Question

Arun bought a pair of skates at a sale where the discount given was 20%. If the amount he pays is ₹1,600, find the marked price.

Answer 1

Step 1 : Assigning a variable to the unknown quantity.

Let the marked price be x

Step 2: Framing the equation.
Discount % $=\frac{\text{Discount}}{\text{Marked price}}\times 100$

$20=\frac{\text{Discount}}{x}\times 100$
Also,
Discount = Marked price - Selling price
$=x-1600$

Step 3: Solving the equation.
Discount % $=\frac{\text{Discount}}{\text{Marked price}}\times 100$
Discount $\frac{20}{100}\times x=\frac{x}{5}$
Also,
Discount = Marked price - Selling price
$\frac{x}{5}=x-1600$
$1600=x-\frac{x}{5}$
$1600=\frac{5x-x}{5}=\frac{4x}{5}$
$x=\frac{1600\times 5}{4}$
$x=2000$
Therefore, the marked price was ₹2000.