Number of winners | 1 | 2 | 4 | 5 | 8 | 10 | 20 |
Prize for each winner (in Rs) | 1,00,000 | 50,000 | ? | ? | ? | ? | ? |
Answer:
\[1\times 1,00,000=4\times x\] \[\Rightarrow \] \[x=\frac{1,00,000}{4}=25,000\] \[1\times 1,00,000=5\times y\] \[\Rightarrow \] \[y=\frac{1,00,000}{5}=20,000\] \[1\times 1,00,000=8\times z\] \[\Rightarrow \] \[z=\frac{1,00,000}{8}=12,500\] \[1\times 1,00,000=10\times t\] \[\Rightarrow \] \[t=\frac{1,00,000}{10}=10,000\] \[1\times 1,00,000=20\times w\] \[\Rightarrow \] \[w=\frac{1,00,000}{20}=5,000\]
Since \[1\times 1,00,000=2\times 50,000=4\times 25,000\]\[=5\times 20,000=8\times 12,500=10\times 10,000\]\[=20\times 5,000\], so we find that the prize money given to an individual winner is inversely proportional to the number of winners. Number of winners 1 2 4 5 8 10 20 Prize for each winner (in Rs) 1,00,000 50,000 25,000 20,000 12,500 10, 000 5, 000
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