Percent of Change

Question 1 of 4

What is the percent increase from

$ 250

$$250$ to

$ 300

$$300$ ?

(20) $%$ $%$

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Percent Increase Between Two Amounts

$\mathsf{percent\;increase}=\mathsf{\frac{\color{#9a00c7}{increase}}{\color{#00880A}{original}}}\times\frac{100}{1}$

Amount of Increase

$\mathsf{\color{#9a00c7}{increase}}=\mathsf{\color{#007DDC}{new\;amount}}-\mathsf{\color{#00880A}{original}}$

First, find the increase by using the formula for it.

new amount

$=$300$

original

$=$250$

$\mathsf{\color{#9a00c7}{increase}}$	$=$	$\mathsf{\color{#007DDC}{new\;amount}}-\mathsf{\color{#00880A}{original}}$
	$=$	$$300-$250$
	$=$	$$50$

Finally, use the formula to get the percent increase

$\mathsf{percent\;increase}$	$=$	$\mathsf{\frac{\color{#9a00c7}{increase}}{\color{#00880A}{original}}}\times\frac{100}{1}$

	$=$	$\frac{\color{#9a00c7}{50}}{\color{#00880A}{250}}\times\frac{100}{1}$

	$=$	$\frac{5}{25}\times\frac{100}{1}$	Cancel the zeroes

	$=$	$\frac{5\div\color{#CC0000}{5}}{25\div\color{#CC0000}{5}}\times\frac{100}{1}$

	$=$	$\frac{1}{5}\times\frac{100}{1}$

	$=$	$\frac{100}{5}$

	$=$	$20%$

$20%$

Question 2 of 4

What is the percent increase from

$30 \text(kg)$ to

$150 \text(kg)$ ?

(400) $%$

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Percent Increase Between Two Amounts

$\mathsf{percent\;increase}=\mathsf{\frac{\color{#9a00c7}{increase}}{\color{#00880A}{original}}}\times\frac{100}{1}$

Amount of Increase

$\mathsf{\color{#9a00c7}{increase}}=\mathsf{\color{#007DDC}{new\;amount}}-\mathsf{\color{#00880A}{original}}$

First, find the increase by using the formula for it.

new amount

$=150 \text(kg)$

original

$=30 \text(kg)$

$\mathsf{\color{#9a00c7}{increase}}$	$=$	$\mathsf{\color{#007DDC}{new\;amount}}-\mathsf{\color{#00880A}{original}}$
	$=$	$150 \text(kg)-30 \text(kg)$
	$=$	$120 \text(kg)$

Finally, use the formula to get the percent increase

$\mathsf{percent\;increase}$	$=$	$\mathsf{\frac{\color{#9a00c7}{increase}}{\color{#00880A}{original}}}\times\frac{100}{1}$

	$=$	$\frac{\color{#9a00c7}{120}}{\color{#00880A}{30}}\times\frac{100}{1}$

	$=$	$\frac{12}{3}\times\frac{100}{1}$	Cancel the zeroes

	$=$	$\frac{12\div\color{#CC0000}{3}}{3\div\color{#CC0000}{3}}\times\frac{100}{1}$

	$=$	$\frac{4}{1}\times\frac{100}{1}$

	$=$	$\frac{400}{1}$

	$=$	$400%$

$400%$

Question 3 of 4

What is the percent decrease from

$72 \text(m)$ to

$36 \text(m)$ ?

(50) $%$

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Percent Decrease Between Two Amounts

$\mathsf{percent\;decrease}=\mathsf{\frac{\color{#e85e00}{decrease}}{\color{#00880A}{original}}}\times\frac{100}{1}$

Amount of Decrease

$\mathsf{\color{#e85e00}{decrease}}=\mathsf{\color{#00880A}{original}}-\mathsf{\color{#007DDC}{new\;amount}}$

First, find the decrease by using the formula for it.

new amount

$=36 \text(m)$

original

$=72 \text(m)$

$\mathsf{\color{#e85e00}{decrease}}$	$=$	$\mathsf{\color{#00880A}{original}}-\mathsf{\color{#007DDC}{new\;amount}}$
	$=$	$72-36$
	$=$	$36 \text(m)$

Finally, use the formula to get the percent decrease

$\mathsf{percent\;decrease}$	$=$	$\mathsf{\frac{\color{#e85e00}{decrease}}{\color{#00880A}{original}}}\times\frac{100}{1}$

	$=$	$\frac{\color{#e85e00}{36}}{\color{#00880A}{72}}\times\frac{100}{1}$

	$=$	$\frac{36\div\color{#CC0000}{36}}{72\div\color{#CC0000}{36}}\times\frac{100}{1}$

	$=$	$\frac{1}{2}\times\frac{100}{1}$

	$=$	$\frac{100}{2}$

	$=$	$50%$

$50%$

Question 4 of 4

What is the percent decrease from

$35 \text(km)$ to

$7 \text(km)$ ?

(80) $%$

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Percent Decrease Between Two Amounts

$\mathsf{percent\;decrease}=\mathsf{\frac{\color{#e85e00}{decrease}}{\color{#00880A}{original}}}\times\frac{100}{1}$

Amount of Decrease

$\mathsf{\color{#e85e00}{decrease}}=\mathsf{\color{#00880A}{original}}-\mathsf{\color{#007DDC}{new\;amount}}$

First, find the decrease by using the formula for it.

new amount

$=7 \text(km)$

original

$=35 \text(km)$

$\mathsf{\color{#e85e00}{decrease}}$	$=$	$\mathsf{\color{#00880A}{original}}-\mathsf{\color{#007DDC}{new\;amount}}$
	$=$	$35-7$
	$=$	$28 \text(km)$

Finally, use the formula to get the percent decrease

$\mathsf{percent\;decrease}$	$=$	$\mathsf{\frac{\color{#e85e00}{decrease}}{\color{#00880A}{original}}}\times\frac{100}{1}$

	$=$	$\frac{\color{#e85e00}{28}}{\color{#00880A}{35}}\times\frac{100}{1}$

	$=$	$\frac{28\div\color{#CC0000}{7}}{35\div\color{#CC0000}{7}}\times\frac{100}{1}$

	$=$	$\frac{4}{5}\times\frac{100}{1}$

	$=$	$\frac{400}{5}$

	$=$	$80%$

$80%$

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Quiz summary

Information

1. Question

Hint

Great Work!

Percent Increase Between Two Amounts

Amount of Increase

2. Question

Hint

Correct!

Percent Increase Between Two Amounts

Amount of Increase

3. Question

Hint

Keep Going!

Percent Decrease Between Two Amounts

Amount of Decrease

4. Question

Hint

Fantastic!

Percent Decrease Between Two Amounts

Amount of Decrease

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