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Question 110 (i)

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.

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Solution

Marked price of board game = Rs. 320
Discount in store = 25 %
Sheeta have a gift voucher value = Rs. 50
In method 1 Rs. 320 - Rs. 50 = Rs. 270
Now, 25 % discount on Rs. 270 = 270 - 25100×270
= 270 - 67.5 = Rs. 202.5
In method 2 25 % off on Rs. 320, then subtract Rs. 50
=32025100×32050=3208050=Rs.190
Hence, method 2 will be beneficial for her.


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