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 of each winner (in Rs)	$1,00,000$	$50,000$	$\cdots$	$\cdots$	$\cdots$	$\cdots$	$\cdots$

Answer 1

Let $x$ be the number of winners and $y$ be the number of prize for each winner.

So here total amount for prize money is same i.e.

$k=x\times y=1,00,000$

let $x_1$ prize for 4 people,
$\Rightarrow 4\times x_1=100000$
$\Rightarrow x_1=25000$

Similarly,

For $5$ people , $x_2=20000$

For $8$ people, $x_3=12500$
For $10$ people, $x_4=10000$
For $20$ people, $x_5=5000$