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:

What number is 150 percent greater than 3? [#permalink]

Show Tags

26 Jun 2013, 17:55

1

This post received KUDOS

1

This post was BOOKMARKED

I know that this is an easy question but I need to solidify the mechanical processes correctly for answering these types of percent questions.

For every other question similar to this one, I simply multiplied by the number by the percent multiple. Example: What number is 25% greater than 40? I multiplied 40 by 1.25 and got 50. What number is 6% greater than 200? I multipled 200 by 1.06 and got 212. What number is 90% less than 180? I multiplied 180 by .1 and got 18.

As I was working on this question, I knew that multiplying 1.5 times 3 would yied 4.5 and that this did not make sense since 100% of 3 is 6. However, I cannot pinpoint why multiplying the 3 by the multiple 1.5 does not work in this case? Or is it simple coincidence that the multiple method worked in all other problems?

Re: What number is 150 percent greater than 3? [#permalink]

Show Tags

26 Jun 2013, 18:49

You kind of answered your own question I think...100% greater than 3 is 6, so 150% greater than 3 is 7.5. 150% of 3 is in fact 4.5 When you're doing these ratio/proportion type problems with percents that are asking for a "x percent greater" and x is over 100% then you have to add 100% to that number in order to take account for the number itself being 100% greater. You can also take 3*1.5 and just add it to your original number. When you take 3*1.5 you're in fact only finding a number 50% greater than 3. Hope that makes sense.

Re: What number is 150 percent greater than 3? [#permalink]

Show Tags

26 Jun 2013, 23:45

4

This post received KUDOS

Expert's post

Make sure you're distinguishing between the terms "percent of" and "percent greater than." Notice that in your post you said that "100% of 3 is 6." That should be "100% greater than 3 is 6."

"Percent of" indicates straight multiplication:

50% of 3 = .5*3 = 1.5 100% of 3 = 1*3 = 3

"Percent greater than" means to add the given percent to the original number. For "150% greater than 3," we can find 150% of 3 and add that to the original number:

150% of 3 = 1.5*3 = 4.5

4.5 + 3 = 7.5

Alternatively, as others have indicated, you can also just add 1 to your multiplier to represent the original number:

Re: What number is 150 percent greater than 3? [#permalink]

Show Tags

27 Jun 2013, 03:24

DmitryFarber wrote:

Make sure you're distinguishing between the terms "percent of" and "percent greater than." Notice that in your post you said that "100% of 3 is 6." That should be "100% greater than 3 is 6."

"Percent of" indicates straight multiplication:

50% of 3 = .5*3 = 1.5 100% of 3 = 1*3 = 3

"Percent greater than" means to add the given percent to the original number. For "150% greater than 3," we can find 150% of 3 and add that to the original number:

150% of 3 = 1.5*3 = 4.5

4.5 + 3 = 7.5

Alternatively, as others have indicated, you can also just add 1 to your multiplier to represent the original number:

Thanks Dmitry. ur explanation is crystal clear. I have a small doubt in the text "what number is 150% greater than 3" does it mean to add the orginal number "3"? i.e. 3+4.5?

Re: What number is 150 percent greater than 3? [#permalink]

Show Tags

27 Jun 2013, 10:30

2

This post received KUDOS

Expert's post

Yes. "percent greater than/less than" is always about how much more/less than the original number. "Percent of" is about how much of the original number.

30% of 10 = .3(10) = 3 80% of 5 = .8(5) = 4

30% greater than 10 = 10 + .3(10) = 10 + 3 = 13 80% less than 5 = 5 - .8(5) = 5 - 1 = 4

Now, for these latter problems (% greater/less than), we don't have to use addition/subtraction as above. We can add 1 or subtract from 1:

30% greater than 10 = (1+.3) * 10 = 1.3(10) = 13 80% less than 5 = (1-.8) * 5 = .2(5) = 1

This gets the same result, but it can be a little quicker. We can even use it if we have a variable:

x% less than 50 is 35. What is x?

Here, we can represent "x%" as "x/100."

50 - (x/100)(50) = 35 (50)(1 - x/100) = 35 (With practice, you might see this second step directly and not write the first version.) (1 - x/100) = 35/50 = 7/10 1 - 7/10 = x/100 3/10 = x/100 300 = 10x 30 = x _________________

Dmitry Farber | Manhattan GMAT Instructor | New York

Re: What number is 150 percent greater than 3? [#permalink]

Show Tags

07 Oct 2014, 06:23

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: What number is 150 percent greater than 3? [#permalink]

Show Tags

24 Feb 2016, 03:25

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. _________________

http://blog.ryandumlao.com/wp-content/uploads/2016/05/IMG_20130807_232118.jpg The GMAT is the biggest point of worry for most aspiring applicants, and with good reason. It’s another standardized test when most of us...

I recently returned from attending the London Business School Admits Weekend held last week. Let me just say upfront - for those who are planning to apply for the...