The difference between the selling prices of an article is ₹1440, when it is sold at 20% profit and 17.5% loss. What will be the selling price when it is sold at 15% profit?

Let's assume the cost price of an article is 100y.

The difference between the selling prices of an article is ₹1440, when it is sold at 20% profit and 17.5% loss.

100y of (100+20)% - 100y of (100-17.5)% = 1440

100y of 120% - 100y of 82.5% = 1440

120y - 82.5y = 1440

37.5y = 1440

y = 38.4

cost price of an article = 100y

= $$100\times38.4$$

= 3840

Selling price when it is sold at 15% profit = 3840 of (100+15)%

= 3840 of 115%

= ₹4416