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Word problem

Expert replies
by nafishasan » Fri Feb 03, 2012 6:12 pm
A big container is 30% full with water. If 18 liters of water is added, the container becomes 3/4 full. What is the capacity of the big container?

A) 36 liters
B) 40 liters
C) 45 liters
D) 54 liters
E) 60 liters
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Source: — Problem Solving |

by Anurag@Gurome » Fri Feb 03, 2012 6:23 pm
nafishasan wrote:A big container is 30% full with water. If 18 liters of water is added, the container becomes 3/4 full. What is the capacity of the big container?

A) 36 liters
B) 40 liters
C) 45 liters
D) 54 liters
E) 60 liters
Let the capacity of the container = X liters
Then 0.30X + 18 = 3X/4
0.30X + 18 = 0.75X
18 = 0.45X
X = 40 liters

The correct answer is B.
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by GMATGuruNY » Fri Feb 03, 2012 7:12 pm
nafishasan wrote:A big container is 30% full with water. If 18 liters of water is added, the container becomes 3/4 full. What is the capacity of the big container?

A) 36 liters
B) 40 liters
C) 45 liters
D) 54 liters
E) 60 liters
We can plug in the answer choices, which represent the capacity of the container.
The correct answer must be a multiple of 4, since the container is 3/4 full after the 18 liters of water is added.
Eliminate C and D.

The added water raises the fullness level by 45% (from 30% to 75%.)
Thus, 18 liters is just a bit less than half the capacity of the container.
Only B is viable:
.45(40) = 18.

The correct answer is B.
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by ronnie1985 » Sat Feb 04, 2012 2:50 am
(B) 40 litres is answer. QED
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by pappueshwar » Sat Feb 04, 2012 6:51 am
hey guys,
why are the answers covered in black? i am unable to understand whats the answer


please dont do that
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,

by LalaB » Sun Feb 05, 2012 11:54 pm
first, it was 3/10 full. after adding 18 l it became 3/4 full
it means 3/4-3/10=9/20

9/20x=18

x=40

@pappueshwar

because it is the very secret info :) just kidding. it is a spoiler. just put your cursor on the black places,and you will see the content
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