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A table of the given information is as follow :-
1\times100000\ =\ 2\times50000\ =\ 1000001×100000 = 2×50000 = 100000
Thus, the number of winners and the amount given to each winner are inversely proportional to each other. Therefore,
1\times100000\ =\ 4\times x_11×100000 = 4×x
1
x_1=\frac{100000}{4}=25000x
1
=
4
100000
=25000
1\times100000\ =\ 5\times x_21×100000 = 5×x
2
x_2=\frac{100000}{5}=20000x
2
=
5
100000
=20000
1\times100000=8\times x_31×100000=8×x
3
x_3=\frac{100000}{8}=12500x
3
=
8
100000
=12500
1\times100000=10\times x_41×100000=10×x
4
x_4=\frac{100000}{10}=10000x
4
=
10
100000
=10000
1\times100000=20\times x_51×100000=20×x
5
x_5=\frac{100000}{20}=5000x
5
=
20
100000
=5000
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