Minu purchases a pair of sunglasses at Rs. 1000 and sells to Kanu at 20% profit. Then, Kanu sells it back to Minu at 20% loss. Finally, Minu sells the same pair of sunglasses to Tanu. If the total profit made by Minu from all her transactions is Rs. 500, then the percentage of profit made by Minu when she sold the pair of sunglasses to Tanu is

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1. **Step 1: First Transaction (Minu sells to Kanu):**  
   - Cost price for Minu = Rs. 1000  
   - Selling price to Kanu = $$ 1000 + 20\% 	imes 1000 = 1000 + 200 = Rs. 1200 $$  
   - Profit made by Minu = $$ Rs. 200 $$.

2. **Step 2: Second Transaction (Kanu sells back to Minu):**  
   - Cost price for Kanu = Rs. 1200  
   - Selling price back to Minu = $$ 80\% 	imes 1200 = Rs. 960 $$  
   - Loss for Kanu = $$ Rs. (1200 - 960) = Rs. 240 $$.

3. **Step 3: Third Transaction (Minu sells to Tanu):**  
   - Total profit made by Minu from all transactions = Rs. 500  
   - Profit from the first transaction = Rs. 200  
   - Remaining profit from the third transaction = $$ Rs.(500 - 200) = Rs. 300 $$.

To achieve this profit, Minu sold the sunglasses to Tanu at:  
   $$ Selling\ Price = Cost\ Price + Profit = Rs.(960 + 300) = Rs.1260 $$.

4. **Profit Percentage Calculation:**  
   Profit percentage when selling to Tanu:  
   $$
   Profit\% = \frac{Profit}{Cost\ Price} 	imes 100 = \frac{300}{960} 	imes 100 = 31.25\%.
   $$

Thus, the percentage of profit made by Minu when selling to Tanu is **31.25%**.

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