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

 It is currently 19 Oct 2019, 02:51 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

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.  Show Tags 00:00

Difficulty:   35% (medium)

Question Stats: 62% (01:28) correct 38% (01:25) wrong based on 34 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 _________________ Intern  B Joined: 23 May 2015 Posts: 24 Re: The net price of a certain article is$306 after successive discounts  [#permalink]

Show Tags

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 28 Feb 2018, 00:10. Last edited by chandan1988 on 28 Feb 2018, 00:15, edited 1 time in total. Senior SC Moderator V Joined: 22 May 2016 Posts: 3557 The net price of a certain article is$306 after successive discounts  [#permalink]

Show Tags

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

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

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. _________________ SC Butler has resumed! Get two SC questions to practice, whose links you can find by date, here. Instructions for living a life. Pay attention. Be astonished. Tell about it. -- Mary Oliver The net price of a certain article is$306 after successive discounts   [#permalink] 02 Mar 2018, 16:11
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

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