Option 4 : 36

Given :

A person has 65 articles, he sold 40% articles at 30% profit and remaining at 40% profit

Calculations:

There are total 65 articles

Let the cost price of articles be 100x

40% of articles = (4/10) of 65

⇒ 26

So 26 articles are sold at 30% profit

Selling price of article at 30% profit = 100x + 30% of 100x

⇒ 130x

Total selling price of 26 articles = 26 × 130x = 3380x

Remaining 39 articles are sold at 40% gain

Selling price at 40% profit = 100x + 40% of x

⇒ 140x

Selling price of 39 articles = 39 × 140x

⇒ 5460x

Total selling price = 3380x + 5460x

⇒ 8840x

Total cost price of 65 articles = 65 × 100x

⇒ 6500x

Profit percent = (selling price - cost price)/(cost price) × 100

⇒ (8840x - 6500x)/(6500x) × 100

⇒ 36%

∴ The correct choice will be option 4