bhumika.k.shah wrote:Last year, all registered voters in Kumannia voted either for the Revolutionary Party or for the Status Quo Party. This year, the number of revolutionary voters increased 10%, while the number of Status Que voters increased 5%. No other votes were cast. If the number of total voters increased 8%, what fraction of voters voted Revolutionary this year?

Source MGMAT %

can we use the alligation method here ?

Let K be total voters
Let old Revolutionary Party voters be x.
Let new Revolutionary Party voters be y.
Similarly,K-x and P-y for old and new Status Que voters.
y=1.1x
P-y =0.95(K-x)
Also,
P=1.08K


Solving the 3 equations,u will get the answer.
I would advise that you go through advanced word translations problems.
Hope it helps.

bhumika.k.shah wrote:Last year, all registered voters in Kumannia voted either for the Revolutionary Party or for the Status Quo Party. This year, the number of revolutionary voters increased 10%, while the number of Status Que voters increased 5%. No other votes were cast. If the number of total voters increased 8%, what fraction of voters voted Revolutionary this year?

Source MGMAT %

can we use the alligation method here ?

let the number of revolutionary voters last year=x--------> # of voters this year=1.1x
and # of Status Que voters last year =y------>this year=1.08 y

tot last year t1=x+y
tot this year t2=1.1x+1.05y

t2=1.08 of t1
---->1.1x+1.05y=1.08x+1.08y
solving
0.02x=0.03y

y=2/3 of x

tot this year=1.1x+1.05(2x/3)=1.8x

rev voters =1.1x

fraction=1.1x/1.8x=11/18
oa pls

bhumika.k.shah wrote:Last year, all registered voters in Kumannia voted either for the Revolutionary Party or for the Status Quo Party. This year, the number of revolutionary voters increased 10%, while the number of Status Que voters increased 5%. No other votes were cast. If the number of total voters increased 8%, what fraction of voters voted Revolutionary this year?

Source MGMAT %

can we use the alligation method here ?

what does alligation method mean ...will u please explain. I don't know about it...

bhumika.k.shah wrote:Last year, all registered voters in Kumannia voted either for the Revolutionary Party or for the Status Quo Party. This year, the number of revolutionary voters increased 10%, while the number of Status Que voters increased 5%. No other votes were cast. If the number of total voters increased 8%, what fraction of voters voted Revolutionary this year?

Source MGMAT %

can we use the alligation method here ?

Where are the options???

Is this a PS or ds???

shashank.ism wrote:

bhumika.k.shah wrote:Last year, all registered voters in Kumannia voted either for the Revolutionary Party or for the Status Quo Party. This year, the number of revolutionary voters increased 10%, while the number of Status Que voters increased 5%. No other votes were cast. If the number of total voters increased 8%, what fraction of voters voted Revolutionary this year?

Source MGMAT %

can we use the alligation method here ?

what does alligation method mean ...will u please explain. I don't know about it...

In short ,I would say :-
Alligation is an old and practical method of solving arithmetic problems related to mixtures of ingredients. There are two types of alligation: alligation medial, used to find the quantity of a mixture given the quantities of its ingredients, and alligation alternate, used to find the amount of each ingredient needed to make a mixture of a given quantity. Alligation medial is merely a matter of finding a weighted mean.

If you want to look in further details you can check out this link:-
https://en.wikipedia.org/wiki/Alligation
and https://www.toomanymeds.com/pro/powerpoi ... gation.pps

Also,in MGMAT study guide the use of alligation method with examples is given.
For conceptual purposes,I would advise you to refer the Manhattan guide a in it only concepts related to GMAT are given.
Hope it helps.

gmatmachoman wrote:

bhumika.k.shah wrote:Last year, all registered voters in Kumannia voted either for the Revolutionary Party or for the Status Quo Party. This year, the number of revolutionary voters increased 10%, while the number of Status Que voters increased 5%. No other votes were cast. If the number of total voters increased 8%, what fraction of voters voted Revolutionary this year?

Source MGMAT %

can we use the alligation method here ?

Where are the options???

Is this a PS or ds???

Well,this is a PS question from MGMAT - gmatmachoman.
I guess the alligation method can be useful here -bhumika.
Also,I would rewuest you to kindly post the option choices also as it helps us to eliminate some of them and zeo in on our answer. Thanks!

Yes,you can use Alligation method here in this case,8% is actually the weighted mean of 10% and 5%.In fact we can also cross-check our answer by conventional method.
The alligation approach:
x ------ y
10% 5%
8%

3 : 2
fraction of voters voted Revolutionary this year=3/5=60%
The conventional method:
Let the number of revolutionary voters be x while the number of Status Que voters be y.
After respective increases,they become 1.1x and 1.05y.
Accd to question,
1.1x+1.05y=1.08(x+y)
or, 0.02 x = 0.03 y
or, x/y= 3/2
or, x/(x+y)=3/5=0.6=60%