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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

A store owner decided to raise the price of a particular [#permalink]

Show Tags

11 Mar 2012, 00:04

1

This post received KUDOS

9

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

5% (low)

Question Stats:

79% (00:56) correct
21% (00:55) wrong based on 325 sessions

HideShow timer Statistics

I could figure this one out in about two seconds if I had a calculator, but I hear that's not allowed on the GMAT, so I need to know how to get this answer quick by hand. Thanks!

A store owner decided to raise the price of a particular item by exactly 10%. Of the following which is NOT the new price?

I could figure this one out in about two seconds if I had a calculator, but I hear that's not allowed on the GMAT, so I need to know how to get this answer quick by hand. Thanks!

A store owner decided to raise the price of a particular item by exactly 10%. Of the following which is NOT the new price?

A. $1.10 B. $8.80 C. $11.00 D. $57.30 E. $78.10

Old Price * 1.1 = New Price -> Old Price * 11 = New Price *10 --> the new price in cents must be a multiple of 11 (assuming that the new price in cents is an integer);

To check which price is a multiple of 11 and which is not you should use divisibility rule for 11: if you sum every second digit of a number and then subtract the sum of all other digits and the answer is divisible by 11, then the number is divisible by 11. Only answer choice D, 5730 cents, is not divisible by 11: (7+0)-(5+3)=-1, which is not divisible by 11

This question is still 'restricted' to the reality of 'dollars and cents.' While Answer D could be divided by 1.1, you would end up with a repeating decimal in the original price of that item. Regardless of how hard you look, you will never find a store that charges you a price that includes a repeating decimal.

Re: A store owner decided to raise the price of a particular [#permalink]

Show Tags

25 Nov 2013, 11:33

Stoneface wrote:

I could figure this one out in about two seconds if I had a calculator, but I hear that's not allowed on the GMAT, so I need to know how to get this answer quick by hand. Thanks!

A store owner decided to raise the price of a particular item by exactly 10%. Of the following which is NOT the new price?

A. $1.10 B. $8.80 C. $11.00 D. $57.30 E. $78.10

10% increase = 1.1x where x is the original amount. 1.1 = 11/10. So the answer must be a multiple of 11. Only answer choice that is not a multiple of 11 is D.

Re: A store owner decided to raise the price of a particular [#permalink]

Show Tags

18 Dec 2013, 04:55

jlgdr wrote:

Stoneface wrote:

I could figure this one out in about two seconds if I had a calculator, but I hear that's not allowed on the GMAT, so I need to know how to get this answer quick by hand. Thanks!

A store owner decided to raise the price of a particular item by exactly 10%. Of the following which is NOT the new price?

A. $1.10 B. $8.80 C. $11.00 D. $57.30 E. $78.10

10% increase = 1.1x where x is the original amount. 1.1 = 11/10. So the answer must be a multiple of 11. Only answer choice that is not a multiple of 11 is D.

Hence D

Hope it helps! Cheers J

A 1 * 1.1 = 1.10 $ B 8 * 1.1 = 8.80 $ C 10* 1.1 = 11 $ D - strange Number E 71 * 1.1 = 78.1 $

since D is the only answer, where I couldn't calculate the percents right away, I chose D.

BUT if the store owner had strange prices like 52.09 $ the new price would be 57.30 $. Is this a real GMAT question? Because it says nowhere that the original price has to be integer.

Re: A store owner decided to raise the price of a particular [#permalink]

Show Tags

12 Jan 2015, 14:12

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Re: A store owner decided to raise the price of a particular [#permalink]

Show Tags

24 Feb 2016, 18:02

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Re: A store owner decided to raise the price of a particular [#permalink]

Show Tags

14 Apr 2016, 04:45

Hey EMPOWERgmatRichC You are assuming here that the price is an INteger.. What if its NOT... My Guess is => THIS IS A WRONG QUESTION AS ALL OPTIONS ARE POSSIBLE..
_________________

Re: A store owner decided to raise the price of a particular [#permalink]

Show Tags

14 Apr 2016, 10:52

stonecold wrote:

Hey EMPOWERgmatRichC You are assuming here that the price is an INteger.. What if its NOT... My Guess is => THIS IS A WRONG QUESTION AS ALL OPTIONS ARE POSSIBLE..

Let price be $ 10 The store owner decided to raise the price of a particular item by exactly 10%, so the new price must be 110 *10 /100 =>11

So, The new price must be a multiple of 11

From the given options check for all the multiples of 11

Test of divisibility of 11 is

" if the difference of the sum of digits at odd places and the sum of its digits at even places, is either 0 or divisible by 11, then clearly the number is divisible by 11."

A. $1.10 B. $8.80 C. $11.00

By a quick glance even a 2nd grader can eliminate options A,B and C , because they are all divisible by 11 , let with only 2 options check for the divisibility rule for options D and E

D. $57.30

Sum of even digits is 5+3 = 8 Sum of odd digits is 7 +0 = 7

Difference of the even and odd digits is 8 - 7 = 1 ; not divisible by 11

Hence this is our answer.

E. $78.10

Further inspection is not required since we have already found out the answer at (D)

stonecoldNo question of treating the number as integers / not take it as it is given in the question stem. _________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

Re: A store owner decided to raise the price of a particular [#permalink]

Show Tags

14 Apr 2016, 10:56

Abhishek009 wrote:

stonecold wrote:

Hey EMPOWERgmatRichC You are assuming here that the price is an INteger.. What if its NOT... My Guess is => THIS IS A WRONG QUESTION AS ALL OPTIONS ARE POSSIBLE..

Let price be $ 10 The store owner decided to raise the price of a particular item by exactly 10%, so the new price must be 110 *10 /100 =>11

So, The new price must be a multiple of 11

From the given options check for all the multiples of 11

Test of divisibility of 11 is

" if the difference of the sum of digits at odd places and the sum of its digits at even places, is either 0 or divisible by 11, then clearly the number is divisible by 11."

A. $1.10 B. $8.80 C. $11.00

By a quick glance even a 2nd grader can eliminate options A,B and C , because they are all divisible by 11 , let with only 2 options check for the divisibility rule for options D and E

D. $57.30

Sum of even digits is 5+3 = 8 Sum of odd digits is 7 +0 = 7

Difference of the even and odd digits is 8 - 7 = 1 ; not divisible by 11

Hence this is our answer.

E. $78.10

Further inspection is not required since we have already found out the answer at (D)

stonecoldNo question of treating the number as integers / not take it as it is given in the question stem.

Completely DISAGREE For non integers every answer works..

A store owner decided to raise the price of a particular [#permalink]

Show Tags

14 Apr 2016, 11:20

Yes..Abhishek009 But the Question is Which of the following Cannot be the value of x hence we cannot say which one. x needs to be an integer here P.S - We can play along all day .. Every value is valid unless stated otherwise CC :- Vyshak _________________