The problem asks to find the volume percentage of ethanol in a solution made by dissolving 25 $cm^3$ of ethanol in 175 $cm^3$ of water. The final answer should be expressed as a percentage.

1. Problem Description

The problem asks to find the volume percentage of ethanol in a solution made by dissolving 25 $cm^3$ of ethanol in 175 $cm^3$ of water. The final answer should be expressed as a percentage.

2. Solution Steps

First, calculate the total volume of the solution.

Total volume = Volume of ethanol + Volume of water

Total volume = 25 $cm^3$ + 175 $cm^3$ = 200 $cm^3$

Then, calculate the volume percentage of ethanol in the solution.

Volume percentage of ethanol = $\frac{Volume\ of\ ethanol}{Total\ volume\ of\ solution} * 100$

Volume percentage of ethanol = $\frac{25\ cm^3}{200\ cm^3} * 100$

Volume percentage of ethanol = $\frac{25}{200} * 100$

Volume percentage of ethanol = $\frac{1}{8} * 100$

Volume percentage of ethanol = 12.5 %

3. Final Answer

The volume percentage of ethanol in the solution is 12.5 %.