Question

In a Television game show, the prize money of Rs1,00,000 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:
$\begin{array}{cccccccc}No.ofwinners& 1& 2& 4& 5& 8& 10& 20\\ Prizeforeachwinner(inRs.)& 1,00,000& 50,000& \dots & \dots & \dots & \dots & \dots \end{array}$

Answer 1

Here number of winners and prize money are in inverse proportion because
winners are increasing, prize money is decreasing.
When the number of winners are 4, each winner will get =
$\frac{100000}{4}=Rs.25,000$
When the number of winners are 5, each winner will get =
$\frac{100000}{5}=Rs.20,000$
When the number of winners are 8, each winner will get =
$\frac{100000}{8}=Rs.12,500$
When the number of winners are 10, each winner will get =
$\frac{100000}{10}=Rs.10,000$
When the number of winners are 20, each winner will get =
$\frac{100000}{20}=Rs.5,000$