Question

A tape recorder is sold at Rs 5,225 after being given a discount of 5%. What is its marked price?

Answer 1

Hint:In the above given question, make the use of the unitary method. First of all, the marked price for an amount of Rs 100 is calculated, by using which the marked price for the given amount can be easily calculated.

Complete step-by-step answer:
We are given in the question that a tape recorder is sold at Rs 5,225 at a discount of 5%.
This means that for Rs 100, the discount being given is Rs 5.
Therefore, the selling price for this small amount come out to be
  $ \Rightarrow Rs100 - Rs5 = Rs95 $
Thus, the marked price is Rs 100 on a selling price of Rs 95.
Now, we know that
On a selling price of Rs 95, the marked price = Rs 100.
So, on a selling price of Rs 1, the marked price = $ Rs\dfrac{{100}}{{95}} $
Thus, on a selling process of Rs 5,225, the marked price $ = Rs\dfrac{{100}}{{95}} \times 5,225 $
  $ = Rs\dfrac{{5,22,500}}{{95}} $
=Rs 5,500
Therefore, the marked price is Rs 5,500 on the selling price Rs 5,255 being given at 5% discount.

Note: The selling price is the price which is paid by the buyer whereas the marked price is the actual price which must be charged by the seller to the buyer. Here, in the above given question, there was a discount of 5%, that is, the price paid by the buyer is lesser than the actual price of the tape recorder.