A man's wage was reduced by 50%. Again, the reduced wage was increased by 50%. Find his loss in terms of percentage:

25%

The correct answer is Option (4) → 25%

Let's assume the man's initial wage was $100$.

1. First Change (50% Reduction):

   • Reduction = $50\%$ of $100=50$

   • New Wage = $100-50=50$

2. Second Change (50% Increase on the reduced wage):

   • Increase = $50\%$ of $50=25$

   • Final Wage = $50+25=75$

3. Calculate the Net Loss:

   • Total Loss = Initial Wage - Final Wage = $100-75=25$

   • Loss Percentage = $(\genfrac{}{}{0ex}{}{25}{100})\times 100=25\%$