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# How much pure alcohol should be added to 400ml of a 15% solu

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Manager
Joined: 22 Jul 2008
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Location: Bangalore,Karnataka
How much pure alcohol should be added to 400ml of a 15% solu [#permalink]

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02 Dec 2009, 01:21
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Difficulty:

25% (medium)

Question Stats:

77% (01:23) correct 23% (02:11) wrong based on 203 sessions

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How much pure alcohol should be added to 400ml of a 15% solution to make the strength of solution 32%?

A. 100 ml
B. 60 ml
C. 120 ml
D. 130 ml
E. 150 ml
[Reveal] Spoiler: OA

Kudos [?]: 241 [1], given: 11

Senior Manager
Joined: 30 Aug 2009
Posts: 283

Kudos [?]: 191 [0], given: 5

Location: India
Concentration: General Management

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02 Dec 2009, 01:35
kirankp wrote:
How much pure alcohol should be added to 400ml of a 15% solution to make the strength of solution 32%?

A)100 ml
B) 60 ml
C)120 ml
D)130 ml
E)150 ml

400ml has 15% alcohol i.e 60ml . This means we have 340ml of water or the liquid with which alcohol is mixed
Let V be the volume of alcohol added to make the strength 32%
then V/340+V = 32/100. solving this we get V as 160ml

so we need to add 160 -60 = 100ml of alcohol

A-100ml

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Intern
Joined: 31 Oct 2009
Posts: 38

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02 Dec 2009, 14:28
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Here's how I did it:

$$(400)(.15) = 60$$ mL of Alcohol

$$.32 = \frac{60+x}{400+x}$$

$$(.32)(400+x)=60+x$$

$$128+.32x=60+x$$

$$68=.68x$$

$$x=100$$

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Manager
Joined: 13 Aug 2009
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WE 1: 4 years in IT

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02 Dec 2009, 23:17
we can also go by answer choices

Tke 100 ml for eg

400 (old)+100 (new concentr)ml

500*32/100 = 160 ml (60ml is de old concentration +100 ml (newly added)

Let me know if im wrong

Cheers,
Raghav

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Senior Manager
Joined: 30 Aug 2009
Posts: 283

Kudos [?]: 191 [0], given: 5

Location: India
Concentration: General Management

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02 Dec 2009, 23:25
raghavs wrote:
we can also go by answer choices

Tke 100 ml for eg

400 (old)+100 (new concentr)ml

500*32/100 = 160 ml (60ml is de old concentration +100 ml (newly added)

Let me know if im wrong

Cheers,
Raghav

yes we can go by answer choices as well....but in GMAT we will see questions having values either in ascending or descending order unlike the options in the question here. Plugging in/POE is always suggested to be done taking the middle option first and then proceed.
I feel taking answer choices will take more time to solve this question.

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Manager
Joined: 09 May 2009
Posts: 204

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17 Dec 2009, 04:23
1
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kirankp wrote:
How much pure alcohol should be added to 400ml of a 15% solution to make the strength of solution 32%?

A)100 ml
B) 60 ml
C)120 ml
D)130 ml
E)150 ml

15% of 400=60 ml
(60+x)/(400+x)=32%
solving x=100 ml
_________________

GMAT is not a game for losers , and the moment u decide to appear for it u are no more a loser........ITS A BRAIN GAME

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Re: How much pure alcohol should be added to 400ml of a 15% solu [#permalink]

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19 Mar 2015, 17:24
Hello from the GMAT Club BumpBot!

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Manager
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Re: How much pure alcohol should be added to 400ml of a 15% solu [#permalink]

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10 Oct 2015, 08:39
can you do this problem with allegation?

Kudos [?]: 19 [0], given: 213

Re: How much pure alcohol should be added to 400ml of a 15% solu   [#permalink] 10 Oct 2015, 08:39
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