Question

Arun bought a pair of stakes at a sale where the discount is given was \[20\% \]. If the amount he pays is Rs.1,600, then find the marked price.

Answer 1

Hint: In this question consider the marked price as a variable. Then find the marked price (MP) of the pair of stakes by using the formula \[{\text{Amount Paid}} = {\text{MP}} - \dfrac{{{\text{Discount Applications of Linear Equations in One Variable% }}}}{{100}} \times {\text{MP}}\]. So, use this concept to reach the solution of the given problem.

Complete step-by step answer:

The amount paid by Arun = Rs. 1600
Percentage of discount = \[20\% \]
Let the marked price (MP) of the pair of stakes be \[{\text{Rs}}{\text{. }}x\]
We know that \[{\text{Amount Paid}} = {\text{MP}} - \dfrac{{{\text{Discount% }}}}{{100}} \times {\text{MP}}\]
\[
   \Rightarrow 1600 = x - \dfrac{{20}}{{100}} \times x \\
   \Rightarrow 1600 = \dfrac{{100x - 20x}}{{100}} \\
   \Rightarrow 1600 = \dfrac{{80x}}{{100}} \\
   \Rightarrow x = 1600 \times \dfrac{{100}}{{80}} \\
  \therefore x = 2000 \\
\]
Thus, the marked price of the pair of stakes is Rs. 2000.

Note: As Arun got a discount on the pair of stakes, the amount paid by Arun is always less than the marked price on the pair of stakes. The price on the label of an article/product is called the marked price or list price. This the price at which product is intended to be sold.