Question

A shop gives $20\% $ discount. What would the price of each of these be?
A dress market at $Rs.120$
A pair of shoes market at $Rs.750$
A bag market at $Rs.250$

Answer 1

Hint: First, the concept of Percentage is used to find the given share or amount of something in terms of $100$. Since percentage formula is: Percentage = given value divided by total value $ \times 100$
Since the discount is given as $20\% $. So, we will subtract the discount into the overall percentage and then we will multiply it into the given Rupees to find the value of the discounted amount.

Complete step by step answer:
Since from the given that we have a shop gives $20\% $ a discount for the three items, which are dress, shoes, and bag.
Also, the amount is given as A dress market at $Rs.120$, A pair of shoe market at $Rs.750$, A bag market at $Rs.250$ and the discount percentage is given as $20\% $
Hence, we use the formula to find the percentage discount formula, which is $P = \dfrac{{100\% - D}}{{100\% }} \times R$ where D is the discount percentage and R is the given amount in rupees.
Thus, for the dress market, the $20\% $ discount will be calculated as $P = \dfrac{{100\% - D}}{{100\% }} \times R \Rightarrow \dfrac{{100\% - 20\% }}{{100\% }} \times 120$ and further solving we get $P = \dfrac{{80}}{{100}} \times 120 \Rightarrow 96$ which is the amount of the bag after applying the $20\% $ discount.
Now for the pair of shoe $20\% $ discount will be calculated as $P = \dfrac{{100\% - D}}{{100\% }} \times R \Rightarrow \dfrac{{100\% - 20\% }}{{100\% }} \times 750$ and further solving we get $P = \dfrac{{80}}{{100}} \times 750 \Rightarrow 600$ which is the amount of the bag after applying the $20\% $ discount.
Now for the bag market, the $20\% $ discount will be calculated as $P = \dfrac{{100\% - D}}{{100\% }} \times R \Rightarrow \dfrac{{100\% - 20\% }}{{100\% }} \times 250$ and further solving we get $P = \dfrac{{80}}{{100}} \times 250 \Rightarrow 200$ which is the amount of the bag after applying the $20\% $ discount.
Hence, we have A dress market at $Rs.96$ ($20\% $ discount)
A pair of shoe market at $Rs.600$ ($20\% $ discount)
A bag market at $Rs.200$ ($20\% $ discount)

Note:
Similar if the shops sell these three things with $20\% $ higher the original amount means the formula to be calculated is $P = \dfrac{{100\% + H}}{{100\% }} \times R$ like take the higher percentage as $20\% $ then we get the dress market as $P = \dfrac{{120}}{{100}} \times 120 \Rightarrow 144$ rupees. And hence we are also able to find all other markets selling rates using the same method.