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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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74% (00:44) correct 26% (00:46) wrong based on 50 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] New post 17 Nov 2019, 04:39
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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.


Lets, think the tank has 100 pounds,

So, First Day it lost 1% means 1% of 100 = 1 ; (we have remaining now 99)

Second Day it lost 1% means 1% of 99 = .99 (we have remaining now 98.01)

Third day it lost again 1% means 1% of 98.01 = .9801

NOw Added this we will get 1 + .99 + .9801 = 2.9701 % which is less than 3% . Answer B
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Re: A tank is filled with x pounds of wheat. The tank has a hole [#permalink] New post 17 Nov 2019, 12:03
If you don't want to do all the calculations, remember that you can't just have a percent, you have to have a percent OF something. If each day you are taking a percent of something smaller than the previous day, the amount is less.

So it's going to be less than 3%.
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Re: A tank is filled with x pounds of wheat. The tank has a hole [#permalink] New post 17 Nov 2019, 12:36
Chakolate wrote:
If you don't want to do all the calculations, remember that you can't just have a percent, you have to have a percent OF something. If each day you are taking a percent of something smaller than the previous day, the amount is less.

So it's going to be less than 3%.


IF you do not calculate it, you will never ever know how much it reduces, less than 3% or less than 4%. Be careful on your assumption.
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Re: A tank is filled with x pounds of wheat. The tank has a hole [#permalink] New post 17 Nov 2019, 12:44
huda wrote:
Chakolate wrote:
If you don't want to do all the calculations, remember that you can't just have a percent, you have to have a percent OF something. If each day you are taking a percent of something smaller than the previous day, the amount is less.

So it's going to be less than 3%.


IF you do not calculate it, you will never ever know how much it reduces, less than 3% or less than 4%. Be careful on your assumption.



The max it can be is on the first day, 1% of the full tank. Thus each of the next two days are less than that, so less than 3%. No calculation required.
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Re: A tank is filled with x pounds of wheat. The tank has a hole [#permalink] New post 19 Nov 2019, 10:16
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I believe the question is badly formulated.
It is said that each day we lose 1%. So in 3 days we loose 3%.
If the question stated that each day we lose 1% of the content left at the beginning of each day then I agree with the answer and explanations given.
Am I getting this wrong?
Re: A tank is filled with x pounds of wheat. The tank has a hole   [#permalink] 19 Nov 2019, 10:16
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A tank is filled with x pounds of wheat. The tank has a hole

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