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Ex 13.2, 2 - In a Television game show, the prize money of Rs 1,00,000

Ex 13.2, 2 - Chapter 13 Class 8 Direct and Inverse Proportions - Part 2
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Ex 11.2, 2 In a Television game show, the prize money of Rs 1,00,000 is to be divided equally amongst the winners. Complete the following table and find whether the prize money given to an individual winner is directly or inversely proportional to the number of winners? Given, Total prize money = β‚Ή 1, 00, 000 This prize money is distributed equally amongst the winners. ∴ Prize for each winner = (𝑻𝒐𝒕𝒂𝒍 π’‘π’“π’Šπ’›π’† π’Žπ’π’π’†π’š)/(π‘΅π’–π’Žπ’ƒπ’†π’“ 𝒐𝒇 π’˜π’Šπ’π’π’†π’“π’”) Prize for each winner = (100, 000)/(π‘π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘€π‘–π‘›π‘›π‘’π‘Ÿπ‘ ) If Number of Winners = 4 Prize for each winner = (100, 000)/(π‘π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘€π‘–π‘›π‘›π‘’π‘Ÿπ‘ ) = (100, 000)/4 = 100/4Γ—1000 = 25Γ—1000 = 25000 ∴ Each winner will be given β‚Ή 25,000 If Number of Winners = 8 Prize for each winner = (100, 000)/(π‘π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘€π‘–π‘›π‘›π‘’π‘Ÿπ‘ ) = (100, 000)/8 = 12,500 ∴ Each winner will be given β‚Ή 12,500 If Number of Winners = 10 Prize for each winner = (100, 000)/(π‘π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘€π‘–π‘›π‘›π‘’π‘Ÿπ‘ ) = (100, 000)/10 = 10,000 ∴ Each winner will be given β‚Ή 10,000 If Number of Winners = 20 Prize for each winner = (100, 000)/(π‘π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘€π‘–π‘›π‘›π‘’π‘Ÿπ‘ ) = (100, 000)/20 = 5,000 ∴ Each winner will be given β‚Ή 5,000 Thus, our table looks like Thus, our table looks like We can see that As number of winners increases, Prize for each winner is decreases. ∴ They are in inverse proportion

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.