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?

Question

Philoid · Accepted Answer

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