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) The population of a town increases every year by 2% of the population at the beginning of that year. The number of years by which the total increase of population be 40% is (a) 7 years (b) 10 years (c) 17 years (app.) (d) None of these?
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) The population of a town increases every year by 2% of the populatio...
Solution:

Let the population at the beginning of the year be x.

After 1 year, the population will be x + 2/100 x = 1.02x

After 2 years, the population will be (1.02x) + 2/100 (1.02x) = 1.0404x

Similarly, after n years, the population will be x(1.02)^n

Let the number of years required for the total increase of population to be 40% be y.

Then, x(1.02)^y - x = 0.4x

Simplifying, we get (1.02)^y - 1 = 0.4/1.02

Taking log on both sides, we get y = log 1.4 / log 1.02

y = 16.99

Therefore, the number of years required for the total increase of population to be 40% is approximately 17 years.

Hence, the answer is (c) 17 years (app.)
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) The population of a town increases every year by 2% of the population at the beginning of that year. The number of years by which the total increase of population be 40% is (a) 7 years (b) 10 years (c) 17 years (app.) (d) None of these?
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) The population of a town increases every year by 2% of the population at the beginning of that year. The number of years by which the total increase of population be 40% is (a) 7 years (b) 10 years (c) 17 years (app.) (d) None of these? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about ) The population of a town increases every year by 2% of the population at the beginning of that year. The number of years by which the total increase of population be 40% is (a) 7 years (b) 10 years (c) 17 years (app.) (d) None of these? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ) The population of a town increases every year by 2% of the population at the beginning of that year. The number of years by which the total increase of population be 40% is (a) 7 years (b) 10 years (c) 17 years (app.) (d) None of these?.
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