Question

Juhi sells a washing machine for INR 13,500. She loses 20% in the bargain. What was the price at which she bought it?

Answer 1

Hint: In this question we have to find the cost price of a washing machine. Apply the formula for loss i.e. loss = cost price – selling price and calculate cost price indirectly.

Complete step-by-step answer:
Selling price of washing machine = 13,500
Lest cost price of washing machine be $'x'$
Selling price after 20% loss
$
   = x - 20\% {\text{ of }}x \\
   = x - \dfrac{{20}}{{100}}x \\
   = \dfrac{{100x - 20x}}{{100}} \\
   = \dfrac{{80}}{{100}}x \\
$
Now,
Selling price = 13500
$
  \dfrac{{80}}{{100}}x = 13500 \\
  x = 13500 \times \dfrac{{100}}{{80}} \\
  x = 13500 \times \dfrac{5}{4} \\
  x = {\text{Rs }}16875 \\
$
Therefore, the cost price of a washing Machine is Rs 16,875.

Note: In order to solve such questions always try to consider the missing terms amongst cost price and selling price or the term to be found out as some unknown variable. Then use the statements to find some algebraic equations and solve them as solving algebraic equations are rather easy.