At Company X, senior sales representatives visit the home office once : Problem Solving (PS)

chan4312

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

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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%

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Originally posted by chan4312 on 06 Aug 2008, 11:48.
Last edited by Bunuel on 08 Nov 2023, 02:36, edited 2 times in total.

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Bunuel

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Re: At Company X, senior sales representatives visit the home office once [#permalink]

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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KarishmaB

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Re: At Company X, senior sales representatives visit the home office once [#permalink]

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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x2suresh

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Re: At Company X, senior sales representatives visit the home office once [#permalink]

06 Aug 2008, 11:52

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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

chan4312

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Re: At Company X, senior sales representatives visit the home office once [#permalink]

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.

x2suresh

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Re: At Company X, senior sales representatives visit the home office once [#permalink]

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.

Suresh: Read the Question properly... Read the question properly Read the question properly :lol:

3-2/2 *100 = 50%

D

spriya

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Re: At Company X, senior sales representatives visit the home office once [#permalink]

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

pmenon

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Re: At Company X, senior sales representatives visit the home office once [#permalink]

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 office once [#permalink]

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

fozzzy

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Re: At Company X, senior sales representatives visit the home office once [#permalink]

17 Jul 2013, 03:27

2

Kudos

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 office once [#permalink]

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%

JaredL

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Re: At Company X, senior sales representatives visit the home office once [#permalink]

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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Bunuel

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Posts: 92747

Re: At Company X, senior sales representatives visit the home office once [#permalink]

20 Aug 2014, 02:44

Expert Reply

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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Re: At Company X, senior sales representatives visit the home office once [#permalink]

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%

:-D

noTh1ng

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Re: At Company X, senior sales representatives visit the home office once [#permalink]

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: \(\frac{73}{6}/\frac{73}{3} = \frac{73}{6} * \frac{3}{73} = \frac{1}{2}\)

mathivanan

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Re: At Company X, senior sales representatives visit the home office once [#permalink]

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.

B

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Re: At Company X, senior sales representatives visit the home office once [#permalink]

15 Nov 2017, 00:54

For every two months i.e 60 days, Senior goes 2 times and junior goes 3 times. Every two months Junior goes 1 time (=3-2) extra i.e. 50% (=1/2)more than Senior.
As on 2 years is multiple of 2 months, the 50% will remain.

So 50% is the answer.

----------------------
Kudos please if you like my post

m0on1989

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Re: At Company X, senior sales representatives visit the home office once [#permalink]

28 Dec 2019, 09:31

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%

Senior: 365*2/30
Junior: 365*2/20
=> percent greater: [365*2/20 - 365*2/30]/[365*2/30] = [1/20-1/30]/1/30 (just simplify 365*2 in both numerator and denominator; we do not need to calculate this)
= [10/600]/1/30=10/20=50%

S

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Re: At Company X, senior sales representatives visit the home office once [#permalink]

12 Mar 2020, 22:02

Shorter method -- to save time

A senior sales representative visits the home office at the rate of 1/30 visits per day
a junior sales representative visits the home office at the rate of 1/20 visits per day.

Rate of Junior Rep to Senior Rep =1/20 / 1/30 =30/20= 1.5,
The junior sales representatives’ rate is 1.5 times the senior sales representatives’ rate.

Therefore, in a 2-year period, the number of visits the junior representatives make to the home office is 1.5 times or 50% greater than the number that senior representatives make.

The correct answer is D.

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Basshead

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Re: At Company X, senior sales representatives visit the home office once [#permalink]

16 Nov 2020, 12:18

senior sales representative = once every 30 days
junior sales representative = once every 20 days

\(\frac{720}{30}\) = 24 senior sales rep visits

\(\frac{720}{20}\) = 36 junior sales rep visits

\(\frac{36}{24}\) = 1.5 = 50% greater

Answer is D.
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Re: At Company X, senior sales representatives visit the home office once [#permalink]

16 Nov 2020, 12:18

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