Question

A fan is listed at Rs \[1500\] and a discount of \[20\% \] is offered on the list price. What additional discount must be offered to the customer to bring the net price to Rs \[1104\]?

Answer 1

Hint: Let us consider, the price of an object is Rs \[a\], and the percentage of discount \[b\% \] then after the discount the price of the object is Rs. \[a \times \dfrac{{100 - b}}{{100}}\].

Complete step-by-step answer: It is given that a fan is listed at Rs \[1500\] and a discount of \[20\% \] is offered on the list price. We have to find the additional discount that must be offered to the customer to bring the net price to Rs. \[1104\].
So, the marked price of the fan is Rs \[1500\].
It is clear that the first discount of the fan is \[20\% \]
After the first discount of \[20\% \] being given, the net price will be \[80\% \] of the marked price.
That is, the net price is given by the following way,
Net price of the fan after discount is Rs \[1500 \times \dfrac{{80}}{{100}}\]
On simplifying the multiplication we get,
The net price of the fan after discount is Rs.\[1200\].
It is given that the final selling price is Rs. \[1104\].
So, the discount amount to the final selling price is Rs. \[(1200 - 1104) = \]Rs. \[96\]
So, the discount rate for final selling price is \[\dfrac{{96}}{{1200}} \times 100\% = 8\% \]
Hence, the additional discount must be offered to the customer to bring the net price to Rs. \[1104\] is \[8\% \].

Note: Here we should find the additional discount from the initially discounted price, that is we have to divide the difference between the initial discounted price and the price to which the discount has to be done by the discounted amount. If we divide by the total amount we will get the wrong answer.