Question 1 - Page 25 - Tricky Percentages - Chapter 1 Class 8 - Fractions in Disguise (Ganita Prakash II)

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Question 1 - Page 25 You have won a contest. The organisers offer you two options to choose from: Option A: You deposit ₹100 and you get back ₹300. Option B: You deposit ₹1000 and you get back ₹1500. What is the percentage gain each option gives? You can choose any option only once. Which option would you choose? Why?First, let's find the actual profit (the gain) for both: Option A Gain: 300−100= ₹200 Option B Gain: 1500−1000= ₹500 Now, let's find the percentage gain. The formula is: 𝐏𝒆𝐫𝐜𝐞𝐧𝐭𝐚𝐠𝐞 𝑮𝒂𝒊𝒏="Gain" /" Original Deposit " ×𝟏𝟎𝟎 Now, Option A Percentage: 200/100×100=𝟐𝟎𝟎% gain! (You tripled your money). Option B Percentage: 500/1000×100=𝟓𝟎% gain. (You got half of your deposit back as extra). Which to choose? This is a trick question because there is no single right answer-it depends on what you value! If you want the most actual cash in your pocket, you choose Option B (you walk away with ₹500 profit instead of ₹200). If you want the best rate of return (maybe because you only have ₹100 to spare), you choose Option A. Let’s see an example