Verbal Reasoning - Arithmetic Reasoning - Discussion

Discussion :: Arithmetic Reasoning - Section 1 (Q.No.36)

36. 

Three friends had dinner at a restaurant. When the bill was received, Amita paid 2/3 as much as Veena paid and Veena paid 1/2 as much as Tanya paid. What faction of the bill did Veena pay ?

[A]. 1/3
[B]. 3/11
[C]. 12/13
[D]. 5/8

Answer: Option B

Explanation:


Brijesh said: (Dec 15, 2011)  
Let Tanya paid x

Then Veena paid 1/2*x

and Amita paid 2/3*1/2*x

Tota bill

(2/3*1/2*x)+ (1/2*x) + x = 1

2x+3x+6x = 6

x = 6/11

Veenna's Bill 1/2*6/11 = 3/11

Rohit said: (Oct 22, 2014)  
Let Veena paid x,
So Anita paid 2/3 x,
And Tanya paid 2x,

So total bill paid is given by,

x+(2/3)x+2x = 1.
i.e x = 3/11(ans).

Kajal said: (Sep 21, 2017)  
Thanks @Rohit.

Phanindra said: (Sep 6, 2018)  
@Rohit.

How 2x came? Please explain.

Shivam said: (Sep 20, 2018)  
As it is given that Veena paid 1/2 of what Tanya paid or simply Tanya paid double of Veena. That's why money paid by Tanya is assumed to be 2x.

Navya Sree said: (May 10, 2019)  
Thanks @Rohit.

Ram said: (May 14, 2022)  
Let, Tanay's share = x.
Veena's share = x/2.
Amita share = x/2*2/3=2x/6,
Total amount = x+x/2+2x/6 = 1,
=6x+3x+2x/6=1,
=11x=6,
X = 6/11.

Veena share = x/2.
= (6/11)/2,
= 3/11.

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