43. Exemplar exercise problems XXXIX

A store is having a \(25 \%\) discount sale. Sheela has a \(Rs. 50\) gift voucher and wants to use it to buy a board game marked for \(Rs. 320\). She is not sure how to calculate the concession she will get. The sales clerk has suggested two ways to calculate the amount payable.

Method 1: Subtract \(Rs. 50\) from the price and take \(25 \%\) off the resulting price.

Method 2: Take \(25 \%\) off the original price and then subtract \(Rs. 50\).

 

(a) Do you think both the methods will give the same result? If not, predict which method will be beneficial for her. Method 1 is beneficial for SheelaMethod 2 is beneficial for SheelaBoth methods give the same result

 

(b) For each method, calculate the amount Sheela would have to pay. Show your work. Method 1: Rs. 202.5 and Method 2: Rs. 190Method 1: Rs. 190 and Method 2: Rs. 202.5Method 1 and 2: Rs. 202.5Method 1 and 2: Rs. 190

 

(c) Which method do you think stores actually use? Why? Method 1, because in this method actual discount is less.Method 2, because in this method actual discount is less.Method 1, because in this method actual discount is more.Method 2, because in this method actual discount is more.