Question

A $\$12.25$ pen is set for a $60\%$ discount. How much is it?

Answer 1

Hint: We are given a price of a pen which is $\$12.25$, on which we have a discount of $60\%$. So, the discount amount is calculated by multiplying $\$12.25$ by $60\%$, that is, \[12.25\times \dfrac{60}{100}\]. We get it as , \[\$7.35\]. Now, we will subtract the original price by the discount amount and hence, we have the new selling price of the pen.

Complete step-by-step answer:
According to the given question, we are given a selling price of a pen and the discount percentage. We have to find the new price of the pen after reducing the discount amount from the original price.
So, the original selling price of the pen is $\$12.25$.
The discount percentage given is $60\%$.
We have to calculate the discount amount, to calculate the new selling price of the pen.
Discount amount = $60\%$ of $\$12.25$
Discount amount \[=12.25\times \dfrac{60}{100}\]
Multiplying 12.25 with 60, we get,
\[\Rightarrow \dfrac{12.25\times 60}{100}\]
\[\Rightarrow \dfrac{735}{100}\]
Now, we will divide the 735 with 100 in the denominator, we get,
\[\Rightarrow 7.35\]
So, the discount amount is \[\$7.35\].
Now, to find the new selling price of the pen, we will subtract the discount amount from the original price. We have,
New selling price = Original price – discount amount
New selling price \[=12.25-7.35\]
New selling price \[=4.90\]
Therefore, the new selling price of the pen is \[\$4.90\].

Note: When we calculate to find the discount amount, we must be sure of the fact that the discount amount is not the new price of the pen. But it is the amount which has to be reduced from the original price to get the new selling price. Often, this mistake is repeated, so it should be carefully done.