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What is the percent of change from $96$ to $24$ ? $\newline$ Choices: $\newline$ (A) $75\%$ increase $\newline$ (B) $68\%$ decrease $\newline$ (C) $75\%$ decrease $\newline$ (D) $68\%$ increase

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Percent of change

Full solution

Q. What is the percent of change from

96

to

24

?

\newline

Choices:

\newline

(A)

75\%

increase

\newline

(B)

68\%

decrease

\newline

(C)

75\%

decrease

\newline

(D)

68\%

increase

Calculate Difference: Step $1$ : Calculate the difference between the final and initial values. $\newline$ Initial value: $96$ $\newline$ Final value: $24$ $\newline$ Difference = Final value - Initial value = $24 - 96 = -72$ $\newline$ Amount of change is $-72$ .
Calculate Percent of Change: Step $2$ : Calculate the percent of change. $\newline$ Amount of change: $-72$ $\newline$ Original amount: $96$ $\newline$ Percent of change = $\frac{\text{Amount of change}}{\text{Original amount}}$ $\times 100\%$ $\newline$ Percent of change = $\frac{-72}{96}$ $\times 100\%$ $\newline$ = $-0.75 \times 100\%$ $\newline$ = $-75\%$ $\newline$ This shows a decrease because the result is negative.

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