Question

name_______ period____ date_______ page 1 of 2
percentage (3)
finding a number that is some percent more or less:

1. 20% more than what number is 30?\t\t2. 45% less than what number is 100?
2. 12.5% less than what number is 259?\t\t4. 20% more than what number is 183?
3. 37.5% less than what number is 21?\t\t6. 32% less than what number is 229.5?
4. 87.5% more than what number is 2052?\t\t8. 72% less than what number is 560?
5. 60% more than what number is 533?\t\t10. 55% less than what number is 252?
6. the price of a bicycle after a 25% discount is $679.99. what was the original price?

round to the nearest cent.

1. after a tune up a car produced 5% more horsepower. if the horsepower after the tune up

is 525, what was the horsepower before the tune up?

1. the new model of a car is 12% cheaper than the previous model. if the current model

costs $56300, what was the price of the previous model? round to the nearest cent.

1. after a 7% raise in weekly salary, matt is now making $1450 per week. what was matt’s

weekly salary before the raise? round to the nearest cent.

Explanation:

Step1: Define unknown as $x$, set up equation

Let the number be $x$. 20% more than $x$ is $1.2x$, so:
$1.2x = 30$

Step2: Solve for $x$

$x = \frac{30}{1.2} = 25$

Step1: Define unknown as $x$, set up equation

Let the number be $x$. 45% less than $x$ is $0.55x$, so:
$0.55x = 100$

Step2: Solve for $x$

$x = \frac{100}{0.55} \approx 181.82$

Step1: Define unknown as $x$, set up equation

Let the number be $x$. 12.5% less than $x$ is $0.875x$, so:
$0.875x = 259$

Step2: Solve for $x$

$x = \frac{259}{0.875} = 296$

Step1: Define unknown as $x$, set up equation

Let the number be $x$. 20% more than $x$ is $1.2x$, so:
$1.2x = 183$

Step2: Solve for $x$

$x = \frac{183}{1.2} = 152.5$

Step1: Define unknown as $x$, set up equation

Let the number be $x$. 37.5% less than $x$ is $0.625x$, so:
$0.625x = 21$

Step2: Solve for $x$

$x = \frac{21}{0.625} = 33.6$

Step1: Define unknown as $x$, set up equation

Let the number be $x$. 32% less than $x$ is $0.68x$, so:
$0.68x = 229.5$

Step2: Solve for $x$

$x = \frac{229.5}{0.68} = 337.5$

Step1: Define unknown as $x$, set up equation

Let the number be $x$. 87.5% more than $x$ is $1.875x$, so:
$1.875x = 2052$

Step2: Solve for $x$

$x = \frac{2052}{1.875} = 1094.4$

Step1: Define unknown as $x$, set up equation

Let the number be $x$. 72% less than $x$ is $0.28x$, so:
$0.28x = 560$

Step2: Solve for $x$

$x = \frac{560}{0.28} = 2000$

Step1: Define unknown as $x$, set up equation

Let the number be $x$. 60% more than $x$ is $1.6x$, so:
$1.6x = 533$

Step2: Solve for $x$

$x = \frac{533}{1.6} = 333.125$

Step1: Define unknown as $x$, set up equation

Let the number be $x$. 55% less than $x$ is $0.45x$, so:
$0.45x = 252$

Step2: Solve for $x$

$x = \frac{252}{0.45} = 560$

Step1: Define original price as $x$, set up equation

25% discount means price is $0.75x$, so:
$0.75x = 679.99$

Step2: Solve for $x$

$x = \frac{679.99}{0.75} \approx 906.65$

Step1: Define original hp as $x$, set up equation

5% more hp means $1.05x$, so:
$1.05x = 525$

Step2: Solve for $x$

$x = \frac{525}{1.05} = 500$

Step1: Define old price as $x$, set up equation

12% cheaper means price is $0.88x$, so:
$0.88x = 56300$

Step2: Solve for $x$

$x = \frac{56300}{0.88} \approx 63977.27$

Step1: Define old salary as $x$, set up equation

7% raise means salary is $1.07x$, so:
$1.07x = 1450$

Step2: Solve for $x$

$x = \frac{1450}{1.07} \approx 1355.14$

Answer:

1. 25
2. $\approx 181.82$
3. 296
4. 152.5
5. 33.6
6. 337.5
7. 1094.4
8. 2000
9. 333.125
10. 560
11. $\$906.65$
12. 500
13. $\$63977.27$
14. $\$1355.14$