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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.
- Do you think both the methods will give the same result? If not, predict which method will be beneficial for her.
- For each method, calculate the amount Sheela would have to pay. Show your work.
- Which method do you think stores actually use? Why?
Solution
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 xx 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 xx 320`
⇒ Now, we know x% of `n = x/100 xx 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.
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