It is currently 24 Sep 2018, 07:58

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

If Mary has half as many cents as Nora has dollars, then No

Author Message
TAGS:
GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4475
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 80

Kudos [?]: 1478 [0], given: 346

If Mary has half as many cents as Nora has dollars, then No [#permalink]  02 Jun 2018, 03:36
Expert's post
00:00

Question Stats:

50% (00:00) correct 50% (01:31) wrong based on 4 sessions
If Mary has half as many cents as Nora has dollars, then Nora has what percent more cents than Mary does? (100 cents = 1 dollar)

(A) 100%
(B) 200%
(C) 1,990%
(D) 19,900%
(E) 20,000%
[Reveal] Spoiler: OA

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 09 May 2016
Posts: 161
Location: United States
Followers: 4

Kudos [?]: 112 [0], given: 0

Re: If Mary has half as many cents as Nora has dollars, then No [#permalink]  06 Jun 2018, 15:20
Expert's post
sandy wrote:
If Mary has half as many cents as Nora has dollars, then Nora has what percent more cents than Mary does? (100 cents = 1 dollar)

(A) 100%
(B) 200%
(C) 1,990%
(D) 19,900%
(E) 20,000%

We can assume that Mary has 10 cents and thus Nora has 20 dollars, or 2000 cents. Using the “percent greater than” formula: (Nora - Mary)/Mary x 100%, we see that Nora has

(2000 - 10)/10 x 100%

1990/10 x 100%

199 x 100%

19,900% more cents than Mary does.

_________________

Jeffery Miller

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

GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4475
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 80

Kudos [?]: 1478 [0], given: 346

Re: If Mary has half as many cents as Nora has dollars, then No [#permalink]  11 Jul 2018, 13:29
Expert's post
Explanation

Because no actual amounts of money are stated in the question, use smart numbers to solve this problem. If Mary has half as many cents as Nora has dollars, then, as an example, if Nora had $10, Mary would have 5 cents. Nora’s$10 equals 1,000 cents. To determine what percent more cents Nora has, use the percent change formula:

Percent Change=$$(\frac{Difference}{original} \times 100)$$

Percent Change=$$(\frac{1000-5}{5} \times 100)=19900\%$$

Any example in which “Mary has half as many cents as Nora has dollars” will yield the same result. Note that the percent change formula is required—a percent more (or percent increase) is not the same as a percent of something.

To do the problem algebraically (which is more difficult than using a smart number, as above), use M for Mary’s cents and N for Nora’s cents. Divide N by 100 in order to convert from cents to dollars, $$\frac{N}{100}$$, and set up an equation to reflect that Mary has half as many cents as Nora has dollars:

$$M= \frac{1}{2} (\frac{N}{100})$$

$$M=\frac{N}{200}$$

$$200M=N$$

Therefore, Nora has 200 times as many cents. 200 times as many is 199 times more. To convert 199 times more to a percent, add two zeros to get 19,900%.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Re: If Mary has half as many cents as Nora has dollars, then No   [#permalink] 11 Jul 2018, 13:29
Display posts from previous: Sort by