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# A small pool filled only with water will require an addition

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Senior Manager
Joined: 24 Aug 2009
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A small pool filled only with water will require an addition  [#permalink]

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29 Jul 2013, 00:01
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6
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Difficulty:

65% (hard)

Question Stats:

63% (02:18) correct 37% (01:53) wrong based on 232 sessions

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A small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80% of its capacity. If pumping in these additional 300 gallons of water will increase the amount of water in the pool by 30%, what is the total capacity of the pool in gallons?

A. 1000
B. 1250
C. 1300
D. 1600
E. 1625
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Joined: 02 Sep 2009
Posts: 60727
Re: A small pool filled only with water will require an addition  [#permalink]

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29 Jul 2013, 00:09
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fameatop wrote:
A small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80% of its capacity. If pumping in these additional 300 gallons of water will increase the amount of water in the pool by 30%, what is the total capacity of the pool in gallons?

A. 1000
B. 1250
C. 1300
D. 1600
E. 1625

Since pumping in additional 300 gallons of water will increase the amount of water in the pool by 30%, then initially the pool is filled with 1,000 gallons of water.

So, we have that 1,000 + 300 = 0.8*{total} --> {total} = 1,625.

Hope it's clear.
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Re: A small pool filled only with water will require an addition  [#permalink]

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30 Jul 2013, 07:33
5
2
fameatop wrote:
A small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80% of its capacity. If pumping in these additional 300 gallons of water will increase the amount of water in the pool by 30%, what is the total capacity of the pool in gallons?

A. 1000
B. 1250
C. 1300
D. 1600
E. 1625

Difficult one in terms of understanding the wording under exam conditions.

we know that 300 gallons will increase the amount of existing water up to 30%, lets say there are x gallons of water and we add 300 => x+300=1.3x => x=1000
Now we now that 1000 gallons already exist in the tank and we add 300 => 1000+300=1300, which is 80% of the total capacity.
So the total capacity is (1300*100)/80=1625
##### General Discussion
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Location: India
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A small pool filled only with water will require an addition  [#permalink]

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11 Jul 2016, 05:57
1
fameatop wrote:
A small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80% of its capacity. If pumping in these additional 300 gallons of water will increase the amount of water in the pool by 30%, what is the total capacity of the pool in gallons?

A. 1000
B. 1250
C. 1300
D. 1600
E. 1625

we know that adding 300 gallons will increase the water currently in the pool by 30%..
Or...the water will become 130% of itself..and we also know that 30% of the water currently in the pool is 300 gallons..

By unitary method..
if 30% --- 300 gallons
then 130% --- $$300 * \frac{130}{100}$$

This is 80% of the total capacity..so the total capacity will be this value multiplied with

$$\frac{100}{80}$$

Thus the total capacity is

$$300 * \frac{130}{100}*\frac{100}{80}$$

Which gives us..? (E)
Director
Joined: 20 Feb 2015
Posts: 726
Concentration: Strategy, General Management
Re: A small pool filled only with water will require an addition  [#permalink]

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14 Jul 2016, 03:14
let the total capacity and initial water level be x and y respectively

now, as per the question

y+300=.8x -----1

y+300=1.3y ----2
.3y=300
y=1000

substitute in equation 1

1300=.8x
x=13000/8 = 1625
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Location: United States
GMAT 1: 660 Q49 V31
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Re: A small pool filled only with water will require an addition  [#permalink]

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14 Jul 2016, 04:21
fameatop wrote:
A small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80% of its capacity. If pumping in these additional 300 gallons of water will increase the amount of water in the pool by 30%, what is the total capacity of the pool in gallons?

A. 1000
B. 1250
C. 1300
D. 1600
E. 1625

300 gallons of water increases capacity by 30% that means

30% is 300 gallons, so 100% would be = 300*100/30= 1000 gallons

Now 1000 +300 gallons is 80% capacity of tank.

so 100% capacity would be= 1300 *100/80= 1625

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Re: A small pool filled only with water will require an addition  [#permalink]

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20 Oct 2019, 00:07
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Re: A small pool filled only with water will require an addition   [#permalink] 20 Oct 2019, 00:07
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