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Question -

In a Television game show, the prize money of ₹ 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

The prize for each winner (in ₹)

1,00,000

50,000

–

–

–

–

–



Answer -

Let, the blank spaces be denoted by a, b, c, d and e.
So, we observe that 1 × 100,000 = 2 × 50,000
⇒ 1,00,000 = 1,00,000
Hence they are inversely proportional.
2 × 50,000 = 4 × a


Number of winners

1

2

4

5

8

10

20

The prize for each winner (in ₹)

1,00,000

50,000

25,000

20,000

12,500

10,000

5,000

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