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A colony of ants increases its population by 4 percent. If after this

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aragonn
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A colony of ants increases its population by 4 percent. If after this [#permalink] New post   03 Apr 2019, 21:11
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A colony of ants increases its population by 4 percent. If after this increase, bacteria deplete the population by \(\frac{3}{4}\), the new ant population is what percent of the original ant population?

A. 16%
B. 26%
C. 29%
D. 50%
E. 78%
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B
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Re: A colony of ants increases its population by 4 percent. If after this [#permalink] New post   03 Apr 2019, 21:55
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Solution


Given:
In this question, we are given
    • A colony of ants increases its population by 4 percent.
    • After this increase, bacteria deplete the population by ¾.

To find:
We need to determine
    • The new ant population is what percent of the original ant population.

Approach and Working:
Let us assume that the original ant population was 100.
    • After the first increase, the population becomes (100 + 4% of 100) = 100 + 4 = 104
    • Amount of population decrease due to bacteria = 104 * ¾ = 78
    • Hence, new population after the decrease = 104 – 78 = 26
    • As new population is 26 and original population was 100, new population is 26% of the original population.

Hence, the correct answer is option B.

Answer: B

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Re: A colony of ants increases its population by 4 percent. If after this [#permalink] New post   03 Apr 2019, 22:05
The new ant population is what percent of the original ant population.

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Re: A colony of ants increases its population by 4 percent. If after this [#permalink] New post   04 Apr 2019, 01:37
aragonn wrote:
A colony of ants increases its population by 4 percent. If after this increase, bacteria deplete the population by \(\frac{3}{4}\), the new ant population is what percent of the original ant population?

A. 16%
B. 26%
C. 29%
D. 50%
E. 78%


let popn = 100
4% increase = 104
deplete by 3/4 = 78 and left 104-78 ; 26
new popn 26% of original IMO B
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Re: A colony of ants increases its population by 4 percent. If after this [#permalink]
04 Apr 2019, 01:37
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