If 75 percent of total articles are sold at a profit of 20 percent and remaining articles are sold at a loss of 20 percent, then what will be the overall profit percentage?

Correct option is B

​Given:

75% articles sold at 20% profit

25% articles sold at 20% loss

Formula Used:

Overall Profit % = $$\left( \frac{(P_1 \times W_1) + (P_2 \times W_2)}{W_1 + W_2} \right)$$​​

​Solution:​

​$$P_1 = +20\%, W_1 = 75,P_2 = -20\%, W_2 = 25$$​​

Overall Profit% = $$\frac{(20 \times 75) + (-20 \times 25)}{100} = \frac{1500 - 500}{100} = \frac{1000}{100} = 10\%$$​​

Alternate Solution:

Assume total articles = 100, each costing ₹1

75 articles → profit = 20% of ₹1 = ₹0.20 → total profit = ₹15

25 articles → loss = 20% of ₹1 = ₹0.20 → total loss = ₹5

Net profit = ₹15 – ₹5 = ₹10

Cost price = ₹100

Profit % = $$\frac{10}{100} \times 100 = 10\%$$​​

Thus, the correct option is (b) 10%