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A plant was $20\,\text{cm}$ tall last month. This month, it grew by $25\%$ . What is its height this month?

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Percent of change: word problems

Full solution

Q. A plant was

20\,\text{cm}

tall last month. This month, it grew by

25\%

. What is its height this month?

Calculate growth in centimeters: Calculate the growth of the plant in centimeters. $\newline$ The plant grew by $25\%$ of its original height last month, which was $20\,\text{cm}$ . $\newline$ Growth = $25\%$ of $20\,\text{cm}$ = $(25/100) \times 20\,\text{cm}$ $\newline$ = $0.25 \times 20\,\text{cm}$ $\newline$ = $5\,\text{cm}$
Find new height: Add the growth to the original height to find the new height. $\newline$ Original height = $20\,\text{cm}$ $\newline$ Growth = $5\,\text{cm}$ $\newline$ New height = Original height + Growth $\newline$ = $20\,\text{cm} + 5\,\text{cm}$ $\newline$ = $25\,\text{cm}$

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