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

 It is currently 13 Dec 2018, 10:14

### 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

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

## Events & Promotions

###### Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### GMATbuster's Weekly GMAT Quant Quiz, Tomorrow, Saturday at 9 AM PST

December 14, 2018

December 14, 2018

09:00 AM PST

10:00 AM PST

10 Questions will be posted on the forum and we will post a reply in this Topic with a link to each question. There are prizes for the winners.
• ### The winning strategy for 700+ on the GMAT

December 13, 2018

December 13, 2018

08:00 AM PST

09:00 AM PST

What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.

# A solution of acid and water is A% acid. Another solution of acid and

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

### Hide Tags

DS Forum Moderator
Joined: 21 Aug 2013
Posts: 1412
Location: India
A solution of acid and water is A% acid. Another solution of acid and  [#permalink]

### Show Tags

25 Nov 2018, 21:24
1
00:00

Difficulty:

65% (hard)

Question Stats:

33% (01:26) correct 67% (01:11) wrong based on 30 sessions

### HideShow timer Statistics

A solution of acid and water is A% acid. Another solution of acid and water is B% acid. X litres of first solution is mixed with Y litres of second solution to form a new mixture of acid and water. What is the percentage of acid in the new mixture?

(1) Ratio of A:B = 5:4.

(2) Ratio of X:Y = 2:3.
Intern
Status: Prep Mode
Joined: 16 Jan 2015
Posts: 21
Location: India
GMAT 1: 630 Q48 V28
WE: Programming (Computer Software)
Re: A solution of acid and water is A% acid. Another solution of acid and  [#permalink]

### Show Tags

28 Nov 2018, 11:46
Let the final percentage of acid in new mixture = k

A---------------B
-------k----------
k-B------------A-k

It implies that first acid solution and second acid solution should be mixed in a ratio of $$\frac{(k-B)}{(A-k)}$$

Given that X liters of first solution is mixed with Y liters of second solution

$$\frac{(k-B)}{(A-k)}$$= $$\frac{X}{Y}$$

$$Yk - YB = XA - Xk$$

$$k$$= $$\frac{(XA + YB)}{(Y + X)}$$

$$k$$= $$( (\frac{X}{Y})*A +B ) / (1 + \frac{X}{Y})$$

It is clear that we need $$\frac{X}{Y}$$ , A and B to solve for k.

First Statement :

$$\frac{A}{B}$$ = $$\frac{5}{4}$$ -> INSUFFICIENT

Second Statement :

$$\frac{X}{Y}$$ = $$\frac{2}{3}$$ -> Still we need A and B. So INSUFFICIENT.

First + Second Statements:

k cannot be solved unless we know one of A and B. -> INSUFFICIENT

Therefore, Answer = E
Re: A solution of acid and water is A% acid. Another solution of acid and &nbs [#permalink] 28 Nov 2018, 11:46
Display posts from previous: Sort by

# A solution of acid and water is A% acid. Another solution of acid and

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

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.