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For each of the last 5 years, the population of a colony of

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Carcass
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For each of the last 5 years, the population of a colony of [#permalink] New post   07 Nov 2019, 10:40
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For each of the last 5 years, the population of a colony of beetles increased by 8 percent of the preceding year's population. If P represents the current population of the colony, which of the following best represents the population 5 years ago, in terms of P?


A. (5)(1.08P−1)

B. (1.08)−5P−1

C. (1.08P)−5

D. (1.08)−5P

E. (1.08)−5P5
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pranab223
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Re: For each of the last 5 years, the population of a colony of [#permalink] New post   08 Nov 2019, 06:44
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Carcass wrote:
For each of the last 5 years, the population of a colony of beetles increased by 8 percent of the preceding year's population. If P represents the current population of the colony, which of the following best represents the population 5 years ago, in terms of P?


A. (5)(1.08P−1)

B. (1.08)−5P−1

C. (1.08P)−5

D. (1.08)−5P

E. (1.08)−5P5


Here,

Let the population of beetles 5 yrs ago = x

Each year there is an increase of 8%

that means in 5 yrs, total population = x∗(1.08)5 = Current age = P

Therefore x=(1.08)−5P
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Re: For each of the last 5 years, the population of a colony of [#permalink] New post   14 Nov 2019, 02:35
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HI,
I used the compound interest formula to do this question.
Let the, Population 5years ago be the principle- x
and Population now be- P, while time given is 5 years

SINCE,C.I = P(1+r%)^t

we will come down to
x(1+8%)^5=P
isolating x we get,
x=P(1.08)^-5

Please shoot a kudos if you like the solution.
Thank you in advance!
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Re: For each of the last 5 years, the population of a colony of [#permalink] New post   05 Jul 2022, 12:54
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: For each of the last 5 years, the population of a colony of [#permalink]
05 Jul 2022, 12:54
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