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What is the percent of change from $50$ to $46$ ? $\newline$ Choices: $\newline$ (A) $4\%$ increase $\newline$ (B) $8\%$ decrease $\newline$ (C) $4\%$ decrease $\newline$ (D) $8\%$ increase

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Percent of change

Full solution

Q. What is the percent of change from

50

to

46

?

\newline

Choices:

\newline

(A)

4\%

increase

\newline

(B)

8\%

decrease

\newline

(C)

4\%

decrease

\newline

(D)

8\%

increase

Calculate Difference: Step $1$ : Calculate the difference between the initial and final values. $\newline$ Initial value: $50$ $\newline$ Final value: $46$ $\newline$ Difference = Final value - Initial value = $46 - 50 = -4$ $\newline$ Amount of change is $-4$ .
Calculate Percent Change: Step $2$ : Calculate the percent of change. $\newline$ Original amount: $50$ $\newline$ Percent of change = $(\text{Amount of change} / \text{Original amount}) \times 100\%$ $\newline$ Percent of change = $(-4 / 50) \times 100\%$ $\newline$ $= -0.08 \times 100\%$ $\newline$ $= -8\%$ $\newline$ Since the result is negative, it indicates a decrease.

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