GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 14 Oct 2019, 01:21

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Two mixtures of X and Y have X and Y in the ratio 3:2 and 3

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Director
Director
User avatar
D
Affiliations: IIT Dhanbad
Joined: 13 Mar 2017
Posts: 729
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: Two mixtures of X and Y have X and Y in the ratio 3:2 and 3  [#permalink]

Show Tags

New post 16 Aug 2017, 13:00
g106 wrote:
Two mixtures of X and Y have X and Y in the ratio 3:2 and 3:4. In what proportion should these two mixtures be mixed to get a new mixture in which the ration of X to Y is 5:4?

A. 6:1
B. 5:4
C. 20:7
D. 10:9
E. 14:11

First mixture X/Y = 3/2 So, X/T = 3/5
Second mixture X/Y = 3/4 So, X/T = 3/7
Final mixture X/Y = 5/4 So, X/T = 5/9

Let the proportion in which first mixture is mixed with second be p/q
So, by allegation formula
3/5 5/9 3/7
_____________________________
p q

p/q = (5/9 - 3/7)/(3/5-5/9) = ((35-27)/9/7)/((27-25)/9/5) = (8/9/7) *(9*5/2) = 20:7

Answer C
_________________
CAT 2017 (98.95) & 2018 (98.91) : 99th percentiler
UPSC Aspirants : Get my app UPSC Important News Reader from Play store.

MBA Social Network : WebMaggu


Appreciate by Clicking +1 Kudos ( Lets be more generous friends.)



What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish".
Intern
Intern
User avatar
B
Joined: 10 Dec 2015
Posts: 26
GMAT 1: 680 Q45 V38
Re: Two mixtures of X and Y have X and Y in the ratio 3:2 and 3  [#permalink]

Show Tags

New post 18 Jan 2018, 11:19
For mixture problems, we can use the quantity of one of the components in both the mixtures for the solution.
Here, we have 3/5 is the conc. of X in soln. 1
And, we have 3/7 is the conc. of Y in soln. 2
Note: The denominators are the total parts of individual solutions(Viz. 5 in soln. 1 & 7 in soln. 2)

Our combined ratio is 5/9.

Simply, substract the individual parts from these two to arrive at the ratio.
(3/5)-(5/9)=(2/45)
(5/9)-(3/7)=(8/63)

Now, rationalize the ratios:
(8/63):(2/45) = 20:7. Ans. C
_________________
-Please give me KUDOS, if my posts help you in anyway.
-Please PM me any doubts which you might have, and I will do my level best to help. :)
Manager
Manager
User avatar
B
Joined: 30 Oct 2018
Posts: 71
Location: India
Schools: IE '22
CAT Tests
Re: Two mixtures of X and Y have X and Y in the ratio 3:2 and 3  [#permalink]

Show Tags

New post 27 Jan 2019, 13:56
weighted avg approach-
3/7- 5/9
-----------
5/9 - 3/5

=20/7 (c)
_________________

----------------------------------
Plz Kudos! if my post helps....
Intern
Intern
avatar
B
Joined: 15 Jun 2018
Posts: 1
CAT Tests
Re: Two mixtures of X and Y have X and Y in the ratio 3:2 and 3  [#permalink]

Show Tags

New post 05 Feb 2019, 14:39
gmatcracker24 wrote:
gopu106 wrote:
Two mixtures of X and Y have X and Y in the ratio 3:2 and 3:4. In what proportion should these two mixtures be mixed to get a new mixture in which the ration of X to Y is 5:4?

A)6:1
B)5:4
C)20:7
D)10:9
E)14:11




Just use alligation method.

Mixture A - 3:2 ;Mixture B - 3:4 .

Now , we know each mixture consists of two components.For using allegations just take
one component.

Mixture A - 3/5 of component 1
Mixture B - 3/7 of component 1

We need a mixture which has 5/9 of component 1


Alligations :

3/5 3/7

5/9

(3/5-5/9) (5/9-3/7)

hence, the proportion in which both should be mixed is

8/63 * 45/2 = 20/7 (C)[code][/code]



Could anybody please explain the part about 5/9 highlighted above?
5/4 is mixture X/mixture Y. So 5/9 is Mixture A/Total. How does 5/9 constitute 5/9 of component 1?

Thanks!
GMAT Club Bot
Re: Two mixtures of X and Y have X and Y in the ratio 3:2 and 3   [#permalink] 05 Feb 2019, 14:39

Go to page   Previous    1   2   [ 24 posts ] 

Display posts from previous: Sort by

Two mixtures of X and Y have X and Y in the ratio 3:2 and 3

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne