GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 23 Jan 2019, 12:09

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • Key Strategies to Master GMAT SC

     January 26, 2019

     January 26, 2019

     07:00 AM PST

     09:00 AM PST

    Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.
  • Free GMAT Number Properties Webinar

     January 27, 2019

     January 27, 2019

     07:00 AM PST

     09:00 AM PST

    Attend this webinar to learn a structured approach to solve 700+ Number Properties question in less than 2 minutes.

The net price of a certain article is $306 after successive discounts

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 52431
The net price of a certain article is $306 after successive discounts  [#permalink]

Show Tags

New post 27 Feb 2018, 22:47
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

68% (01:19) correct 32% (01:21) wrong based on 30 sessions

HideShow timer Statistics

The net price of a certain article is $306 after successive discounts of 15% and 10% off the marked price. What is the marked price?

(A) $234.09

(B) $400

(C) $382.50

(D) $408

(E) None of these

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
User avatar
B
Joined: 23 May 2015
Posts: 24
Re: The net price of a certain article is $306 after successive discounts  [#permalink]

Show Tags

New post Updated on: 27 Feb 2018, 23:15
Net price given = $306
Discounts
D1= 15% D2= 10%

Marked price be M
M*(1-D1)*(1-D2 )= 306
M = 306/(0.85*0.9)
= 400

Answer should be B

To win the Game , Be in the Game
Please give Kudos for right Answers
_________________

PLEASE PRESS KUDOS FOR CORRECT ANSWERS AND IF IT HELPS :-)


Originally posted by chandan1988 on 27 Feb 2018, 23:10.
Last edited by chandan1988 on 27 Feb 2018, 23:15, edited 1 time in total.
Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 2373
The net price of a certain article is $306 after successive discounts  [#permalink]

Show Tags

New post 02 Mar 2018, 15:11
Bunuel wrote:
The net price of a certain article is $306 after successive discounts of 15% and 10% off the marked price. What is the marked price?

(A) $234.09

(B) $400

(C) $382.50

(D) $408

(E) None of these

With successive discounts on the same item, multiply the multipliers.
P = Original price
$306 = (% decrease)*(% decrease) * P

\($306=(.85)(.9)P\)
\($306 = .765P\)
\(P =\frac{$306}{.765}=\)
\(P = $400\)


ANSWER B

The arithmetic with decimals is lengthy.
Alternatives:
1) Try fractions, and reduce them.
$306 = (fraction)*P
15 percent discount = \(.85=\frac{85}{100}=\frac{17}{20}\)
10 percent discount = \(.90=\frac{90}{100}=\frac{18}{20}\)

\($306 =(\frac{17}{20}*\frac{18}{20})P=(\frac{306}{400})P\)

\($306=\frac{306}{400} P\)
\(P=(\frac{400}{306})*($306)= $400\)


ANSWER B

2) Use a shortcut formula* and estimate. With two successive percent changes:
A = first decrease
B = second decrease
We can find total decrease with this shortcut:

\(A + B + \frac{(A*B)}{100}\)

\(-15 +(-10)+\frac{(-15)*(-10)}{100}\)

\(-25 +\frac{150}{100}= -25 + 1.5= -23.5\)
%

23.5% is a little less than 25% = \(\frac{1}{4}\)
\(1 -\frac{1}{4}^{-}=\frac{3}{4}^{+}\)

The discounted price will be a little higher than \(\frac{3}{4}\) of the original.

Answers: $306 \(\approx{\frac{3}{4}}\) of Answers B and D.
Which one? B) $400, would be
\(\frac{$306}{400}=\frac{300}{400}+\frac{6}{400} >\frac{3}{4}\)
-- but not greater by much. Perfect.

ANSWER B

Check D. We do NOT want an exact match: \(\frac{3}{4}*408=306\). That's exact. INCORRECT.

*See VeritasPrepKarishma , Successive Percent Changes (scroll down). I cannot get the precise link to copy properly.
_________________

Sometimes at night I would sleep open-eyed underneath a sky dripping with stars.
I was alive then.

—Albert Camus

GMAT Club Bot
The net price of a certain article is $306 after successive discounts &nbs [#permalink] 02 Mar 2018, 15:11
Display posts from previous: Sort by

The net price of a certain article is $306 after successive discounts

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


cron
Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.