Percent Increase and Decrease - SSAT Middle Level: Quantitative
Card 1 of 22
Identify the multiplier for a $25%$ increase.
Identify the multiplier for a $25%$ increase.
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$1.25$. Converting $25%$ to $0.25$ and adding to $1$ yields the growth factor.
$1.25$. Converting $25%$ to $0.25$ and adding to $1$ yields the growth factor.
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Identify the multiplier for a $25%$ decrease.
Identify the multiplier for a $25%$ decrease.
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$0.75$. Converting $25%$ to $0.25$ and subtracting from $1$ yields the reduction factor.
$0.75$. Converting $25%$ to $0.25$ and subtracting from $1$ yields the reduction factor.
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State the formula for the percent change from an original value $O$ to a new value $N$.
State the formula for the percent change from an original value $O$ to a new value $N$.
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$\frac{N-O}{O}\times 100%$. The formula computes the relative change by dividing the difference by the original value and converting to a percentage.
$\frac{N-O}{O}\times 100%$. The formula computes the relative change by dividing the difference by the original value and converting to a percentage.
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State the formula for the new value after a percent increase of $r%$ from original $O$.
State the formula for the new value after a percent increase of $r%$ from original $O$.
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$N=O\left(1+\frac{r}{100}\right)$. The formula applies the increase multiplier to the original value to find the new amount.
$N=O\left(1+\frac{r}{100}\right)$. The formula applies the increase multiplier to the original value to find the new amount.
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State the formula for the new value after a percent decrease of $r%$ from original $O$.
State the formula for the new value after a percent decrease of $r%$ from original $O$.
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$N=O\left(1-\frac{r}{100}\right)$. The formula applies the decrease multiplier to the original value to find the new amount.
$N=O\left(1-\frac{r}{100}\right)$. The formula applies the decrease multiplier to the original value to find the new amount.
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What is the multiplier for increasing a value by $r%$?
What is the multiplier for increasing a value by $r%$?
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$1+\frac{r}{100}$. Adding the decimal form of the percentage to 1 gives the factor by which the original value grows.
$1+\frac{r}{100}$. Adding the decimal form of the percentage to 1 gives the factor by which the original value grows.
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What is the multiplier for decreasing a value by $r%$?
What is the multiplier for decreasing a value by $r%$?
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$1-\frac{r}{100}$. Subtracting the decimal form of the percentage from 1 gives the factor by which the original value shrinks.
$1-\frac{r}{100}$. Subtracting the decimal form of the percentage from 1 gives the factor by which the original value shrinks.
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Identify the multiplier for a $10%$ increase.
Identify the multiplier for a $10%$ increase.
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$1.10$. Converting $10%$ to $0.10$ and adding to $1$ yields the growth factor.
$1.10$. Converting $10%$ to $0.10$ and adding to $1$ yields the growth factor.
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Identify the multiplier for a $10%$ decrease.
Identify the multiplier for a $10%$ decrease.
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$0.90$. Converting $10%$ to $0.10$ and subtracting from $1$ yields the reduction factor.
$0.90$. Converting $10%$ to $0.10$ and subtracting from $1$ yields the reduction factor.
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What is the percent increase from $40$ to $50$?
What is the percent increase from $40$ to $50$?
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$25%$. The change of $10$ divided by the original $40$ equals $0.25$, or $25%$.
$25%$. The change of $10$ divided by the original $40$ equals $0.25$, or $25%$.
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What is the percent decrease from $80$ to $60$?
What is the percent decrease from $80$ to $60$?
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$25%$. The change of $-20$ divided by the original $80$ equals $-0.25$, so a $25%$ decrease.
$25%$. The change of $-20$ divided by the original $80$ equals $-0.25$, so a $25%$ decrease.
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What is the new value when $120$ is increased by $15%$?
What is the new value when $120$ is increased by $15%$?
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$138$. Multiplying $120$ by the $15%$ increase multiplier of $1.15$ gives the new value.
$138$. Multiplying $120$ by the $15%$ increase multiplier of $1.15$ gives the new value.
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What is the new value when $200$ is decreased by $30%$?
What is the new value when $200$ is decreased by $30%$?
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$140$. Multiplying $200$ by the $30%$ decrease multiplier of $0.7$ gives the new value.
$140$. Multiplying $200$ by the $30%$ decrease multiplier of $0.7$ gives the new value.
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What is the original value if the new value is $84$ after a $20%$ decrease?
What is the original value if the new value is $84$ after a $20%$ decrease?
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$105$. Dividing $84$ by the remaining factor of $0.8$ after a $20%$ decrease recovers the original.
$105$. Dividing $84$ by the remaining factor of $0.8$ after a $20%$ decrease recovers the original.
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What is the original value if the new value is $132$ after a $10%$ increase?
What is the original value if the new value is $132$ after a $10%$ increase?
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$120$. Dividing $132$ by the growth factor of $1.1$ after a $10%$ increase recovers the original.
$120$. Dividing $132$ by the growth factor of $1.1$ after a $10%$ increase recovers the original.
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What percent of the original remains after a $35%$ decrease?
What percent of the original remains after a $35%$ decrease?
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$65%$. Subtracting $35%$ from $100%$ leaves the portion of the original that remains.
$65%$. Subtracting $35%$ from $100%$ leaves the portion of the original that remains.
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What percent of the original is the new value after a $12%$ increase?
What percent of the original is the new value after a $12%$ increase?
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$112%$. Adding $12%$ to $100%$ gives the new value as a percentage of the original.
$112%$. Adding $12%$ to $100%$ gives the new value as a percentage of the original.
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What is the percent change from $50$ to $40$ (include the sign)?
What is the percent change from $50$ to $40$ (include the sign)?
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$-20%$. The change of $-10$ divided by the original $50$ equals $-0.2$, or $-20%$.
$-20%$. The change of $-10$ divided by the original $50$ equals $-0.2$, or $-20%$.
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What is the percent change from $30$ to $45$ (include the sign)?
What is the percent change from $30$ to $45$ (include the sign)?
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$+50%$. The change of $15$ divided by the original $30$ equals $0.5$, or $+50%$.
$+50%$. The change of $15$ divided by the original $30$ equals $0.5$, or $+50%$.
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What is the final price after a $25%$ discount on $80$ dollars?
What is the final price after a $25%$ discount on $80$ dollars?
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$60$. Multiplying $80$ by the $25%$ discount factor of $0.75$ gives the discounted price.
$60$. Multiplying $80$ by the $25%$ discount factor of $0.75$ gives the discounted price.
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What is the price before a $15%$ discount if the sale price is $85$ dollars?
What is the price before a $15%$ discount if the sale price is $85$ dollars?
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$100$. Dividing $85$ by the remaining factor of $0.85$ after a $15%$ discount recovers the original price.
$100$. Dividing $85$ by the remaining factor of $0.85$ after a $15%$ discount recovers the original price.
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Identify the percent increase from $60$ to $75$.
Identify the percent increase from $60$ to $75$.
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$25%$. The change of $15$ divided by the original $60$ equals $0.25$, or $25%$.
$25%$. The change of $15$ divided by the original $60$ equals $0.25$, or $25%$.
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