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# Mixture question

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Intern
Joined: 30 Sep 2018
Posts: 2

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04 Oct 2018, 04:10
Two container A and B have same capacity.In container A,petrol and diesal are in the ratio of 1:3 and this ratio is 1:4 for container B.Half of the quantity of container A is poured in tank B and then same quantity of the resulting mixture is again poured back in container A. What is the ratio of petrol and diesel in the resulting mixture of container A?

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RC Moderator
Joined: 24 Aug 2016
Posts: 790
GMAT 1: 540 Q49 V16
GMAT 2: 680 Q49 V33

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04 Oct 2018, 04:53
1
Georgia wrote:
Two container A and B have same capacity.In container A,petrol and diesal are in the ratio of 1:3 and this ratio is 1:4 for container B.Half of the quantity of container A is poured in tank B and then same quantity of the resulting mixture is again poured back in container A. What is the ratio of petrol and diesel in the resulting mixture of container A?

Posted from my mobile device

let the initial volume of the solutions be 60 ( LCM of 1+3,1+4 3( as we move 1/2 of a to B , at this point vol ratio of a & B will be 1:3))
( 60 is an easy number .....in this case)
Initial : Soln A: Total=60 Petrol=15 Diesel=45 & Soln B: Total=60 Petrol=12 Diesel=48
Just removing 1/2 from A : Soln A: Total=30 Petrol=7.5 Diesel=22.5 & Soln B: Total=60 Petrol=12 Diesel=48
After 1st Iteration( adding removed half to B : Soln A: Total=30 Petrol=7.5 Diesel=22.5 & Soln B: Total= 90 Petrol= 19.5 Diesel= 70.5
Just removing 30(1/3) from B : Soln A: Total=30 Petrol=7.5 Diesel=22.5 & Soln B: Total= 60 Petrol= 13 Diesel=47
After 2nd Iteration( adding removed half to A : Soln A: Total= 60 Petrol=14 Diesel=46 & Soln B: Total= 60 Petrol= 13 Diesel=47

P: D in A = 14:46=7:23
_________________
Please let me know if I am going in wrong direction.
Thanks in appreciation.
Re: Mixture question   [#permalink] 04 Oct 2018, 04:53
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