May 20 10:00 PM PDT  11:00 PM PDT Practice the one most important Quant section  Integer Properties, and rapidly improve your skills. May 24 10:00 PM PDT  11:00 PM PDT Join a FREE 1day workshop and learn how to ace the GMAT while keeping your fulltime job. Limited for the first 99 registrants. May 25 07:00 AM PDT  09:00 AM PDT Attend this webinar and master GMAT SC in 10 days by learning how meaning and logic can help you tackle 700+ level SC questions with ease. May 27 01:00 AM PDT  11:59 PM PDT All GMAT Club Tests are free and open on May 27th for Memorial Day!
Author 
Message 
TAGS:

Hide Tags

Magoosh GMAT Instructor
Joined: 28 Dec 2011
Posts: 4485

Before January, the price of a dress was D and the price of a matching
[#permalink]
Show Tags
31 Dec 2014, 11:53
Question Stats:
79% (02:36) correct 21% (03:03) wrong based on 214 sessions
HideShow timer Statistics
Before January, the price of a dress was D and the price of a matching pair of shoes was H. In January, the price of the dress increased by 40% and the price of the shoes increased by 50%. In March, Roberta bought both items with a 30% discount. If D = 5H, which of the following represents the amount that Roberta paid? (A) D + 40 (B) D + H – 1 (C) D + 2H (D) 5.95H (E) 1.21DThis is an example of a problem with variables in the answer choices. What is the best way to approach these: a fully algebraic approach, or plugging in numbers? For a detailed discussion of these questions, with example solutions, see: https://magoosh.com/gmat/2014/gmatprac ... rchoices/Mike
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
Mike McGarry Magoosh Test PrepEducation is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)



Manager
Joined: 13 Oct 2013
Posts: 136
Concentration: Strategy, Entrepreneurship

Re: Before January, the price of a dress was D and the price of a matching
[#permalink]
Show Tags
31 Dec 2014, 13:31
Ans Is D : 5.95H before Discount price was: 1.4D+1.5H After Discount: 1.4D +1.5H.42D.45H substitute D=5H final value: 5.95H mikemcgarry wrote: Before January, the price of a dress was D and the price of a matching pair of shoes was H. In January, the price of the dress increased by 40% and the price of the shoes increased by 50%. In March, Roberta bought both items with a 30% discount. If D = 5H, which of the following represents the amount that Roberta paid? (A) D + 40 (B) D + H – 1 (C) D + 2H (D) 5.95H (E) 1.21DThis is an example of a problem with variables in the answer choices. What is the best way to approach these: a fully algebraic approach, or plugging in numbers? For a detailed discussion of these questions, with example solutions, see: https://magoosh.com/gmat/2014/gmatprac ... rchoices/Mike
_________________
 Kindly press +1 Kudos if my post helped you in any way



SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1812
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)

Re: Before January, the price of a dress was D and the price of a matching
[#permalink]
Show Tags
31 Dec 2014, 19:22
Answer = (D) 5.95H ............................. Dress ............... Shoes Initial Price ............. d ........................... h January ................. \(\frac{140d}{100}\) ................. \(\frac{150h}{100}\) Total price \(= 140 * \frac{5h}{100} + \frac{150h}{100} = \frac{850h}{100}\) 30% discount, means purchased at 70% price \(= \frac{850h}{100} * \frac{70}{100} = 5.95h\)
_________________
Kindly press "+1 Kudos" to appreciate



Senior SC Moderator
Joined: 22 May 2016
Posts: 2742

Before January, the price of a dress was D and the price of a matching
[#permalink]
Show Tags
26 Sep 2017, 14:53
mikemcgarry wrote: Before January, the price of a dress was D and the price of a matching pair of shoes was H. In January, the price of the dress increased by 40% and the price of the shoes increased by 50%. In March, Roberta bought both items with a 30% discount. If D = 5H, which of the following represents the amount that Roberta paid? (A) D + 40 (B) D + H – 1 (C) D + 2H (D) 5.95H (E) 1.21DThis is an example of a problem with variables in the answer choices. What is the best way to approach these: a fully algebraic approach, or plugging in numbers? For a detailed discussion of these questions, with example solutions, see: https://magoosh.com/gmat/2014/gmatprac ... rchoices/Mike With one variable: H = price of shoes D = 5H = price of dress So we have H and 5H 1) After the price increase Shoe price increases 50%: 1.5H Dress price increases 40%: 1.4(5H) = 7H 2) After the discount She pays .70 of the price for both (30 percent discount) Price for both: 1.5H + 7H = 8.5H So with a 30 percent discount, she pays .70 of 8.5H I broke up the 8.5 and multiplied each part by .7 \(.7 * 8 = 5.6[m]H [m].7 * .5 = .35\)H Add: 5.6H + .35H = 5.95H Answer D I found out the hard way that this one works better with algebra than it did with plugging in. Two choices matched the numbers I had selected. I switched, used algebra, and it was faster.
_________________
Listen, are you breathing just a little, and calling it a life?  Mary Oliver
For practice SC questions go to SC Butler, here.Please DO NOT write short answers in your verbal posts! Such answers will be deleted.



Manager
Joined: 20 Jun 2017
Posts: 92

Before January, the price of a dress was D and the price of a matching
[#permalink]
Show Tags
02 Sep 2018, 01:22
Price before January Dress  D Pair of shoes  H
Price in January Dress  1.4D Pair of shoes  1.5H
Total price = 1.4D + 1.5H
Given that D = 5H
hence, Total price = (1.4*5*H ) + 1.5H
Total price = 8.5H
but this was purchased at 30* discount hence total amount paid = 8.5*0.7 *H = 5.95H



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 6160
Location: United States (CA)

Re: Before January, the price of a dress was D and the price of a matching
[#permalink]
Show Tags
27 Feb 2019, 10:20
mikemcgarry wrote: Before January, the price of a dress was D and the price of a matching pair of shoes was H. In January, the price of the dress increased by 40% and the price of the shoes increased by 50%. In March, Roberta bought both items with a 30% discount. If D = 5H, which of the following represents the amount that Roberta paid? (A) D + 40 (B) D + H – 1 (C) D + 2H (D) 5.95H (E) 1.21D The new price of the dress is 1.4D, and the new price of the shoes is 1.5H. When purchased at a 30% discount, the prices are 0.7 x 1.4D = 0.98D and 0.7 x 1.5H = 1.05H. Since D = 5H, we have: 0.98(5H) + 1.05H 4.9H + 1.05H = 5.95H Answer: D
_________________
5star rated online GMAT quant self study course See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews If you find one of my posts helpful, please take a moment to click on the "Kudos" button.




Re: Before January, the price of a dress was D and the price of a matching
[#permalink]
27 Feb 2019, 10:20






