem, if we combine (1) and (2) and sure we cannot find x, can we say it is (C), since x cannot be found, and that is the answer???

Same as this one??

apandey · Answer

Its (C). took some time though.

Among Akova, Binova and Celeste, who got the highest share

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