Question

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.

b. For each method, calculate the amount Sheela would have to pay. Show your work.

c. Which method do you think stores actually use? Why?

Answer 1

(a) Given, Marked Price of a board game = Rs.320

Also, discount in store = 25%

Sheela have a gift voucher value = Rs.50

In Method 1:

We need to subtract Rs 50 from the price and take 25% off the resulting price

⇒Rs.320 – Rs.50 = Rs. 270

⇒ Now, 25% discount on Rs. 270 = 270 - 25/100 x 270

= 270-67.5

= 202.5

In Method 2:

We need to take 25% off the original price and then subtract Rs 50.

⇒ 25% off on Rs.320 = 320 - 25/100 x 320

⇒ Now, we know x% of n = x/100 x n

= 320-80

= 240

⇒ Subtracting 50 we get

= 240-50

= Rs.190

Hence, method 2 will be beneficial for her.

(b) In Method 1 amount paid by sheela is Rs.202.5

And in Method 2 amount paid by sheela is Rs.190

(c) Method 1 will be used by stores because in this method actual discount is loss.