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At Company X senior sales representatives visit the home

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At Company X senior sales representatives visit the home [#permalink] New post 06 Aug 2008, 10:48
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67% (02:08) correct 32% (01:06) wrong based on 135 sessions
At Company X senior sales representatives visit the home office once every 30 days, and junior sales representatives visit the home office once every 20 days. The number of visits that a junior sales representative makes in a 2-year period is approximately what percent greater than the number of visits that a senior representative makes in the same period?

A. 10%
B. 25%
C. 33%
D. 50%
E. 67%
[Reveal] Spoiler: OA

Last edited by Bunuel on 17 May 2013, 05:26, edited 1 time in total.
Moved to PS forum.
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Re: sales representatives :Problem Solving [#permalink] New post 06 Aug 2008, 10:52
chan4312 wrote:
At Company X senior sales representatives visit the home office once every 30 days, and junior sales representatives visit the home office once every 20 days. The number of visits that a junior sales representative makes in a 2-year period is approximately what percent greater than the number of visits that a senior representative makes in the same period?
A. 10%
B. 25%
C. 33%
D. 50%
E. 67%


junionrs 365*2 /20 ~ 36
seniors 365*2 /30 ~ 24

3-2/3 *100 = 33%

C
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Re: sales representatives :Problem Solving [#permalink] New post 06 Aug 2008, 11:02
x2suresh wrote:
chan4312 wrote:
At Company X senior sales representatives visit the home office once every 30 days, and junior sales representatives visit the home office once every 20 days. The number of visits that a junior sales representative makes in a 2-year period is approximately what percent greater than the number of visits that a senior representative makes in the same period?
A. 10%
B. 25%
C. 33%
D. 50%
E. 67%


junionrs 365*2 /20 ~ 36
seniors 365*2 /30 ~ 24

3-2/3 *100 = 33%

C


No..That is not the correct answer..Try again.
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Re: sales representatives :Problem Solving [#permalink] New post 06 Aug 2008, 11:21
chan4312 wrote:
x2suresh wrote:
chan4312 wrote:
At Company X senior sales representatives visit the home office once every 30 days, and junior sales representatives visit the home office once every 20 days. The number of visits that a junior sales representative makes in a 2-year period is approximately what percent greater than the number of visits that a senior representative makes in the same period?
A. 10%
B. 25%
C. 33%
D. 50%
E. 67%


junionrs 365*2 /20 ~ 36
seniors 365*2 /30 ~ 24

3-2/3 *100 = 33%

C


No..That is not the correct answer..Try again.

:lol: Suresh: Read the Question properly... Read the question properly Read the question properly :lol:
3-2/2 *100 = 50%

D
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Re: sales representatives :Problem Solving [#permalink] New post 06 Aug 2008, 17:14
chan4312 wrote:
At Company X senior sales representatives visit the home office once every 30 days, and junior sales representatives visit the home office once every 20 days. The number of visits that a junior sales representative makes in a 2-year period is approximately what percent greater than the number of visits that a senior representative makes in the same period?
A. 10%
B. 25%
C. 33%
D. 50%
E. 67%


(36-26)/26 ~ 33% hence IMO C
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Re: sales representatives :Problem Solving [#permalink] New post 06 Aug 2008, 18:46
I get D. In 2 years, we have 365*2=730 days. Now, we have to find out the overall number of 20 day and 30 day 'chunks', if you will.

So, we get 730/20 = 36.5 and 730/30 = 24.3. To find what percent greater, we do (36.5-24.3)/24.3 = 12.2/24.3, which is approx 50%
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Re: At Company X senior sales representatives visit the home [#permalink] New post 17 May 2013, 04:48
Hi
Can anyone help me with the other version of the question where the answer will be 33%. I was trapped.
But i am confused in the wording of the question.
I suppose we are asked to calculate the change between each...

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Re: At Company X senior sales representatives visit the home [#permalink] New post 17 May 2013, 05:35
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Expert's post
Archit143 wrote:
Hi
Can anyone help me with the other version of the question where the answer will be 33%. I was trapped.
But i am confused in the wording of the question.
I suppose we are asked to calculate the change between each...

Archit


If the question were: "The number of visits that a senior sales representative makes in a 2-year period is approximately what percent smaller than the number of visits that a junior representative makes in the same period?", then the answer would 33%: (36-24)/36=1/3=~33%.

When asked "a is what percent greater/smaller than b" always put b in the denominator: (a-b)/b*100.

Hope it helps.
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Re: At Company X senior sales representatives visit the home [#permalink] New post 17 Jul 2013, 02:27
Senior is \frac{1}{30}
Junior is \frac{1}{20}

for a 2 year period ( senior) 2/30 >> \frac{1}{15}
for a 2 year period ( Junior) 2/20 >> \frac{1}{10}

To find Junior - senior / senior * 100


{1/10} - {1/15}/ {1/15} * 100

= 50 percent
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Re: At Company X senior sales representatives visit the home [#permalink] New post 23 Sep 2013, 12:44
S: 1/month => 12/year => 24/2 years
J: 1.5/month => 36/2 years

% of J > S in 2 years: (J-S)/S*100=50%
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Re: At Company X senior sales representatives visit the home [#permalink] New post 15 Oct 2013, 01:56
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fozzzy wrote:
Senior is \frac{1}{30}
Junior is \frac{1}{20}

for a 2 year period ( senior) 2/30 >> \frac{1}{15}
for a 2 year period ( Junior) 2/20 >> \frac{1}{10}

To find Junior - senior / senior * 100


{1/10} - {1/15}/ {1/15} * 100

= 50 percent


Responding to a pm:

When you say Senior is 1/30, what do you mean by it? It is the rate of visit. The time of visit is 30 days. The rate is 1/30. Similarly, the rate of visit for junior is 1/20.
The 2 yrs has no significance in this case. The rate stays the same for every time interval.

{1/20} - {1/30}/ {1/30} * 100 = 50%
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Re: At Company X senior sales representatives visit the home   [#permalink] 15 Oct 2013, 01:56
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