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Question

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?

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Solution

Number of winners124581020Prize for each winner(In Rupees)10000050000y3y4y5y6y7 

Hence the constant k = xy = 1,00,000

"x" is Number of winners and "y" is prize for each winner.
Hence, x3y3 = 1,00,000
⇒ 4×y3 = 100000
⇒ y3 = 1000004 = 25000
Similarly,
y4 = 1000005 = 20000
y5 = 1000008 = 12500
y6 = 10000010 = 10000
y7 = 10000020 = 5000

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