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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]

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06 Aug 2008, 11:48
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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, 06:26, edited 1 time in total.
Moved to PS forum.
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Re: sales representatives :Problem Solving [#permalink]

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06 Aug 2008, 11:52
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]

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06 Aug 2008, 12:02
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]

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06 Aug 2008, 12:21
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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.

3-2/2 *100 = 50%

D
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Re: sales representatives :Problem Solving [#permalink]

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06 Aug 2008, 18:14
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]

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06 Aug 2008, 19:46
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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]

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17 May 2013, 05:48
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...

Archit
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Re: At Company X senior sales representatives visit the home [#permalink]

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17 May 2013, 06:35
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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]

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17 Jul 2013, 03:27
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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]

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23 Sep 2013, 13:44
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]

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15 Oct 2013, 02:56
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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]

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20 Aug 2014, 02:09
Bunuel wrote:
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.

I got the answer to this question correct, but the above has confused me a bit.

In the question, I treated Junior as A and Senior as B, therefore (A-B)/B = (36-24)/24 = 50%.

But in the above you say that if it were the percent that senior was smaller than junior, it would be (36-24)/36 as "When asked "a is what percent greater/smaller than b" always put b in the denominator: (a-b)/b*100".

So if Senior is then A and Junior then B, would it not be 24-36/36?
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Re: At Company X senior sales representatives visit the home [#permalink]

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20 Aug 2014, 02:44
Expert's post
JaredL wrote:
Bunuel wrote:
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.

I got the answer to this question correct, but the above has confused me a bit.

In the question, I treated Junior as A and Senior as B, therefore (A-B)/B = (36-24)/24 = 50%.

But in the above you say that if it were the percent that senior was smaller than junior, it would be (36-24)/36 as "When asked "a is what percent greater/smaller than b" always put b in the denominator: (a-b)/b*100".

So if Senior is then A and Junior then B, would it not be 24-36/36?

It's switched to get positive result.
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At Company X senior sales representatives visit the home [#permalink]

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26 Sep 2014, 11:16
VeritasPrepKarishma wrote:
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%

YOu're the best Karishma!!

I performed a lengthy calculation, though not really performed the multiples and divisions but left the big numbers there for cancelations, and also realized that the number of year (1 year or 2 or whatever) does not mean anything. The rate is the same, so this question is as simple as:

(30-20)/20 = 50%

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At Company X senior sales representatives visit the home [#permalink]

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22 Aug 2015, 06:00
Anyone who want to review my solution?

2 years = 2 * 365 days = 730 days

I:
senior: $$\frac{730}{30} = \frac{73}{3}$$
junior: $$\frac{730}{20} = \frac{73}{2}$$

II:
(jun-sen): $$\frac{73}{2} - \frac{73}{3} = \frac{73}{6}$$

III:
change / sen: $$\frac{73}{6}/\frac{73}{3} = \frac{73}{6} * \frac{3}{73} = \frac{1}{2}$$
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At Company X senior sales representatives visit the home [#permalink]

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22 Aug 2015, 06:23
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%

number visits by seniors=730/30 and number of visits by juniors = 730/2
the difference is 73/6
(diff/no of visits by seniors) *100 = 50%

note that you can assume any variable; it gives the same answer
x/30 and x/20
diff = x/60
yet, you arrive at the same answer.
At Company X senior sales representatives visit the home   [#permalink] 22 Aug 2015, 06:23
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