A table of the given information is as follows.
Number of winners |
1 |
2 |
4 |
5 |
8 |
10 |
20 |
Prize for each winner (in Rs) |
100000 |
50000 |
x1 |
x2 |
x3 |
x4 |
x5 |
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
x1 = 100000/4 = 25000
1 x 100000 = 5 x x2
x2 = 100000 = 8 x x3
1 x 100000 = 8 x x3
x3 = 100000/8 = 12500
1 x 100000 = 10 x x4
x4 = 100000/10 = 10000
1 x 100000 = 10 x x5
x5 = 100000/20 = 5000