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2.In a Television game show, the prize money of ₹ 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 directly or inversely proportional to the number of winners?


Answer :

Let, the blank spaces be a, b, c, d and e.
So, we see that \(1 ×\times 100,000 = 2 \times 50,000\)

\(\Rightarrow 1,00,000 = 1,00,000\)

Hence, they are inversely proportional.So, we have

\(2 \times 50,000 = 4 \times a\)

∴ \(a=\frac{2\times50,000}4=25,000\)

\(2 \times 50,000 = 5 \times b\)

∴ \(b=\frac{2\times50,000}5=20,000\)

\(2 \times 50,000 = 8 \times c\)

∴ \(c=\frac{2\times50,000}8=12,500\)

\(2 \times 50,000 = 10 \times d\)

∴ \(d=\frac{2\times50,000}{10}=10,000\)

\(2 \times 50,000 = 20 \times e\)

∴ \(e=\frac{2\times50,000}{20}=5,000\)

Hence we have the table as: