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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 for each winner (in Rs) | 1,00,000 | 50,000 | ... | ... | ... | ... | ... |
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Solution
⇒ Number of winners = 4 Amount to be received by each winner = `(1,00,000)/4`
= 25,000
⇒ Number of winners = 5 Amount each winner will receive =`(1,00,000)/5`
= 20,000
⇒ Number of winners = 8 Amount each winner will receive =`(1,00,000)/8`
= 12,500
⇒ Number of winners =10 Amount each winner will receive =`(1,00,000)/10`
= 10,000
⇒ Number of winners =20 Amount each winner will receive =`(1,00,000)/20`
= 5,000
| Number of winners | 1 | 2 | 4 | 5 | 8 | 10 | 20 |
| Prize for each winner (in ₹) | 1,00,000 | 50,000 | 25,000 | 20,000 | 12,500 | 5,000 | 5,000 |
The amount of prize money given to the winner is inversely proportional to the number of winners. Because as the number of winners increases, the amount given to each winner will reduce.
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