047. The population of a city was 3000. It was
increased by 4% in the first year and then
decreased by 3% in next year. What was
the total population at the end of two years?
(A) 3208
(B) 3228
(C) 2028
(D) 3026
Answers
Answer:
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Given:
The population of a city was 3000. It was increased by 4% in the first year and then decreased by 3% in the next year.
To Find:
What was the total population at the end of two years?
(A) 3208
(B) 3228
(C) 2028
(D) 3026
Solution:
It is given that the population of a city is 3000 and then it was increased by 4% in the first year, which will be equal to,
1st-year population,
[tex]Population=3000+4\%*3000\\ =3000+120\\ =3120[/tex]
Now in the 1st year, we have a population of 3120 which was in the 2nd year decreased by 3%, then the population will be equal to,
2nd-year population,
[tex]Population=3120-3\%*3120\\ =3120-93.6\\ =3026.4\\ \approx 3026[/tex]
So the population at the end of 2nd-year is 3026.
Hence, the correct option is (D).