# NCERT Solutions Class 8 Mathematics Solutions for Exercise 13.2 in Chapter 13 - Direct and Inverse Proportions

Question 3 Exercise 13.2

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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