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josemnz83
Joined: 01 Jul 2012
Last visit: 25 Jul 2016
Posts: 78
Given Kudos: 16
Location: United States
Schools: Mays '16 (A$) HBS '16 (D) Ross '16 (A$) Simon '16 (A) UVA Darden (WA) Tepper '16 (WL) Olin '16 (A$) Jones '16 (M$)
GMAT 1: 510 Q34 V28
GMAT 2: 580 Q35 V35
GMAT 3: 640 Q34 V44
GMAT 4: 690 Q43 V42
GPA: 3.61
WE:Education (Education)
Schools: Mays '16 (A$) HBS '16 (D) Ross '16 (A$) Simon '16 (A) UVA Darden (WA) Tepper '16 (WL) Olin '16 (A$) Jones '16 (M$)
GMAT 4: 690 Q43 V42
Posts: 78
26 Jun 2013, 17:55
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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?
Please help!
Thanks!
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?
Please help!
Thanks!
26 Jun 2013, 23:45
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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:
150% greater than 3 = (1.5 + 1) * 3 = 2.5 * 3 = 7.5
You can do the same with "% less than":
60% less than 10 = 10 - .6(10) = 10 -6 = 4
OR
60% less than 10 = 10 (1-.6) = 10 * .4 = 4
"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:
150% greater than 3 = (1.5 + 1) * 3 = 2.5 * 3 = 7.5
You can do the same with "% less than":
60% less than 10 = 10 - .6(10) = 10 -6 = 4
OR
60% less than 10 = 10 (1-.6) = 10 * .4 = 4
General Discussion
26 Jun 2013, 18:48
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if you add 50 % , it is because you are adding (x + 50/100(x) ) = 1.5x
now for 150 % you should add (x + 150/100(x)) = 2.5x
as you said 100% of 3 is 3
so 50% of 3 is 1.5
now 150% of 3 is (3+1.5) ie 4.5
so adding 3+4.5 we get 7.5.
now for 150 % you should add (x + 150/100(x)) = 2.5x
as you said 100% of 3 is 3
so 50% of 3 is 1.5
now 150% of 3 is (3+1.5) ie 4.5
so adding 3+4.5 we get 7.5.
