Correct Answer - Option 4 : Profit
\(15 \frac{5}{12}\%\)
Given :
Two-third of a certain number of items are sold at 35% profit, 25% of items are sold at 30% loss and the remaining at 5% loss
Formula used :
Profit = cost price + profit on the cost price
Calculations :
Let the total number of articles be 60
Let the cost price of each article be 100 rupees
Total cost price = 60 × 100 = 6000 rupees
Now
Two-third of article = (2/3) of 60 = 40
25% of articles = 15
Remaining article = 5
Selling price of 40 articles = 135 rupees per article (Sold at a profit of 35%)
Total selling price of 40 articles = 40 × 135 = 5400 rupees
Selling price of 15 articles = 70 rupees per article (sold at 30% loss)
Total selling price of 15 articles = 15 × 70 = 1050 rupees
Selling price of remaining 5 articles = 95 rupees per article (sold at 5% loss)
Total selling price of all articles = 5 × 95 = 475 rupees
Total selling price of all articles = 5400 + 1050 + 475 = 6925 rupees
Profit percent = (6925 - 6000)/(6000) × 100
⇒ \(15 \frac{5}{12}\%\)%
∴ Profit percent will be \(15 \frac{5}{12}\%\)
