Discussion

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.

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