A number increased by 22.5% gives 98. The number is:
Answer: C
Let the number be x.
When the number is increased by 22.5%, it becomes 100% + 22.5% = 122.5% of itself.
So, \(1.225 \times x = 98\).
\(x = \frac{98}{1.225} = \frac{98000}{1225}\).
To simplify, divide both by 25: \(\frac{3920}{49}\).
Now divide by 49: \(3920 / 49 = 80\).
So, the number is 80.