In a bio gas plant the population of yeast bacteria increases at a rate of 9%…

2017

In a bio gas plant the population of yeast bacteria increases at a rate of 9% per annum, but there is an additional annual increase of 1% in population due to various other inputs in the system. The percentage increase in the yeast population after 2 yrs is:

Answer: B. 21% — Population increases by: 9% + 1% = 10% per annum For 2 years, successive increase formula: Net increase %: = [a + b + (ab/100)] Here, a = 10 b = 10 So,…

  1. A.

    20%

  2. B.

    21%

  3. C.

    22%

  4. D.

    25%

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Correct answer: B

Population increases by:
9% + 1%
= 10% per annum

For 2 years, successive increase formula:
Net increase %:
= [a + b + (ab/100)]

Here,
a = 10
b = 10

So,
Increase %
= 10 + 10 + (10 × 10)/100
= 20 + 1
= 21%

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