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Transcript

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 = โ‚น 1, 00, 000 This prize money is distributed equally amongst the winners. โˆด Prize for each winner = (๐‘ป๐’๐’•๐’‚๐’ ๐’‘๐’“๐’Š๐’›๐’† ๐’Ž๐’๐’๐’†๐’š)/(๐‘ต๐’–๐’Ž๐’ƒ๐’†๐’“ ๐’๐’‡ ๐’˜๐’Š๐’๐’๐’†๐’“๐’”) Prize for each winner = (100, 000)/(๐‘๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘ค๐‘–๐‘›๐‘›๐‘’๐‘Ÿ๐‘ ) If Number of Winners = 4 Prize for each winner = (100, 000)/(๐‘๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘ค๐‘–๐‘›๐‘›๐‘’๐‘Ÿ๐‘ ) = (๐Ÿ๐ŸŽ๐ŸŽ, ๐ŸŽ๐ŸŽ๐ŸŽ)/๐Ÿ’ = 100/4ร—1000 = 25ร—1000 = 25000 โˆด Each winner will be given โ‚น 25,000 If Number of Winners = 8 Prize for each winner = (100, 000)/(๐‘๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘ค๐‘–๐‘›๐‘›๐‘’๐‘Ÿ๐‘ ) = (๐Ÿ๐ŸŽ๐ŸŽ, ๐ŸŽ๐ŸŽ๐ŸŽ)/๐Ÿ– = 12,500 โˆด Each winner will be given โ‚น 12,500 If Number of Winners = 10 Prize for each winner = (100, 000)/(๐‘๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘ค๐‘–๐‘›๐‘›๐‘’๐‘Ÿ๐‘ ) = (๐Ÿ๐ŸŽ๐ŸŽ, ๐ŸŽ๐ŸŽ๐ŸŽ)/๐Ÿ๐ŸŽ = 10,000 โˆด Each winner will be given โ‚น 10,000 If Number of Winners = 20 Prize for each winner = (100, 000)/(๐‘๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘ค๐‘–๐‘›๐‘›๐‘’๐‘Ÿ๐‘ ) = (๐Ÿ๐ŸŽ๐ŸŽ, ๐ŸŽ๐ŸŽ๐ŸŽ)/๐Ÿ๐ŸŽ = 5,000 โˆด Each winner will be given โ‚น 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. โˆด They are in inverse proportion

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.