How do I solve a problem dealing with percentages?
Example: 10% of $50.00
It's become very frustrating because Google says this is the formula:
\[ \text{Sale price} = \text{Original price} \times (1 - \text{Percent off}) \]
I really don't understand how the formula works.
Answer (3)
Okay ....
Lets say you got a discount of **20% **on a **40 **dollar bike ....
To get the answer of how much off the bike is multiple 40 and 20%
In math if you are about to multiply a percent to a whole number put **a decimal in front **of it.
*Example : *
**.20 × 40 = 8 **
So the bike is** 8** dollars off
If you want to find the new price after the discount just subtract the answer ( 8 )
**40 ( the original price ) - 8 ( the discount total ) **
The answer would be 32
The new price for the bike adding the discount would be $32.oo
To solve a problem involving percentages, convert the percentage to a decimal and multiply it by the amount. For example, to find 10% of $50.00, multiply $50.00 by 0.10 to get $5.00. For situations such as calculating sales tax, multiply the decimal form of the tax rate by the price, and add the result to the original price to get the total cost.
Understanding How to Solve Problems Dealing with Percentages
To solve a problem involving percentages, such as finding 10% of $50.00, you need to convert the percentage into a decimal and then multiply by the amount in question. The formula given, Sale price = Original price imes (1 - Percent off), is for calculating the sale price after a discount, not for calculating a tax or a simple percentage of an amount.
To calculate 10% of $50.00, convert 10% to a decimal, which is 0.10 (since percent means per hundred, you divide by 100), and then multiply by $50.00:
$50.00 times 0.10 = $5.00
Similarly, if you want to calculate an amount with sales tax added, first find the amount of sales tax by converting the percent to a decimal. For example, for a $150.00 item with a 10% sales tax, you would calculate:
$150.00 times 0.10 = $15.00
Then, add this sales tax amount to the original price to find the total amount payable:
$150.00 + $15.00 = $165.00
To find a percentage, convert it to a decimal by dividing by 100 and multiply it by the total amount. For example, to find 10% of $50.00, calculate 0.10 × 50 = $5.00. To find the sale price after a discount, subtract the discount from the original price using the formula Sale price = Original price × (1 - Percent off).
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