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

Question

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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Mo2men · Answer

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

Kinshook · Answer

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

Posted from my mobile device

EMPOWERgmatRichC · Answer

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:  C

GMAT assassins aren't born, they're made, 
Rich

gracie · Answer

let x=pounds of water to fill tank
x/P=25/60→
x=5P/12
C

QuantMadeEasy · Answer

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

shalinisin · Answer

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)

bumpbot · Answer

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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

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