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Occupancy rate is defined as the number of units occupied,

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madhavsrinivas
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Occupancy rate is defined as the number of units occupied, [#permalink] New post   Updated on: 24 Dec 2013, 02:22
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Occupancy rate is defined as the number of units occupied divided by the number of total units. Was the occupancy rate in a certain apartment complex greater than 45% on June 30?

(1) On January 1st, the occupancy rate was 75%.

(2) At the end of each month from February to June, the occupancy rate was 80% of the figure at the end of the preceding month.
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Originally posted by madhavsrinivas on 23 Dec 2013, 11:09.
Last edited by Bunuel on 24 Dec 2013, 02:22, edited 1 time in total.
Edited the question.
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Re: Occupancy rate is defined as the number of units occupied, [#permalink] New post   23 Dec 2013, 19:38
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madhavsrinivas wrote:
Occupancy rate is defined as the number of units occupied divided by the number of total units. Was the occupancy rate in a certain apartment complex greater than 45% on June 30?

On January 1st, the occupancy rate was 75%.

At the end of each month from February to June, the occupancy rate was 80% of the figure at the end of the preceding month.

Dear madhavsrinivas,
I'm happy to help. :-)

Statement #1: On January 1st, the occupancy rate was 75%
From this statement, we have no idea how things change from January to June. This statement, alone and by itself, is insufficient.

Statement #2: At the end of each month from February to June, the occupancy rate was 80% of the figure at the end of the preceding month.
Interesting. We don't know what January is. Suppose January is 100%, the highest possible percent. Then,
end of February = 80%
end of March = 80*0.8 = 64%
end of April = 64*0.8 = 51.2%
end of May = 51.2*0.8 = 40.96%
end of June = 40.96 *0.8 ---- something less than 40%, so definitely less than 45%.
If January is the max percent, with this rule June is below 40%. If January started even lower, then June would be even lower, much lower than 40%.
We can give a definitive answer to the prompt question. This statement, alone and by itself, is sufficient.

Answer = (B)

Does all this make sense?
Mike :-)
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Re: Occupancy rate is defined as the number of units occupied, [#permalink] New post   23 Dec 2013, 21:22
mikemcgarry wrote:
madhavsrinivas wrote:
Occupancy rate is defined as the number of units occupied divided by the number of total units. Was the occupancy rate in a certain apartment complex greater than 45% on June 30?

On January 1st, the occupancy rate was 75%.

At the end of each month from February to June, the occupancy rate was 80% of the figure at the end of the preceding month.

Dear madhavsrinivas,
I'm happy to help. :-)

Statement #1: On January 1st, the occupancy rate was 75%
From this statement, we have no idea how things change from January to June. This statement, alone and by itself, is insufficient.

Statement #2: At the end of each month from February to June, the occupancy rate was 80% of the figure at the end of the preceding month.
Interesting. We don't know what January is. Suppose January is 100%, the highest possible percent. Then,
end of February = 80%
end of March = 80*0.8 = 64%
end of April = 64*0.8 = 51.2%
end of May = 51.2*0.8 = 40.96%
end of June = 40.96 *0.8 ---- something less than 40%, so definitely less than 45%.
If January is the max percent, with this rule June is below 40%. If January started even lower, then June would be even lower, much lower than 40%.
We can give a definitive answer to the prompt question. This statement, alone and by itself, is sufficient.

Answer = (B)

Does all this make sense?
Mike :-)



Crystal clear! Thank you Mike :)
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Re: Occupancy rate is defined as the number of units occupied, [#permalink] New post   19 Apr 2015, 02:06
mikemcgarry wrote:
madhavsrinivas wrote:
Occupancy rate is defined as the number of units occupied divided by the number of total units. Was the occupancy rate in a certain apartment complex greater than 45% on June 30?

On January 1st, the occupancy rate was 75%.

At the end of each month from February to June, the occupancy rate was 80% of the figure at the end of the preceding month.

Dear madhavsrinivas,
I'm happy to help. :-)

Statement #1: On January 1st, the occupancy rate was 75%
From this statement, we have no idea how things change from January to June. This statement, alone and by itself, is insufficient.

Statement #2: At the end of each month from February to June, the occupancy rate was 80% of the figure at the end of the preceding month.
Interesting. We don't know what January is. Suppose January is 100%, the highest possible percent. Then,
end of February = 80%
end of March = 80*0.8 = 64%
end of April = 64*0.8 = 51.2%
end of May = 51.2*0.8 = 40.96%
end of June = 40.96 *0.8 ---- something less than 40%, so definitely less than 45%.
If January is the max percent, with this rule June is below 40%. If January started even lower, then June would be even lower, much lower than 40%.
We can give a definitive answer to the prompt question. This statement, alone and by itself, is sufficient.

