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# A certain telescope X increases the visual range of a particular locat

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Math Expert
Joined: 02 Sep 2009
Posts: 51280
A certain telescope X increases the visual range of a particular locat  [#permalink]

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28 Jun 2017, 01:03
00:00

Difficulty:

65% (hard)

Question Stats:

41% (01:52) correct 59% (01:11) wrong based on 39 sessions

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A certain telescope X increases the visual range of a particular location from 90 kilometers to 270 kilometers. Another telescope Y increases the visual range of another location from 45 kilometers to 180 kilometers. By what percent is the percent increase in visual range using Y more than that obtained using X?

(A) 33
(B) 50
(C) 75
(D) 100
(E) 150

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Joined: 28 May 2017
Posts: 285
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A certain telescope X increases the visual range of a particular locat  [#permalink]

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28 Jun 2017, 02:43
3
Bunuel wrote:
A certain telescope X increases the visual range of a particular location from 90 kilometers to 270 kilometers. Another telescope Y increases the visual range of another location from 45 kilometers to 180 kilometers. By what percent is the percent increase in visual range using Y more than that obtained using X?

(A) 33
(B) 50
(C) 75
(D) 100
(E) 150

Percent Increase in Visual Range by X = 180/90 = 200%
Percent Increase in Visual Range by Y = 135/45 = 300%

Kindly note that question is asking CHANGE in PERCENT INCREASE and not CHANGE in PERCENT

Question is ---Y is how much greater than X
Change = $$\frac{(300-200)}{200}$$
= 50%

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Re: A certain telescope X increases the visual range of a particular locat  [#permalink]

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28 Jun 2017, 03:00
Telescope X: 90 + 180 = 270. So, increase = 200%.
Telescope Y: 45 + 135 = 180. So, increase = 300%.

Percentage increase in Y is more than percentage increase in X by 300-200/200 = 50%. Ans - B.
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Re: A certain telescope X increases the visual range of a particular locat  [#permalink]

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16 Aug 2018, 02:53
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Re: A certain telescope X increases the visual range of a particular locat &nbs [#permalink] 16 Aug 2018, 02:53
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