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# If 1,500 is increased by 20%, and then reduced by y%

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If 1,500 is increased by 20%, and then reduced by y% [#permalink]

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20 Sep 2013, 17:20
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If 1,500 is increased by 20%, and then reduced by y%, yielding 1,080, what is y?

OA is
[Reveal] Spoiler:
40%

Last edited by Bunuel on 20 Sep 2013, 17:34, edited 1 time in total.
Edited the question.

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Re: If 1,500 is increased by 20%, and then reduced by y% [#permalink]

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20 Sep 2013, 17:26
Expert's post
1
This post was
BOOKMARKED
jlgdr wrote:
If 1,500 is increased by 20%, and then reduced by y%, yielding 1,080, what is y?

OA is
[Reveal] Spoiler:
40%

1,500*1.2 = 1,800.

1,800(1 - y/100) = 1,080 --> (1 - y/100) = 0.6 --> y = 40%.
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Re: If 1,500 is increased by 20%, and then reduced by y% [#permalink]

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21 Mar 2017, 21:21
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Re: If 1,500 is increased by 20%, and then reduced by y% [#permalink]

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21 Mar 2017, 23:33
1
KUDOS
Expert's post
jlgdr wrote:
If 1,500 is increased by 20%, and then reduced by y%, yielding 1,080, what is y?

OA is
[Reveal] Spoiler:
40%

Using percent-fraction equivalents:

1500 * (6/5) * n = 1080

n = 1080/300*6 = 3/5

This is equivalent to a reduction of 40%. So y = 40

For more, check:
https://www.veritasprep.com/blog/2011/0 ... rcentages/
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Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Kudos [?]: 16936 [1], given: 230 Math Forum Moderator Status: QA & VA Forum Moderator Joined: 11 Jun 2011 Posts: 2991 Kudos [?]: 1053 [0], given: 325 Location: India GPA: 3.5 WE: Business Development (Commercial Banking) Re: If 1,500 is increased by 20%, and then reduced by y% [#permalink] ### Show Tags 22 Mar 2017, 07:11 1 This post was BOOKMARKED jlgdr wrote: If 1,500 is increased by 20%, and then reduced by y%, yielding 1,080, what is y? OA is [Reveal] Spoiler: 40% $$\frac{1500*( 100 + 20 )}{100} * \frac{( 100 - y )}{100} = 1080$$ Or, $$1800*\frac{( 100 - y )}{100} = 1080$$ Or, $$18( 100 - y ) = 1080$$ Or, $$2( 100 - y ) = 120$$ Or, $$100 - y = 60$$ So, $$y = 40$$ _________________ Thanks and Regards Abhishek.... PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only ) Kudos [?]: 1053 [0], given: 325 Target Test Prep Representative Status: Head GMAT Instructor Affiliations: Target Test Prep Joined: 04 Mar 2011 Posts: 1414 Kudos [?]: 762 [1], given: 5 Re: If 1,500 is increased by 20%, and then reduced by y% [#permalink] ### Show Tags 23 Mar 2017, 16:59 1 This post received KUDOS Expert's post jlgdr wrote: If 1,500 is increased by 20%, and then reduced by y%, yielding 1,080, what is y? OA is [Reveal] Spoiler: 40% If 1,500 is increased by 20%, we have: 1,500 x 1.2 = 1,800 If 1,800 is reduced by y% to give us 1,080, we have: (1 - y/100)(1800) = 1,080 1,800 - 18y = 1,080 720 = 18y y = 40 _________________ Jeffery Miller Head of GMAT Instruction GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions Kudos [?]: 762 [1], given: 5 Director Joined: 04 Dec 2015 Posts: 696 Kudos [?]: 274 [0], given: 261 Location: India Concentration: Technology, Strategy Schools: ISB '19, IIMA , IIMB, XLRI WE: Information Technology (Consulting) If 1,500 is increased by 20%, and then reduced by y% [#permalink] ### Show Tags 17 May 2017, 15:55 If 1,500 is increased by 20%, and then reduced by y%, yielding 1,080, what is y? 1500 increased by 20% = 120% of 1500 = $$\frac{120}{100}$$ x 1500 = 1800 1800 decreased by y% = (100-y) % of 1800 = $$\frac{(100-y)}{100}$$ x 1800 = (100-y) x 18 = 1080 100-y = $$\frac{1080}{18}$$ = 60 y = 100 - 60 = 40 y = 40% _________________ Kindly press "+1 Kudos" to appreciate Kudos [?]: 274 [0], given: 261 If 1,500 is increased by 20%, and then reduced by y% [#permalink] 17 May 2017, 15:55 Similar topics Replies Last post Similar Topics: 5 Ratio of two numbers x and y is 3:5. If x is increased by 20% and y is 5 06 Jul 2017, 17:39 Stella paid$1,500 for a computer after receiving a 20 percent discoun 2 30 May 2017, 10:35
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