Answer = (B)

Does all this make sense?
Mike :-)


Thank you Mike.It was indeed an awesome explanation.
Thank you so mch!!!
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Re: Occupancy rate is defined as the number of units occupied, [#permalink] New post   17 Sep 2020, 07:32
mikemcgarry wrote:
madhavsrinivas wrote:
Occupancy rate is defined as the number of units occupied divided by the number of total units. Was the occupancy rate in a certain apartment complex greater than 45% on June 30?

On January 1st, the occupancy rate was 75%.

At the end of each month from February to June, the occupancy rate was 80% of the figure at the end of the preceding month.

Dear madhavsrinivas,
I'm happy to help. :-)

Statement #1: On January 1st, the occupancy rate was 75%
From this statement, we have no idea how things change from January to June. This statement, alone and by itself, is insufficient.

Statement #2: At the end of each month from February to June, the occupancy rate was 80% of the figure at the end of the preceding month.
Interesting. We don't know what January is. Suppose January is 100%, the highest possible percent. Then,
end of February = 80%
end of March = 80*0.8 = 64%
end of April = 64*0.8 = 51.2%
end of May = 51.2*0.8 = 40.96%
end of June = 40.96 *0.8 ---- something less than 40%, so definitely less than 45%.
If January is the max percent, with this rule June is below 40%. If January started even lower, then June would be even lower, much lower than 40%.
We can give a definitive answer to the prompt question. This statement, alone and by itself, is sufficient.

Answer = (B)

Does all this make sense?
Mike :-)



What if January was 1000% then (2) would be insufficient?
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Re: Occupancy rate is defined as the number of units occupied, [#permalink] New post   17 Nov 2020, 10:05
GloryBoy92 wrote:
mikemcgarry wrote:
madhavsrinivas wrote:
Occupancy rate is defined as the number of units occupied divided by the number of total units. Was the occupancy rate in a certain apartment complex greater than 45% on June 30?

On January 1st, the occupancy rate was 75%.

At the end of each month from February to June, the occupancy rate was 80% of the figure at the end of the preceding month.

Dear madhavsrinivas,
I'm happy to help. :-)

Statement #1: On January 1st, the occupancy rate was 75%
From this statement, we have no idea how things change from January to June. This statement, alone and by itself, is insufficient.

Statement #2: At the end of each month from February to June, the occupancy rate was 80% of the figure at the end of the preceding month.
Interesting. We don't know what January is. Suppose January is 100%, the highest possible percent. Then,
end of February = 80%
end of March = 80*0.8 = 64%
end of April = 64*0.8 = 51.2%
end of May = 51.2*0.8 = 40.96%
end of June = 40.96 *0.8 ---- something less than 40%, so definitely less than 45%.
If January is the max percent, with this rule June is below 40%. If January started even lower, then June would be even lower, much lower than 40%.
We can give a definitive answer to the prompt question. This statement, alone and by itself, is sufficient.

Answer = (B)

Does all this make sense?
Mike :-)



What if January was 1000% then (2) would be insufficient?


Yes, it doesn't matter statement 2 will be sufficient irrespective of the value you want to test , just to make you feel comfortable test numbers 1000 and 100 and you will see the result.
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Re: Occupancy rate is defined as the number of units occupied, [#permalink] New post   22 Nov 2020, 03:51
GloryBoy92 wrote:
mikemcgarry wrote:
madhavsrinivas wrote:
Occupancy rate is defined as the number of units occupied divided by the number of total units. Was the occupancy rate in a certain apartment complex greater than 45% on June 30?

On January 1st, the occupancy rate was 75%.

At the end of each month from February to June, the occupancy rate was 80% of the figure at the end of the preceding month.

Dear madhavsrinivas,
I'm happy to help. :-)

Statement #1: On January 1st, the occupancy rate was 75%
From this statement, we have no idea how things change from January to June. This statement, alone and by itself, is insufficient.

Statement #2: At the end of each month from February to June, the occupancy rate was 80% of the figure at the end of the preceding month.
Interesting. We don't know what January is. Suppose January is 100%, the highest possible percent. Then,
end of February = 80%
end of March = 80*0.8 = 64%
end of April = 64*0.8 = 51.2%
end of May = 51.2*0.8 = 40.96%
end of June = 40.96 *0.8 ---- something less than 40%, so definitely less than 45%.
If January is the max percent, with this rule June is below 40%. If January started even lower, then June would be even lower, much lower than 40%.
We can give a definitive answer to the prompt question. This statement, alone and by itself, is sufficient.

Answer = (B)

Does all this make sense?
Mike :-)



What if January was 1000% then (2) would be insufficient?


In this scenario, you cannot take Jan to be more than 100%. Logically speaking, how can people occupy more houses that the ones available? You cannot say people are occupying 600 houses even though the complex has only 60.
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Re: Occupancy rate is defined as the number of units occupied, [#permalink] New post   23 Nov 2020, 14:11
madhavsrinivas wrote:
Occupancy rate is defined as the number of units occupied divided by the number of total units. Was the occupancy rate in a certain apartment complex greater than 45% on June 30?

(1) On January 1st, the occupancy rate was 75%.

