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A local gym had $54$ members last quarter. This quarter, with a change in its rates, it has $81$ members. What is the percent of increase in the number of members? $\newline$ $\_\_\_\_\%$

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Percent of change: word problems

Full solution

Q. A local gym had

54

members last quarter. This quarter, with a change in its rates, it has

81

members. What is the percent of increase in the number of members?

\newline

\_\_\_\_\%

Calculate Difference: Calculate the difference in the number of members between the two quarters. $\newline$ $54$ members last quarter and $81$ members this quarter. $\newline$ Difference = $81 - 54 = 27$ members.
Calculate Percentage Increase: Calculate the percentage increase based on the original number of members. $\newline$ Percentage increase = $(\frac{\text{Difference}}{\text{Original number of members}}) \times 100\%$ $\newline$ = $(\frac{27}{54}) \times 100\%$ $\newline$ = $0.5 \times 100\%$ $\newline$ = $50\%$

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