Question
In a bio gas plant the population of yeast bacteria
increases at a rate of 19% 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 years is:Solution
The population of bacteria increases by 19% per annum and 1% due to additional factors, so every year, there is a net increase of 20% in yeast population. Let the population at present be x. Population after 2 years = x × 120/100 × 120/100 = 144x/100 = 1.44x % increase in population = [(1.44x - x)/x] × 100 = 44
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