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# If the width of a rectangular plot is increased by one-fourth and the

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Math Expert
Joined: 02 Sep 2009
Posts: 53063
If the width of a rectangular plot is increased by one-fourth and the  [#permalink]

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04 Sep 2018, 23:28
00:00

Difficulty:

15% (low)

Question Stats:

100% (01:14) correct 0% (00:00) wrong based on 29 sessions

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If the width of a rectangular plot is increased by one-fourth and the length is decreased by one-fifth, then the area will be increased by

A. 0%
B. 5%
C 10%
D. 12%
E. 15%

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Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 958
WE: Supply Chain Management (Energy and Utilities)
Re: If the width of a rectangular plot is increased by one-fourth and the  [#permalink]

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05 Sep 2018, 00:54
Bunuel wrote:
If the width of a rectangular plot is increased by one-fourth and the length is decreased by one-fifth, then the area will be increased by

A. 0%
B. 5%
C 10%
D. 12%
E. 15%

Increases width=$$w(1+\frac{1}{4})=\frac{5}{4}w$$
Decreased length=$$l(1-\frac{1}{5})=\frac{4}{5}l$$

New Area=$$\frac{5}{4}w*\frac{4}{5}l$$=lw

Change in area=0%

Ans. (A)
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PKN

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Intern
Joined: 18 Apr 2018
Posts: 22
Re: If the width of a rectangular plot is increased by one-fourth and the  [#permalink]

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05 Sep 2018, 03:28
Let's test numbers here.

(1) Assuming the initial plot's length=10 and width=10, its area equals 10*10=100
(2) To increase the width by a fourth, we multiply 10*1.25 to yield a total of 12.5
(3) To decrease the length by a fifth, we multiply 10*0.8 to yield a total of 8
(4) We then calculate the area of the second plot, 12.5*8=100, which is the same as the initial plot!
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Re: If the width of a rectangular plot is increased by one-fourth and the  [#permalink]

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05 Sep 2018, 06:49
Bunuel wrote:
If the width of a rectangular plot is increased by one-fourth and the length is decreased by one-fifth, then the area will be increased by

A. 0%
B. 5%
C 10%
D. 12%
E. 15%

Let original Length be $$5$$ and Breadth be $$4$$ , So Area is $$20$$

Changed Dimension of the Rectangle are Length = $$4$$ and Breadth = $$5$$ , So Area = $$20$$

Since there is no change in area , the answer must be (A)

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Abhishek....

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Re: If the width of a rectangular plot is increased by one-fourth and the   [#permalink] 05 Sep 2018, 06:49
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