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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? - CBSE Class 8 - Mathematics

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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) 100000 50000 ... ... ... ... ...

Solution

A table of the given information is as follows.

Number of winners 1 2 4 5 8 10
Prize for each winner (in Rs) 100000 50000 x1 x2 x3 x4

From the table, we obtain

1 × 100000 = 2 × 50000 = 100000

Thus, the number of winners and the amount given to each winner are inversely proportional to each other. Therefore,

1 × 100000 = 4 × x1

`x_1 = 100000/4 = 25000`

1 × 100000 = 5 × x2

`x_2 = 100000/5 = 20000`

1 × 100000 = 8 × x3

`x_3 =  100000/8 = 12500`

1 × 100000 = 10 × x4

`x_4 = 100000/10 = 10000`

1 × 100000 = 20 × x5

`x_5 = 100000/20 = 5000`

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 8 (2018 to Current)
Chapter 13: Direct and Inverse Proportions
Ex. 13.20 | Q: 2 | Page no. 213

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Solution 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? Concept: Concept of Inverse Proportion.
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