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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?

Number of winners 1 2 4 5 8 10 20
Prize of each winner (in Rs)1,00,000 50,000

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Solution

Let x be the number of winners and y be the number of prize for each winner.
So here total amount for prize money is same i.e.
k=x×y=1,00,000

let x1 prize for 4 people,
4×x1=100000
x1=25000

Similarly,
For 5 people , x2=20000
For 8 people, x3=12500
For 10 people, x4=10000
For 20 people, x5=5000

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