The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
Step 1: Define the variables
Let the cost price (CP) of the article be x.
Step 2: Set up the equation for percentage profit and loss
Given that the percentage profit earned by selling the article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280, we can write:
(1920 – x) / x * 100 = (x – 1280) / x * 100
Step 3: Simplify the equation
(1920 – x) = (x – 1280)
1920 + 1280 = x + x
3200 = 2x
x = 1600
Step 4: Calculate the selling price for a 25% profit
Selling Price = Cost Price + Profit
= 1600 + 25% of 1600
= 1600 + 400
= 2000
