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?1)Rs. 20002)Rs. 22003)Rs. 24004)Data inadequate

Let's solve this step by step:

Step 1: Let's assume the cost price of the article is Rs. x.

Step 2: According to the problem, 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. This can be written as:

Profit = Loss => (1920 - x)/x * 100 = (x - 1280)/x * 100

Step 3: Simplify the above equation to find the value of x:

1920 - x = x - 1280 => 2x = 3200 => x = 1600

So, the cost price of the article is Rs. 1600.

Step 4: Now, we need to find the selling price for a 25% profit. The formula to calculate the selling price is:

Selling Price = Cost Price + Profit => Selling Price = x + 25% of x => Selling Price = 1600 + 25% of 1600 => Selling Price = 1600 + 400 => Selling Price = Rs. 2000

So, the article should be sold at Rs. 2000 to make a 25% profit. Therefore, the correct answer is 1) Rs. 2000.