(2) At the end of each month from February to June, the occupancy rate was 80% of the figure at the end of the preceding month.


(1) We don't know anything about the occupancy rate in June; INSUFFICIENT.

(2) Lets say Feb occupancy rate = 4/5
March = 4/5 * 4/5 = 16/25
April = 4/5 * 4/5 * 4/5 = 64/125
May = 4/5 * 4/5 * 4/5 * 4/5 = 256/625

We don't need to go further; we know the maximum occupancy rate in June will be less than 45%. SUFFICIENT.

Answer is B.
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Occupancy rate is defined as the number of units occupied, [#permalink] New post   07 May 2021, 06:31
mikemcgarry wrote:
madhavsrinivas wrote:
Occupancy rate is defined as the number of units occupied divided by the number of total units. Was the occupancy rate in a certain apartment complex greater than 45% on June 30?

On January 1st, the occupancy rate was 75%.

At the end of each month from February to June, the occupancy rate was 80% of the figure at the end of the preceding month.

Dear madhavsrinivas,
I'm happy to help. :-)

Statement #1: On January 1st, the occupancy rate was 75%
From this statement, we have no idea how things change from January to June. This statement, alone and by itself, is insufficient.

Statement #2: At the end of each month from February to June, the occupancy rate was 80% of the figure at the end of the preceding month.
Interesting. We don't know what January is. Suppose January is 100%, the highest possible percent. Then,
end of February = 80%
end of March = 80*0.8 = 64%
end of April = 64*0.8 = 51.2%
end of May = 51.2*0.8 = 40.96%
end of June = 40.96 *0.8 ---- something less than 40%, so definitely less than 45%.
If January is the max percent, with this rule June is below 40%. If January started even lower, then June would be even lower, much lower than 40%.
We can give a definitive answer to the prompt question. This statement, alone and by itself, is sufficient.

Answer = (B)

Does all this make sense?
Mike :-)


VeritasKarishma "At the end of each month from February to June" means from February 1st to June 1st if so then this period is not inclusive of June so we cant have information about junes occupancy. Whats wrong with my reasoning ? :

IanStewart perhaps you can help :)
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Re: Occupancy rate is defined as the number of units occupied, [#permalink] New post   10 May 2021, 01:42
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dave13 wrote:
mikemcgarry wrote:
madhavsrinivas wrote:
Occupancy rate is defined as the number of units occupied divided by the number of total units. Was the occupancy rate in a certain apartment complex greater than 45% on June 30?

On January 1st, the occupancy rate was 75%.

At the end of each month from February to June, the occupancy rate was 80% of the figure at the end of the preceding month.

Dear madhavsrinivas,
I'm happy to help. :-)

Statement #1: On January 1st, the occupancy rate was 75%
From this statement, we have no idea how things change from January to June. This statement, alone and by itself, is insufficient.

Statement #2: At the end of each month from February to June, the occupancy rate was 80% of the figure at the end of the preceding month.
Interesting. We don't know what January is. Suppose January is 100%, the highest possible percent. Then,
end of February = 80%
end of March = 80*0.8 = 64%
end of April = 64*0.8 = 51.2%
end of May = 51.2*0.8 = 40.96%
end of June = 40.96 *0.8 ---- something less than 40%, so definitely less than 45%.
If January is the max percent, with this rule June is below 40%. If January started even lower, then June would be even lower, much lower than 40%.
We can give a definitive answer to the prompt question. This statement, alone and by itself, is sufficient.

Answer = (B)

Does all this make sense?
Mike :-)


VeritasKarishma "At the end of each month from February to June" means from February 1st to June 1st if so then this period is not inclusive of June so we cant have information about junes occupancy. Whats wrong with my reasoning ? :

IanStewart perhaps you can help :)


It is inclusive of June too.

At the end of each month, from Feb to June - means "at the end of Feb", "at the end of March", "at the end of April", "at the end of May", and "at the end of June", it was observed that occupancy was 80% of occupancy and the end of previous month.

So at the end of Feb, occupancy was 80% of occupancy at the end of Jan.
At the end of March, occupancy was 80% of occupancy at the end of Feb.
...
At the end of June, occupancy was 80% of occupancy at the end of May.
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Re: Occupancy rate is defined as the number of units occupied, [#permalink] New post   30 Jan 2022, 05:50
OE:

Statement (1) gives us a starting point but no information about today or any rate of change; INSUFFICIENT. Statement (2) tells us that the rate at the end of each month is 80% of the rate at the beginning of that month. Consider the extreme possibility: let’s say that on February 1 st the complex was 100% full. That number will be multiplied by 80% five times, or (.8) 5, since there will be five periods in which it drops. Some guesstimation should be sufficient to show that 100(.8)5 is well below 45, but you can also pick numbers. Say there were 100 people on February first and watch what happens – you’ll end up with about 33 people; SUFFICIENT, (B) .
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Re: Occupancy rate is defined as the number of units occupied, [#permalink]
30 Jan 2022, 05:50
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