Question

After 20% discount, the selling price of a geometry box becomes Rs.48. The market price of the geometric box is
A. 60
B. 75
C. 80
D. 50

Answer 1

Hint: We will first suppose the market price to be a variable and then, we will find the discount amount in terms of the variable by using the given percentage of discount. The amount obtained by subtracting the discount amount from market price will be equal to selling price.

Complete step-by-step answer:
We have been given that, after a 20% discount, the selling price of a geometry box becomes Rs.48 so, we have to find the market price of that geometric box.
Let us suppose the market price of geometric box to be Rs. x
So, now we can apply the 20% discount on Rs. x and get the discount amount as shown below,
\[\begin{align}
  & \Rightarrow 20\%\text{ of x} \\
 & \Rightarrow \dfrac{20}{100}\times x=\dfrac{x}{5} \\
\end{align}\]
Now, we know that, selling price will be equal to the difference of market price and discount amount of the geometric box. So, we get
Selling price = Market price - Discount
We have been given that the selling price is equal to Rs.48 and we also have the discount amount. So, we can substitute these and get
\[\begin{align}
  & \Rightarrow 48=x-\dfrac{x}{5} \\
 & \Rightarrow 48=\dfrac{5x-x}{5} \\
\end{align}\]
On cross multiplication, we get,
 \[\begin{align}
  & \Rightarrow 48\times 5=4x \\
 & \Rightarrow \dfrac{48\times 5}{4}=x \\
 & \Rightarrow x=60 \\
\end{align}\]
Hence, the market price will be equal to Rs.60
Therefore, the correct option is A.

Note: Sometimes by mistake we take 20% discount on the selling price and add them to get market price, which gives us a wrong answer, as we know that market price is the price for which a good or service is offered in the market price (without discount).