Question

I Paid 470 Rs to a Shopkeeper and brought a book after getting a discount of 80%, what was the actual price of the book?

Answer 1

Hint: Convert the statement to an equation and then evaluate that to find the amount. Like in this case we can take x as actual price and 470 as amount paid to create an equation. So using these both values we will create an equation.

Complete step-by-step answer:
Given in the question:
Total Amount I paid for the book to shopkeeper = Rs. 470.
Discount I got on the book from a shopkeeper = 80%.
We have to find the Actual price of the book which I bought \[Rs.x\].
For that let’s convert this statement into an equation. Equation will surely help us solve this problem most of the real life practical problems can be converted into multiple equations just like this.
Actual Price of the book = Amount I paid to the shopkeeper + 80 % of the actual price of the book.
 \[\Rightarrow x = 470 + \left( {\dfrac{{80}}{{100}}*x} \right)\]
Divide numerator and denominator with 10 to simplify the equation
\[ \Rightarrow x = 470 + \left( {\dfrac{8}{{10}}*x} \right)\]
Take all the variables on one side and constants on one side.
\[ \Rightarrow x - \left( {\dfrac{{8x}}{{10}}} \right) = 470\]
Let’s take LCM on the left side to simplify the equation
After taking LCM : \[ \Rightarrow \dfrac{{10x - 8x}}{{10}} = 470\] .
Taking Denominator 10 to the right side and multiplying it to 470.
 \[ \Rightarrow 2x = 4700\]
Now take constant 2 from left side to right side and divide 4700 by 2.
\[\Rightarrow x = \dfrac{{4700}}{2}\]
\[ \Rightarrow x = 2350\]
As mentioned above amount gave to shop keeper was \[Rs.470\] , that means I gave \[Rs.470\] for the book which had the price of \[Rs.2350\]
Actual price of the book \[ \Rightarrow Rs.2350\] .

Note: We can easily convert the statement into an equation and then use basic operations on it to solve the problem and get the desired results.