A dishonest merchant sells his grocery using weights that are 12% less than the true weights and makes a profit of 10%. Find his total gain percentage.

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Accepted Answer

1. **Let the true weight be 100 kg.**  
   The merchant uses weights that are 12% less, so he sells only 88 kg when he claims to sell 100 kg.

2. **Let the cost price (CP) of 1 kg = ₹1.**  
   - Total CP for 88 kg = ₹88.

3. **He sells 88 kg as 100 kg, so selling price (SP) = 100 × CP per kg = ₹100.**
   - But he also makes a profit of 10% on the selling price.
   - So, actual SP = ₹100 × 1.10 = ₹110.

4. **Calculate total gain:**  
   - Profit = SP − CP = ₹110 − ₹88 = ₹22.

5. **Gain percentage:**  
   $$
   	ext{Gain \%} = \frac{	ext{Profit}}{	ext{CP}} 	imes 100 = \frac{22}{88} 	imes 100 = 25\%
   $$

Thus, the total gain percentage is **25%**, and the correct answer is **(4) 25%**.

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