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$2$ . In $1960$ the population of Indonesia was $88$ million. In $2010$ the population of Indonesia was $242$ million a. Calculate the percentage increase from $1960$ to $2010$ . b. Estimate the population in $2060$ if the rate of increase does not change. $3$ . a. The population of a town increase from $63200$ by $17\%$

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Percent of change: word problems

Full solution

Q.

2

. In

1960

the population of Indonesia was

88

million. In

2010

the population of Indonesia was

242

million a. Calculate the percentage increase from

1960

to

2010

. b. Estimate the population in

2060

if the rate of increase does not change.

3

. a. The population of a town increase from

63200

by

17\%

Calculate Population Increase: Calculate the increase in population from $1960$ to $2010$ . $\newline$ Increase = Population in $2010$ - Population in $1960$ $\newline$ Increase = $242$ million - $88$ million $\newline$ Increase = $154$ million
Calculate Percentage Increase: Calculate the percentage increase from $1960$ to $2010$ . $\newline$ Percentage Increase = $(\text{Increase} / \text{Population in 1960}) \times 100\%$ $\newline$ Percentage Increase = $(154 \text{ million} / 88 \text{ million}) \times 100\%$ $\newline$ Percentage Increase = $1$ . $75$ \times $100$ \% $\newline$ Percentage Increase = $175$ \%
Estimate Population in $2060$ : Estimate the population in $2060$ using the percentage increase. $\newline$ Population in $2060$ = Population in $2010$ $\times$ ( $1$ + Percentage Increase) $\newline$ Population in $2060$ = $242$ million $\times$ ( $1$ + $1.75$ ) $\newline$ Population in $2060$ = $242$ million $\times$ $2.75$ $\newline$ Population in $2060$ = $665.5$ million
Calculate Town Population Increase: Calculate the population increase of the town by $17\%$ . $\newline$ New Population $=$ Original Population $\times (1 +$ Percentage Increase $)$ $\newline$ New Population $= 63200 \times (1 + 0.17)$ $\newline$ New Population $= 63200 \times 1.17$ $\newline$ New Population $= 73984$

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