If a woman sells her table for Tk. 2,400, she loses 20%. To gain 20%, at what price should she sell it?

Question: If a woman sells her table for Tk. 2,400, she loses 20%. To gain 20%, at what price should she sell it?

Solution:
Let the Cost price of the Table is x.
Selling price = x - 20% of x
⇒ 2400 = x - (20x/100)
⇒ 2400 = 80x/100
⇒ 80x = 240000
∴ x = 3000

To gain 20% = 3000 + 20% of 3000
= 3000 + 600
= Tk. 3600

To gain 20%, she should sell the table for Tk. 3600.