Question 1 - Page 26 - Tricky Percentages - Chapter 1 Class 8 - Fractions in Disguise (Ganita Prakash II)

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Question 1 - Page 26 A provision store is offering a stock clearance sale. Customers can choose one of the two options — 20% discount or ₹50 discount—for any purchase above ₹150. Which option would you choose if you want to: (i) buy items worth ₹180 (ii) buy items worth ₹225 (iii) buy items worth ₹300Let's test the choices for each bill amount. (i) Buy items worth ₹180 20% discount: 180×0.20= ₹ 36 discount. Flat discount: ₹50 discount. Choice: Take the ₹50! It saves you more money. (ii) Buy items worth ₹225 20% discount: 225×0.20= ₹45 discount. Flat discount: ₹50 discount. Choice: Take the ₹50! It's still a better deal. (iii) Buy items worth ₹300 20% discount: 300×0.20= ₹60 discount. Flat discount: ₹50 discount. Choice: Ah! Now you should take the 𝟐𝟎% discount, because ₹60 is better than ₹50. The Secret Pattern There is a "break-even" point where both deals are exactly the same. If 20% of a bill is equal to ₹50, the bill must be ₹250. For anything cheaper than ₹250, take the ₹50. For anything more expensive than ₹250, take the 20% !