Question

If Aparna got a Rs.25 discount on purchasing a book of Rs.225, then the discount percentage is?

Answer 1

Hint: Discount price is the price we had to give after decreasing the discount price from the original price. Means the discount price will always be less than the original price. So according to the concept of calculating discount price and percent; \[original\text{ }price-\text{ }discount\text{ }=\text{ }discount\text{ }price~\]. And for discount percent; discount price upon original price multiplied by 100, i.e.$\text{discount }\!\!~\!\!\text{ percent}=\dfrac{\text{discount}}{\text{original }\!\!~\!\!\text{ price}}\times 100$

Complete step by step answer:
So moving further with our question; it says that Aparna got a Rs.25 discount from the original price of Rs.225, so Rs.25 will be the discount price. So for the price aparna had to pay or the price after the discount will be applied will be; \[\begin{align}
  & original\text{ }price-\text{ }discount\text{ }=\text{ }discount\text{ }price~ \\
 & 225-25=200 \\
\end{align}\]
So, Rs.200 is the price aparna will pay to purchase the book.
Now, for the discount percent, we know that for calculating discount percent $\text{discount }\!\!~\!\!\text{ percent}=\dfrac{\text{discount}}{\text{original }\!\!~\!\!\text{ price}}\times 100$
Putting the value in the formula of discount percent calculation and solving it further, we will get;
$\begin{align}
  & \text{discount }\!\!~\!\!\text{ percent}=\dfrac{25}{\text{225}}\times 100\% \\
 & \text{discount }\!\!~\!\!\text{ percent}=\dfrac{2500}{\text{225}}\% \\
 & \text{discount }\!\!~\!\!\text{ percent}=11.11\% \\
\end{align}$
Hence, $11.11\%$ is the discount percentage Aparna will get on purchasing a book.

Note: While calculating the discount percent do not forget to multiply with 100, as it is a very common mistake we usually forget. Moreover, if we will not multiply it by 100 then we ratio we will get, is called the discount ratio. So if we are asked to find a discount ratio then we can go with a discount percent without multiplying by 100.