Question

Maria paid Rs. 28.00 for a jacket that was discounted by 30%. What was the original price of the jacket?
(a) Rs. 36.00
(b) Rs. 47.60
(c) Rs, 40.00
(d) Rs. 42.50

Answer 1

Hint: Assume the original price of the jacket purchased by Maria as x. Now, to find the original price of the jacket, subtract 30% of x from x and equate the obtained expression with Rs. 28. Form a linear equation in x and solve for its value to get the answer.

Complete step by step solution:
Here we have been provided with the price at which Maria purchased a jacket. We are asked to calculate the original price of the jacket if she received a discount of 30% on the price of jacket.
Let us assume the original price of the jacket that Maria purchased as x. Now, here the original price means that if there were no discount on the jacket then what would be the price that Maria should have been paid for the jacket. Since, she paid Rs. 28 for the jacket and the discount was 30% that means the amount that got deducted from the original price (x) is 30% of x, therefore we get,
$\Rightarrow $ Price of jacket after the discount = x – (30% of x)
Substituting the value of the paid price, that is Rs. 28, we get,
$\begin{align}
  & \Rightarrow x-\left( \dfrac{30}{100}\times x \right)=28 \\
 & \Rightarrow x-\dfrac{3x}{10}=28 \\
 & \Rightarrow \dfrac{7x}{10}=28 \\
\end{align}$
Solving the above linear equation in x to find its value we get,
$\begin{align}
  & \Rightarrow x=\dfrac{28\times 10}{7} \\
 & \therefore x=40 \\
\end{align}$
Therefore, the original price of the jacket is Rs. 40.

So, the correct answer is “Option c”.

Note: Note that you must not add Rs. 28 with its 30% to get the answer because the discount is always given on the original price of the article. Here we cannot find the loss or gain on the jacket because we haven’t been provided with the cost price of the jacket that was purchased by the shopkeeper. However, remember that when the cost price is greater than the selling price then there is loss and when the selling price is greater than the cost price then profit occurs.