The ratio of the cost prices of article 'A' and article 'B' is 7:5, respectivelywhile the ratio of their selling prices is 7:3, respectively. The difference betweentheir selling prices is Rs. 2000. If article 'B' is sold at 25% loss, then find theprofit/loss percentage of article 'A'.A - 20%B- 25%C- 15%D- 10%E - 40%

Let's solve this step by step:

Step 1: Let's assume the cost price of article 'A' is 7x and the cost price of article 'B' is 5x.

Step 2: The selling price of article 'A' is 7y and the selling price of article 'B' is 3y.

Step 3: According to the problem, the difference between their selling prices is Rs. 2000. So, we can write the equation 7y - 3y = 2000, which simplifies to 4y = 2000. Solving for y, we get y = 500.

Step 4: Now, we know that article 'B' is sold at a 25% loss. This means the selling price of 'B' is 75% of the cost price. So, 3y = 0.75 * 5x. Substituting y = 500, we get 1500 = 3.75x. Solving for x, we get x = 400.

Step 5: Now, we can find the cost price and selling price of article 'A'. The cost price of 'A' is 7x = 7400 = 2800 and the selling price of 'A' is 7y = 7500 = 3500.

Step 6: To find the profit or loss percentage, we use the formula: Profit% = (Selling price - Cost price)/Cost price * 100. Substituting the values, we get Profit% = (3500 - 2800)/2800 * 100 = 25%.

So, the profit percentage of article 'A' is 25%. This option is not given in the choices. There might be a mistake in the problem or the options provided.