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A tank is filled to 75% of its capacity with water

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A tank is filled to 75% of its capacity with water  [#permalink]

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New post Updated on: 28 Sep 2019, 14:15
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Question Stats:

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EMPOWERgmat PS Series:
Block 1, Question 2

A tank is filled to 75% of its capacity with water. If P pounds of water would fill 60% of the tank, then how many additional pounds of water, in terms of P, must be added to the tank to fill the current 75% up to 100%?

A. P/4
B. 2P/5
C. 5P/12
D. 14P/27
E. 20P/33


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Originally posted by EMPOWERgmatRichC on 24 Sep 2019, 15:27.
Last edited by EMPOWERgmatRichC on 28 Sep 2019, 14:15, edited 1 time in total.
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Re: A tank is filled to 75% of its capacity with water  [#permalink]

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New post 24 Sep 2019, 17:29
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EMPOWERgmatRichC wrote:
EMPOWERgmat PS Series:
Block 1, Question 2

A tank is filled to 75% of its capacity with water. If P pounds of water would fill 60% of the tank, then how many additional pounds of water, in terms of P, must be added to the tank to fill the current 75% up to 100%?

A. P/4
B. 2P/5
C. 5P/12
D. 14P/27
E. 20P/33


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[quote="EMPOWERgmatRichC"]EMPOWERgmat PS Series:
Block 1, Question 2

Given:A tank is filled to 75% of its capacity with water.

Asked: If P pounds of water would fill 60% of the tank, then how many additional pounds of water, in terms of P, must be added to the tank to fill the current 75% up to 100%?

Water required to fill the tank (100%) = P/.6

Water required to fill 25% remaining tank = .25P/.6 = 5P/12

IMO C

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Re: A tank is filled to 75% of its capacity with water  [#permalink]

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New post 24 Sep 2019, 16:48
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EMPOWERgmatRichC wrote:
EMPOWERgmat PS Series:
Block 1, Question 2

A tank is filled to 75% of its capacity with water. If P pounds of water would fill 60% of the tank, then how many additional pounds of water, in terms of P, must be added to the tank to fill the current 75% up to 100%?

A. P/4
B. 2P/5
C. 5P/12
D. 14P/27
E. 20P/33


48 Hour Window Answer & Explanation Window
Earn KUDOS! Share your explanations for kudos from other members, and the EMPOWERgmat team. Even if you're not sure, share your explanation to help boost your learning. Post your reasoning why the answer you chose is correct within 48 hours of this post.

The OA and official explanation will be held until the 48 hour window has lapsed.


Let the capacity = 100 Liter

Then 75% of capacity= 75 Liter & 60% of capacity= P =60

We need 25 Liter to increase water from 75% to 100%

A. P/4 = 60/4 =15.........................Eliminate

B. 2P/5 = 2*60/5=24.....................Eliminate

C. 5P/12 =5*60/12 =25.....................Keep

D. 14P/27=14*60/27=non integer......Eliminate

E. 20P/33=20*60/33=non integer......Eliminate

Answer: C
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Re: A tank is filled to 75% of its capacity with water  [#permalink]

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New post 28 Sep 2019, 14:09
OFFICIAL ANSWER

Hi All,

We're told that a tank is filled to 75% of its capacity with water. If P pounds of water would fill 60% of the tank, then how many additional pounds of water, in terms of P, must be added to the tank to fill the current 75% up to 100%? This question can be solved in a couple of different ways, including by TESTing VALUES.

To start, since we're dealing with percentages, it would likely be easiest to TEST the number 100...

Total capacity of the tank = 100 pounds

We're told that:
...the tank is FILLED to 75% of its capacity --> (.75)(100) = 75 pounds
...P pounds would fill 60% of the tank --> (.6)(100) = 60 pounds = P

We're asked to fill the tank (from 75 pounds up to 100 pounds), so we need 25 MORE pounds of water. Thus, we're looking for an answer that equals 25 when P=60. There's only one answer that matches...

Final Answer:

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Re: A tank is filled to 75% of its capacity with water  [#permalink]

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New post 28 Sep 2019, 18:44
EMPOWERgmatRichC wrote:
EMPOWERgmat PS Series:
Block 1, Question 2

A tank is filled to 75% of its capacity with water. If P pounds of water would fill 60% of the tank, then how many additional pounds of water, in terms of P, must be added to the tank to fill the current 75% up to 100%?

A. P/4
B. 2P/5
C. 5P/12
D. 14P/27
E. 20P/33


let x=pounds of water to fill tank
x/P=25/60→
x=5P/12
C
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Re: A tank is filled to 75% of its capacity with water  [#permalink]

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New post 29 Sep 2019, 06:43
EMPOWERgmatRichC wrote:
EMPOWERgmat PS Series:
Block 1, Question 2

A tank is filled to 75% of its capacity with water. If P pounds of water would fill 60% of the tank, then how many additional pounds of water, in terms of P, must be added to the tank to fill the current 75% up to 100%?

A. P/4
B. 2P/5
C. 5P/12
D. 14P/27
E. 20P/33


48 Hour Window To Win An $85 EMPOWERgmat Tuition Credit (1 Month Free!)
Share your explanation! The GMAT Club member with the most verified Kudos in total on the 5 question SC Block 1 question pack will win an $85 EMPOWERgmat tuition credit, which will entitle the winner to a full month of complete access to the EMPOWERgmat system. Even if you're not sure about your answer or your rationale, share your explanation to help boost your learning and earn a chance to win.

To be eligible, your explanation must be submitted within the 48 hour window after this post was created and should explain your reasoning why the answer you chose is correct

The OA and official explanation will be held until the 48 hour window has lapsed.


Let Capacity of tank of tank is 100
then P=60 as it is 60% of capacity of tank
Therefore 25 units more must be added to tank to fill it from 75 to 100.

Using options and value of P=60

A. 60/4 = 15 Incorrect
B. 120/5 = 24 Incorrect
C. 300/12 = 25 Correct
D. 14x60/27 Incorrect
E. 20x60/33 Incorrect

C is correct
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A tank is filled to 75% of its capacity with water  [#permalink]

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New post 29 Sep 2019, 07:40
P fills 60%
=> P/4 will fill 15%
and P/6 will fill 10%

=> P/4 + P/6 will fill 15%+10%
=> 5P/12 will fill 25%
Answer (C)
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A tank is filled to 75% of its capacity with water   [#permalink] 29 Sep 2019, 07:40
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