Question

Find the marked price of an almirah which is sold at Rs.5225 after allowing a discount of 5%.
A.Rs.5500
B.Rs.5300
C.RS.5600
D.Rs.5400

Answer 1

Hint: In this question, we need to determine the marked price of the almirah which has been sold at Rs.5225 after allowing a discount of 5% to the customer. For this, we will use the relation between the selling price and the marked price of a product.

Complete step-by-step answer:
Marked price is the price which has been fixed (or, marked on the product) by the seller in the virtue of selling it.
Discounts are always allowed to the consumer on the marked price of the products as a result of which the cost price of the product for the consumer becomes less.
The difference in the marked price and the discount results in the selling price of the product for the seller. Mathematically, $ MP - Discount = SP $ .
Let the marked price of the almirah be ‘x’, then the discount offered to the customer on almirah will be 5% of x which is equal to 0.05x.
According to the question, the selling price of the almirah is Rs.5225.
So, substituting the values in the equation $ MP - Discount = SP $ to determine the value of the marked price of the almirah.
\[
\Rightarrow MP - Discount = SP \\
\Rightarrow x - 5\% x = 5225 \\
\Rightarrow x(1 - 0.05) = 5225 \\
\Rightarrow x = \dfrac{{5225}}{{0.95}} \\
   = 5500 \\
 \]
Hence, the marked price of the almirah is Rs.5500.

So, the correct answer is “Option A”.

Note: It is to be noted here that the selling price of the product is always less than the marked price. Many times we have seen that the product comes with MRP which means that it is the maximum retail price of the product and it cannot be exceeded.