# The marked price of a mixer is $23000$ rupees. A customer purchased it for Rs. $1955$. Find the percentage of discount offered to the customer.

Answer

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Hint: Discount is the difference between the marked price and selling price. And discount percentage is always calculated over the marked price.

Given, the marked price of the mixer is Rs. $23000$. Therefore we have:

$ \Rightarrow M.P. = 23000$

While, the customer is purchasing it as Rs. $1955$. Thus, the selling price of the mixer is Rs. $1955$. So, we have:

$ \Rightarrow S.P. = 1955$

We know that the discount is the difference between the marked price and selling price, thus we have:

$

\Rightarrow Discount = M.P. - S.P. \\

\Rightarrow Discount = 23000 - 1955, \\

\Rightarrow Discount = 21045. \\

$

And we also know that the discount percentage is calculated over market price. Thus the formula for discount percentage is:

$ \Rightarrow Discount\left( \% \right) = \dfrac{{Discount}}{{M.P.}} \times 100\left( \% \right)$.

So, putting values from above, we’ll get:

\[

\Rightarrow Discount\left( \% \right) = \dfrac{{21045}}{{23000}} \times 100, \\

\Rightarrow Discount\left( \% \right) = \dfrac{{21045}}{{230}}, \\

\Rightarrow Discount\left( \% \right) = 91.5 \\

\]

Thus, the percentage of discount offered to the customer is $91.5\% $

Note: Profit and loss percentage is always calculated over cost price while margin is calculated over selling price. But the discount is calculated over the marked price. Therefore the formula for discount percentage is:

$ \Rightarrow Discount\left( \% \right) = \dfrac{{M.P. - S.P.}}{{M.P.}} \times 100\left( \% \right)$ or

$ \Rightarrow Discount\left( \% \right) = \dfrac{{Discount}}{{M.P.}} \times 100\left( \% \right)$

Given, the marked price of the mixer is Rs. $23000$. Therefore we have:

$ \Rightarrow M.P. = 23000$

While, the customer is purchasing it as Rs. $1955$. Thus, the selling price of the mixer is Rs. $1955$. So, we have:

$ \Rightarrow S.P. = 1955$

We know that the discount is the difference between the marked price and selling price, thus we have:

$

\Rightarrow Discount = M.P. - S.P. \\

\Rightarrow Discount = 23000 - 1955, \\

\Rightarrow Discount = 21045. \\

$

And we also know that the discount percentage is calculated over market price. Thus the formula for discount percentage is:

$ \Rightarrow Discount\left( \% \right) = \dfrac{{Discount}}{{M.P.}} \times 100\left( \% \right)$.

So, putting values from above, we’ll get:

\[

\Rightarrow Discount\left( \% \right) = \dfrac{{21045}}{{23000}} \times 100, \\

\Rightarrow Discount\left( \% \right) = \dfrac{{21045}}{{230}}, \\

\Rightarrow Discount\left( \% \right) = 91.5 \\

\]

Thus, the percentage of discount offered to the customer is $91.5\% $

Note: Profit and loss percentage is always calculated over cost price while margin is calculated over selling price. But the discount is calculated over the marked price. Therefore the formula for discount percentage is:

$ \Rightarrow Discount\left( \% \right) = \dfrac{{M.P. - S.P.}}{{M.P.}} \times 100\left( \% \right)$ or

$ \Rightarrow Discount\left( \% \right) = \dfrac{{Discount}}{{M.P.}} \times 100\left( \% \right)$

Last updated date: 26th Sep 2023

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