Question

The discount percentage is 25%. What is the fraction multiplied with marked price to find selling price?
\(\begin{array}{l}A.{\rm{ }}\dfrac{1}{4}\\B.{\rm{ }}\dfrac{3}{4}\\C.{\rm{ }}\dfrac{{125}}{{100}}\\D.{\rm{ }}\dfrac{{100}}{{75}}\end{array}\)

Answer 1

Hint: Take marked price as x. Then find the selling price by taking the difference of marked and discounted marked price. The discounted marked price is the discount price calculated on marked price. Here, we have discounted the market price as 25% of x.

Complete step-by-step answer:
In the question we are informed that the discount percentage is 25% and from this we have to find which fraction one should multiply to find its selling price.
We generally find the selling price by finding the difference between marked price and discounted marked price.
The term discounted marked price means the discount amount upon marked price.
Let's consider marked price as x. So, the discounted marked price will be \[x \times \dfrac{{25}}{{100}}\] as the discount percent given is 25%. Thus, the discounted marked price is \[\dfrac{{25x}}{{100}}\] or can be written as \[\dfrac{x}{4}.\]The given marked price is x. So, the selling price can be calculated by using formula,
\[{\rm{Selling\ price }} = {\rm{ Marked\ price }} - {\rm{ discounted\ marked\ price}}\]
Now, on substituting we get:
\[{\rm{Selling\ price = }}x - \dfrac{x}{4}{\rm{ or }}\dfrac{{3x}}{4}\]
So, the fraction which should be multiplied by the market price should be \[\dfrac{3}{4}\].
Hence, the correct option is ‘B’.

Note: We can also do the same question by using formula, \[{\rm{Selling\ price }} = {\rm{ Marked\ price}}\left( {1 - \dfrac{d}{{100}}} \right)\]
Here, d is discount percent, which is given to us as 25%.
We can also consider the marked price as Rs. 100 and then simplify to find the selling price, instead of using the variable x. Whichever method is easy for the student, they can use that.