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The population of a town increases every year by 4%. If population was 50000 in starting, then after two years will be :
Answer & Solution
Correct Answer:
Option
C
4% = $$\frac{1}{25}$$
\[\begin{gathered} {\text{Initial }}\,\,\,\,\,\,{\text{Final}} \hfill \\ \,\,\,25\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,26 \hfill \\ \,\,\,25\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,26 \hfill \\ \overline {\,\,\,\,\,625\,\,\,\,\,\,\,\,\,\,\,676\,\,\,} \hfill \\ \end{gathered} \]
According to the question,
625 units = 50000
1 unit = $$\frac{50000}{625}$$ = 80
676 units = 80 × 676 = 54080
Hence, population after two years = 54080
\[\begin{gathered} {\text{Initial }}\,\,\,\,\,\,{\text{Final}} \hfill \\ \,\,\,25\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,26 \hfill \\ \,\,\,25\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,26 \hfill \\ \overline {\,\,\,\,\,625\,\,\,\,\,\,\,\,\,\,\,676\,\,\,} \hfill \\ \end{gathered} \]
According to the question,
625 units = 50000
1 unit = $$\frac{50000}{625}$$ = 80
676 units = 80 × 676 = 54080
Hence, population after two years = 54080
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