Question

A publisher gives $32\% $ a discount on the printed price of a book to booksellers. What does a bookseller pay for a book whose printed price is Rs. $275$?

Answer 1

Hint: In this problem, we have to find the bookseller pays the amount. At first understanding, the given data is important to solve the problem. First, find the discount amount. In the problem, the discount percentage is given. And then subtract the discount amount from the printed price. then we get the solution for the given problem easily.

Formula used:
In the given, we used some formulas to solve the problem. They are given below,
Discount $ = \dfrac{{M.P \times Discount\% }}{{100}}$
In the M.P is marked price.
$S.P = M.P - discount$
S.P is the selling price.

Complete step by step answer:
In this solution, we are going to find the amount that the bookseller pays.
First, we have to understand the given data in the question.
The given data are,
The discount given by the bookseller is thirty-two percent.
The printed price for the book is two hundred and seventy-five.
The printed price is called the marked price.
Therefore the marked price is two hundred and seventy-five.
Now we have to find the discount amount.
Already we know the formula for finding the discount.
To apply the values in the formula, we get
Discount $ = \dfrac{{275 \times 32}}{{100}}$
Now simplify this,
$ = \dfrac{{55 \times 32}}{{20}}$
On simplifying this,
$ = 11 \times 8$
Now we get discount amount is $ = 88$
At the next step, we want to find the value marked price.
Now apply the values in the formula we get,
$
  S.P = M.P - discount \\
  275 = M.P - 88 \\
 $
$M.P = 275 - 88$
Now simplify this we get
$M.P = 187$
Therefore the bookseller pays $Rs.187$

Note:
Discount means reducing the price from the original price. The definition of discount is reduced price. Or something being sold at the price lower than that item is normally sold. Marked price is defined as the general price of the thing without the discount.