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NCERT Solutions Class 8 Mathematics Solutions for Exercise 13.2 in Chapter 13 - Direct and Inverse Proportions
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Q2) 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 it directly or inversely proportional to the number of winners?
Solution:
A table of the given information is as follows.
From the table, we obtain.
1\times100000\ =\ 2\times50000\ =\ 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_1
x_1=\frac{100000}{4}=25000
1\times100000\ =\ 5\times x_2
x_2=\frac{100000}{5}=20000
1\times100000=8\times x_3
x_3=\frac{100000}{8}=12500
1\times100000=10\times x_4
x_4=\frac{100000}{10}=10000
1\times100000=20\times x_5
x_5=\frac{100000}{20}=5000
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