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 numberof winners?

A table of the given information is as follows:


Number of winners



1



2



4



5



8



10



20



Prize of each winner (in Rs.)



1,00,000



50,000



X1



X2



X3



X4



X5



From the table, we obtain:


1 ×100,000 = 2 × 50,000 = 100,000


Thus, the number of winners and amount given to an individual winner is inversely proportional.


Therefore,


1 ×100,000 = x1 × 4


x1 = 25,000


1 × 100,000 = x2 × 5


x2 = 20,000


1 × 100,000 = x3 × 8


x3 = 12500


1 × 100,000 = x4 × 10


x4 = 10,000


1 × 100,000 = x5 × 20


x5 = 5,000


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