Question

Rahul bought a sweater and saved Rs. 20 when a discount of 25% was given. What was the price of the sweater before the discount?

Answer 1

Hint: If we want to solve this question, then first of all we have to assume that the price of the sweater before the discount to be x. Now, we will compare the discount percentage with the money saved by Rahul. After comparison we will try to solve it further, and the answer which we will get will be the price of the sweater before the discount.

Complete step-by-step answer:
Now, we will solve the complete question.
First of all, before solving the question, let us assume the price of the sweater before discount to be x.
Now, if we read the question carefully, then we can understand that the money saved by Rahul will be equal to the discount given for the sweater.
Therefore, we can say that Rs. 20 will be equal to 25% of the price of the sweater before discount.
If we convert the language above into equation we will get,
\[25\%\text{ of x}=20\]
If we try to solve it further, we can see that,
\[\begin{align}
 &\Rightarrow 25\%\text{ of x}=20 \\
 &\Rightarrow 25\times \dfrac{1}{100}\times x=20 \\
 &\Rightarrow \dfrac{x}{4}=20 \\
 &\Rightarrow x=80 \\
\end{align}\]
As we assumed x to be the price of sweater before discount,
So, the price of a sweater bought by Rahul before discount is Rs. 80.

Note: This question many have chances of errors. If someone compares the same price with 100, then the solution will become wrong. Also, a student may fail to solve this question, if he does not have the basic knowledge of comparing quantities and percentage. A lack of knowledge may also lead to the failure in solving this question.