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A tank is filled with x pounds of wheat. The tank has a hole

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A tank is filled with x pounds of wheat. The tank has a hole [#permalink] New post 17 Sep 2018, 20:35
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Question Stats:

76% (00:27) correct 23% (01:02) wrong based on 17 sessions
A tank is filled with x pounds of wheat. The tank has a hole at the bottom and each day 1% of the wheat is lost from the tank through the hole.

Quantity A
Quantity B
Percentage of wheat lost in the
first three days
3%


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: A tank is filled with x pounds of wheat. The tank has a hole [#permalink] New post 17 Sep 2018, 21:57
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Carcass wrote:
A tank is filled with x pounds of wheat. The tank has a hole at the bottom and each day 1% of the wheat is lost from the tank through the hole.

Quantity A
Quantity B
Percentage of wheat lost in the
first three days
3%


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.



In this type of question since the deduction was for 3 times,

so the percentage of loss in first 3 times at 1% loss will be always less than 3% or percentage loss in 4times at 1% loss < 4%

Now
Percentage of wheat lost in the first three days = \(\frac{{x - (0.99 * 0.99 * 0.99)x}}{x} *100\) = 2.9

Hence QTYA < QTY B

Option is B
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Re: A tank is filled with x pounds of wheat. The tank has a hole   [#permalink] 17 Sep 2018, 21:57
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A tank is filled with x pounds of wheat. The tank has a hole

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