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# A shirt that costs k dollars is increased by 30%, then by an additiona

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Math Expert
Joined: 02 Sep 2009
Posts: 55732
A shirt that costs k dollars is increased by 30%, then by an additiona  [#permalink]

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19 Aug 2018, 09:42
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5% (low)

Question Stats:

83% (00:54) correct 17% (01:09) wrong based on 67 sessions

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A shirt that costs k dollars is increased by 30%, then by an additional 50%. What is the new price of the shirt in dollars, in terms of k?

(A) 0.2k
(B) 0.35k
(C) 1.15k
(D) 1.8k
(E) 1.95k

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Joined: 01 Oct 2017
Posts: 1009
WE: Supply Chain Management (Energy and Utilities)
Re: A shirt that costs k dollars is increased by 30%, then by an additiona  [#permalink]

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19 Aug 2018, 11:50
Bunuel wrote:
A shirt that costs k dollars is increased by 30%, then by an additional 50%. What is the new price of the shirt in dollars, in terms of k?

(A) 0.2k
(B) 0.35k
(C) 1.15k
(D) 1.8k
(E) 1.95k

Original cost=$k Price of the shirt is increased by 30%. So, new price of the shirt=$$k(1+\frac{30}{100})=1.3k$$ Again, Price of the shirt is increased by an additional 50%, So, new price of the shirt=$$1.3k(1+\frac{50}{100})=1.3k*1.5=1.95k$$ Ans. (E) _________________ Regards, PKN Rise above the storm, you will find the sunshine Intern Joined: 17 Aug 2018 Posts: 18 Re: A shirt that costs k dollars is increased by 30%, then by an additiona [#permalink] ### Show Tags 19 Aug 2018, 15:55 =k*(1.30)(1.5) = 1.95k Posted from my mobile device Board of Directors Status: QA & VA Forum Moderator Joined: 11 Jun 2011 Posts: 4504 Location: India GPA: 3.5 WE: Business Development (Commercial Banking) Re: A shirt that costs k dollars is increased by 30%, then by an additiona [#permalink] ### Show Tags 20 Aug 2018, 07:16 Bunuel wrote: A shirt that costs k dollars is increased by 30%, then by an additional 50%. What is the new price of the shirt in dollars, in terms of k? (A) 0.2k (B) 0.35k (C) 1.15k (D) 1.8k (E) 1.95k $$30 + 50 + \frac{30*50}{100}$$ $$= 80 + 15$$ So, There is a net Increase in value by 95%, thus the new price of the shirt in dollar terms is 1.95k, Answer must be (E) _________________ 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 ) Manager Joined: 20 Jul 2018 Posts: 88 GPA: 2.87 Re: A shirt that costs k dollars is increased by 30%, then by an additiona [#permalink] ### Show Tags 20 Aug 2018, 08:59 increased by 30%=1.3k increased by further 50%=1.5*1.3k=1.95k _________________ Hasnain Afzal "When you wanna succeed as bad as you wanna breathe, then you will be successful." -Eric Thomas CEO Joined: 12 Sep 2015 Posts: 3786 Location: Canada Re: A shirt that costs k dollars is increased by 30%, then by an additiona [#permalink] ### Show Tags 24 Jan 2019, 06:51 Top Contributor Bunuel wrote: A shirt that costs k dollars is increased by 30%, then by an additional 50%. What is the new price of the shirt in dollars, in terms of k? (A) 0.2k (B) 0.35k (C) 1.15k (D) 1.8k (E) 1.95k A shirt that costs k dollars is increased by 30%, So, the new coast = k + (30% of k) = k + 0.3k = 1.3k ASIDE So, increasing a value by 30% is the same as multiplying that value by 1.3 Similarly, increasing a value by 20% is the same as multiplying that value by 1.2 And increasing a value by 78% is the same as multiplying that value by 1.78 etc The price is increased by an additional 50%. New price = (1.5)(1.3k) = 1.95k Answer: E Cheers, Brent _________________ Test confidently with gmatprepnow.com EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 14353 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: A shirt that costs k dollars is increased by 30%, then by an additiona [#permalink] ### Show Tags 26 Jan 2019, 13:39 Hi All, We're told that the price of a shirt that costs K dollars is increased by 30%, then that price is increased by an additional 50%. We're asked for the final price of the shirt in dollars, in terms of K. This question can be solved in a number of different ways - including Algebraically and by TESTing VALUES. Based on the answer choices though, you can actually answer this question with just a little logic. Increasing a value by 30% and then increasing that new overall value by 50% is a concept that's sometimes referred to as "interest on top of interest." In simple terms, it means that the overall increase will be greater than the sum of the two individual increases (since the second increase will be based on the prior increased-value - and not the starting value). Here, that would mean that the overall increase would be GREATER than 30+50 = 80%. There's only one answer that matches... Final Answer: GMAT assassins aren't born, they're made, Rich _________________ 760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com *****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***** # Rich Cohen Co-Founder & GMAT Assassin Special Offer: Save$75 + GMAT Club Tests Free
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Re: A shirt that costs k dollars is increased by 30%, then by an additiona  [#permalink]

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27 Jan 2019, 05:47
Bunuel wrote:
A shirt that costs k dollars is increased by 30%, then by an additional 50%. What is the new price of the shirt in dollars, in terms of k?

(A) 0.2k
(B) 0.35k
(C) 1.15k
(D) 1.8k
(E) 1.95k

Let the k= 1000.........price with 30% increase = 1300...............Price with 50% increase= 1950

It is obvious that one answer fits 1.95K= 1950

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Re: A shirt that costs k dollars is increased by 30%, then by an additiona  [#permalink]

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01 Feb 2019, 18:32
Bunuel wrote:
A shirt that costs k dollars is increased by 30%, then by an additional 50%. What is the new price of the shirt in dollars, in terms of k?

(A) 0.2k
(B) 0.35k
(C) 1.15k
(D) 1.8k
(E) 1.95k

The new price of the shirt is k x 1.3 x 1.5 = 1.95k.

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Re: A shirt that costs k dollars is increased by 30%, then by an additiona   [#permalink] 01 Feb 2019, 18:32
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