Question

What is the sale price on a \[\$ 150\] item that is on sale for \[25\% \] off?

Answer 1

Hint: Here in this question, we have to find the selling price of an item. 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 original cost of item to get the discount price amount and later subtract discount price by original price to get the required solution.

Complete step by step solution:
Consider the data in given equation
The original cost of an item is \[\$ 150\]
The discount offer on item is 25 percentage \[\left( {25\% } \right)\]
Now we have to find the selling price of an item.
For this, we need to calculate discount price i.e., \[25\% \] of \[\$ 150\]
Firstly, we have to write the percentage term i.e., \[25\% \] into the fraction.
Remember that "per" means "divided by", and "cent" means 100, so "percent" means "divided by 100" or "out of 100."
Therefore \[25\% \] can be written as:
\[ \Rightarrow \,\dfrac{{25}}{{100}}\]
When dealing with percent’s the word "of" means "times" or "to multiply".
Let’s consider the offer or discount price as \[x\]
Putting this all together we can write this equation and solve for \[x\] while keeping the equation balanced:
\[ \Rightarrow \,\,x = \dfrac{{25}}{{100}} \times \$ 150\]
\[ \Rightarrow \,\,x = \dfrac{{25}}{{10}} \times \$ 15\]
\[ \Rightarrow \,\,x = \$ \dfrac{{375}}{{10}}\]
On dividing we get
\[ \Rightarrow \,\,x = \$ \,37.5\]
So, we know that the amount that we save or discount price, to find a selling price just subtract discount price \[x\] by original cost i.e., subtract \[37.5\] from \[150\].
\[ \Rightarrow \,\,150 - 37.5\]
\[ \Rightarrow \,\,112.5\]
Hence, the selling price of an item is \[\$ \,112.5\].
So, the correct answer is “ \[\$ \,112.5\]”.

Note: Here the question is related to the discount. As we know that the percentage term is written as \[x\% = \dfrac{x}{{100}}\] , 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.