It is currently 18 Mar 2018, 18:23

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

### Show Tags

15 Oct 2017, 21:52
00:00

Difficulty:

35% (medium)

Question Stats:

71% (01:42) correct 29% (01:57) wrong based on 34 sessions

### HideShow timer Statistics

A pen was sold at 10% loss. If the selling price was $6 more then the seller could have made a profit of 5%. What was the purchase price of the pen? (A) 45 (B) 40 (C) 30 (D) 25 (E) None of these. [Reveal] Spoiler: OA Last edited by Bunuel on 15 Oct 2017, 21:57, edited 1 time in total. Renamed the topic. Math Expert Joined: 02 Aug 2009 Posts: 5720 Re: A pen was sold at 10% loss. If the selling price was$6 more then the [#permalink]

### Show Tags

15 Oct 2017, 22:42
1
KUDOS
Expert's post
RockySinha wrote:
A pen was sold at 10% loss. If the selling price was $6 more then the seller could have made a profit of 5%. What was the purchase price of the pen? (A) 45 (B) 40 (C) 30 (D) 25 (E) None of these. Hi... You can make the Q very simple if you realize that both loss% and profit % are on cost or purchase price.. So an addition of$6 gets it from -10% to +5%, so a change of 15% in purchase price (P).
So 15%of P=6.......
P=$$6*\frac{100}{15}=40$$

B
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

GMAT online Tutor

VP
Joined: 22 May 2016
Posts: 1420
A pen was sold at 10% loss. If the selling price was $6 more then the [#permalink] ### Show Tags 16 Oct 2017, 04:51 1 This post was BOOKMARKED RockySinha wrote: A pen was sold at 10% loss. If the selling price was$6 more then the seller could have made a profit of 5%. What was the purchase price of the pen?

(A) 45
(B) 40
(C) 30
(D) 25
(E) None of these.

Algebra
Let purchase price (cost) = P

A pen sold at 10 percent loss means it was sold at 90 percent of P = .90P

If sold at 5 percent profit = 1.05P

It was sold at .90P
IF sold for $6 more: 90P + 6... It would make a 5% profit: 1.05P .90P + 6 = 1.05P 6 = .15P P = $$\frac{6}{.15}= 40$$ ANSWER B Answer choices Start with C) 30 At a 10 percent loss, it sold for: ($30)(.9)= $27 IF sold at 5 percent profit: (1.05)($30) = $31.50 The difference between loss price and 5% profit price should be$6:
$31.50 - 27 =$4.50

Too low. That means the base, 30, from which percentages are drawn, is too low (greater number yield greater difference between percentages).

But: $4.50 is 3/4 of$6.00.
$30 is 3/4 of$40.

Try B) 40

Sold at 10 percent loss:
(.90)($40) =$36

IF sold at 5 percent profit:
(1.05)($40) =$42

($42 -$36) = $6 That's the answer ANSWER B _________________ At the still point, there the dance is. -- T.S. Eliot Formerly genxer123 Target Test Prep Representative Status: Founder & CEO Affiliations: Target Test Prep Joined: 14 Oct 2015 Posts: 2293 Location: United States (CA) Re: A pen was sold at 10% loss. If the selling price was$6 more then the [#permalink]

### Show Tags

17 Oct 2017, 11:42
Expert's post
1
This post was
BOOKMARKED
RockySinha wrote:
A pen was sold at 10% loss. If the selling price was $6 more then the seller could have made a profit of 5%. What was the purchase price of the pen? (A) 45 (B) 40 (C) 30 (D) 25 (E) None of these. We can let r = revenue and c = cost. Since the pen was sold at a 10% loss: r - c = -0.1c r = 0.9c Since if the selling price was$6 more then the seller could have made a profit of 5%:

r + 6 - c = 0.05c

r + 6 = 1.05c

Thus:

0.9c + 6 = 1.05c

6 = 0.15c

40 = c

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: A pen was sold at 10% loss. If the selling price was $6 more then the [#permalink] 17 Oct 2017, 11:42 Display posts from previous: Sort by # A pen was sold at 10% loss. If the selling price was$6 more then the

 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®.