Question

The population of a town is 12500. It is estimated to increase by 15% next year. What will be the population of town at the end of next year.​

Answer 1

Answer:

$\underline{\bigstar\:\:\textsf{According to the Question :}}$

$:\implies\sf Next\:Year=Present\:Year \times (100+Increase)\%\\\\\\:\implies\sf Next\:Year=12500 \times (100+15)\%\\\\\\:\implies\sf Next\:Year=12500 \times 115\%\\\\\\:\implies\sf Next\:Year=12500 \times \dfrac{115}{100}\\\\\\:\implies\sf Next\:Year=125 \times 115\\\\\\:\implies\underline{\boxed{\textsf {Next Year = 14,375}}}$

⠀

$\therefore\:\underline{\textsf{Population at the end of next year is \textbf{14,375}}}.$

$\rule{150}{1}$

$\boxed{\begin{minipage}{7 cm}\underline{\text{Some Important Formulae Related to it :}}\\ \\\sf Increase = Old Population\times(100+\sf Increase)\%\\ \\Decrease=Old \:Population\times(100-Decrease\%)\end{minipage}}$

Answer 2

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$\huge\tt{GIVEN:}$

The population of a town is 12500

• it's estimated to be increased by 15% the next year

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$\huge\tt{TO~FIND:}$

• The population of town at the end of next year

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$\huge\tt{SOLUTION:}$

✅As, we know that The population at the end of year would be This year's population plus the increase in population.

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➩The population of Next year = Present year's Population × (100+Increase%)

➩The population of Next year = 12500×(100+15%)

➩The population of Next year = 12500 × 115%

➩The population of Next year = 125 × 115

➩The population of Next year = 14375

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$\tt\purple{THE~POPULATION~NEXT~YEAR~WOULD~BE~14,375}$

$\huge\tt\purple{~14,375~PEOPLE}$

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