Correct Option: A) \( 2\frac{6}{7} \% \) profit Let SP denote the Selling Price and CP denote the Cost Price. **Step 1: Calculate the Cost Price of Article P.** Article P is sold at a 20% profit. SP_P = CP_P \( \times \) (1 + 20/100) \( \text{₹}1800 \) = CP_P \( \times \) 1.20 CP_P = \( \frac{1800}{1.20} \) = \( \frac{18000}{12} \) = \( \text{₹}1500 \) **Step 2: Calculate the Cost Price of Article Q.** Article Q is sold at a 10% loss. SP_Q = CP_Q \( \times \) (1 - 10/100) \( \text{₹}1800 \) = CP_Q \( \times \) 0.90 CP_Q = \( \frac{1800}{0.90} \) = \( \frac{18000}{9} \) = \( \text{₹}2000 \) **Step 3: Calculate the Total Cost Price (CP_Total).** CP_Total = CP_P + CP_Q = \( \text{₹}1500 + \text{₹}2000 = \text{₹}3500 \) **Step 4: Calculate the Total Selling Price (SP_Total).** SP_Total = SP_P + SP_Q = \( \text{₹}1800 + \text{₹}1800 = \text{₹}3600 \) **Step 5: Determine the overall profit or loss amount.** Since SP_Total (\( \text{₹}3600 \)) > CP_Total (\( \text{₹}3500 \)), there is an overall profit. Overall Profit = SP_Total - CP_Total = \( \text{₹}3600 - \text{₹}3500 = \text{₹}100 \) **Step 6: Calculate the overall profit percentage.** Overall Profit Percentage = \( \frac{\text{Overall Profit}}{\text{CP_Total}} \times 100 \) Overall Profit Percentage = \( \frac{100}{3500} \times 100 \) = \( \frac{100}{35} \) = \( \frac{20}{7} \)% Converting the improper fraction to a mixed number: \( \frac{20}{7} \% \) = \( 2\frac{6}{7} \% \) Thus, the overall transaction results in a profit of \( 2\frac{6}{7} \% \).