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A tank is filled with x pounds of wheat. The tank has a hole
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17 Sep 2018, 20:35
17 Sep 2018, 20:35
Expert Reply
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Question Stats:
75% (00:46) correct
24% (00:51) wrong based on 144 sessions
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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.
Re: A tank is filled with x pounds of wheat. The tank has a hole
[#permalink]
17 Sep 2018, 21:57
17 Sep 2018, 21:57
2
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.
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.
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
Re: A tank is filled with x pounds of wheat. The tank has a hole
[#permalink]
17 Nov 2019, 04:39
17 Nov 2019, 04:39
2
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
