The population of a town increases \[5\% \] every year. If the present population is 180800. Find the population after a year.
Answer
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Hint: First of all, find the increase in the population every year. Then the population after a year is the sum of the present population and the increase in the population every year.
Complete step-by-step answer:
Given present population of a town is 180800
Population of the town increases every year at the rate of \[5\% \]
So, \[5\% \] of 180800 is given by
\[
= \dfrac{5}{{100}} \times 180800 \\
= 5 \times 1808 \\
= 9040 \\
\]
Hence the population of the town increases by 9040 every year.
Therefore, the population after a year = present population + increase in population every year
= 180800 + 9040
= 189840
Thus, the population of the town after a year is 189840.
Note: The population after a year must be more than the present population as there is an increase in the population of every year in the town. The \[x\% \] of \[y\] is given by \[\dfrac{x}{{100}} \times y\].
Complete step-by-step answer:
Given present population of a town is 180800
Population of the town increases every year at the rate of \[5\% \]
So, \[5\% \] of 180800 is given by
\[
= \dfrac{5}{{100}} \times 180800 \\
= 5 \times 1808 \\
= 9040 \\
\]
Hence the population of the town increases by 9040 every year.
Therefore, the population after a year = present population + increase in population every year
= 180800 + 9040
= 189840
Thus, the population of the town after a year is 189840.
Note: The population after a year must be more than the present population as there is an increase in the population of every year in the town. The \[x\% \] of \[y\] is given by \[\dfrac{x}{{100}} \times y\].
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