Question & Answer
QUESTION

An Almirah is sold at 5,225 after allowing a discount of 5%. Find the marked price.

ANSWER Verified Verified
Hint – In this question let the marked price of the almirah be Rs x. Use the concept that selling price is the difference of marked price and the discount of the marked price, to obtain the variable.

Complete step-by-step answer:
Given data
Selling price of almirah = Rs. 5225
Discount = 5%.
Let the marked price of almirah be x Rs.
Now as we know that discount is always on the marked price.
Therefore selling price is equal to the difference of marked price and 5% of marked price.
So construct the linear equation according to this information we have,
\[ \Rightarrow 5225 = x - \dfrac{5}{{100}}x\]
Now simplify the above equation we have,
\[ \Rightarrow 5225 = x - \dfrac{1}{{20}}x\]
\[ \Rightarrow 5225 = \dfrac{{19}}{{20}}x\]
$ \Rightarrow x = \dfrac{{5225 \times 20}}{{19}} = 275 \times 20 = 5500$ Rs.
So the marked price of the almirah is Rs. 5500.
So this is the required answer.

Note – Marked price is the price on the label at which product is intended to be sold generally M.R.P. The selling price is the price at which a product or service is sold to the buyer, however cost price is the price that is incurred to produce a product or provide a service to the buyer. A discount is usually the deduction offered to the consumer from the usual marked price.