Question

A keyboard that costs $$\mathrm{\$}475$$ is marked down $$15\mathrm{\%}$$ for a sale. How much is the savings?

Answer 1

Hint: Here in this question, we have to find the money saving in the cost of a keyboard. For finding this we have to use the method of percentage simplification. Firstly, we have to write the given percentage term into fraction form and multiply this fraction with cost of the keyboard using the arithmetic operation. On simplification we get the required solution.

Complete step by step solution:
Consider the data in given equation
The cost of a keyboard is $$\mathrm{\$}475$$ .
The discount on keyboard cost is 15 percentage $$\left(15\mathrm{\%}\right)$$
Now we have to find how much money saving the cost of a keyboard will cost.
For this, we need to calculate $$15\mathrm{\%}$$ of $$\mathrm{\$}475$$ to see what the savings are:
Firstly, we have to write the percentage term i.e., $$15\mathrm{\%}$$ into the fraction.
Remember that "per" means "divided by", and "cent" means 100, so "percent" means "divided by 100" or "out of 100."
Therefore $$15\mathrm{\%}$$ can be written as:
 $$\Rightarrow {\displaystyle \frac{15}{100}}$$
When dealing with percent’s the word "of" means "times" or "to multiply".
Let’s consider the saving money as $$x$$
Putting this all together we can write this equation and solve for $$x$$ while keeping the equation balanced:
 $$\Rightarrow x={\displaystyle \frac{15}{100}}\times \mathrm{\$}475$$
 $$\Rightarrow x=\mathrm{\$}{\displaystyle \frac{7,125}{100}}$$
On dividing we get
 $$\Rightarrow x=\mathrm{\$}71.25$$
Hence, the savings are $$\mathrm{\$}71.25$$ in the cost of a keyboard.
So, the correct answer is “ $$\mathrm{\$}71.25$$”.

Note: Here the question is related to the discount. As we know that the percentage term is written as $$x\mathrm{\%}={\displaystyle \frac{x}{100}}$$ , here the cost price of the keyboard is given and the discount percentage is also mentioned. on the marked price the discount will be reduced and that will be the savings.