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 for each winner (in Rs.)
1,00,000
50,000
...
...
...
...
...

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Solution

Prize Money $= 1, 00, 000$
When
4 winners, each gets $= \frac{1, 00, 000}{4} = 25, 000$
5 winners, each gets $= \frac{1, 00, 000}{5} = 20, 000$
8 winners, each gets $= \frac{1, 00, 000}{8} = 15, 000$
10 winners, each gets $= \frac{1, 00, 000}{10} = 10, 000$
20 winners, each gets $= \frac{1, 00, 000}{20} = 5, 000$

As no. of winners increasing the prize money given to individual winners is decreasing.
So, prize money is inversely proportional to no. of winners.

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