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The length of a rectangle A is decreased by 40% and width increased by
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30 Mar 2023, 09:47
30 Mar 2023, 09:47
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Question Stats:
70% (00:51) correct
29% (01:14) wrong based on 41 sessions
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The length of a rectangle A is decreased by 40% and width increased by 50% to form a rectangle B
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
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\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
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Quantity A |
Quantity B |
Area of rectangle A |
Area of rectangle B |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE PERCENT
Re: The length of a rectangle A is decreased by 40% and width increased by
[#permalink]
01 May 2023, 12:56
01 May 2023, 12:56
1
Expert Reply
OE
We know that the area of rectangle = length × width
Given length is decreased by 40% that means the area is decreased by 40%
And width is increased by 50% that means the area is increased by 50%
Now, we know that if something changes by 𝑥% and then changes by 𝑦% then the
net percent change is given by
Net percent change = (𝑥 + 𝑦 +𝑥𝑦/100) %
So, the net percent change in the area of A = (- 40 + 50 +(−40)(50)/100) %
(negative sign indicates decrease in value) = (10 – 20) % = - 10% i.e. 10 % decrease = 90% of the area of rectangle A
We know that the area of rectangle = length × width
Given length is decreased by 40% that means the area is decreased by 40%
And width is increased by 50% that means the area is increased by 50%
Now, we know that if something changes by 𝑥% and then changes by 𝑦% then the
net percent change is given by
Net percent change = (𝑥 + 𝑦 +𝑥𝑦/100) %
So, the net percent change in the area of A = (- 40 + 50 +(−40)(50)/100) %
(negative sign indicates decrease in value) = (10 – 20) % = - 10% i.e. 10 % decrease = 90% of the area of rectangle A
gmatclubot
Re: The length of a rectangle A is decreased by 40% and width increased by [#permalink]
01 May 2023, 12:56
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