After enjoying three successive discounts of 30% each, a person paid Rs.3087 for the article. What must be the marked price of the article?

Step 1: Let's assume the marked price of the article is Rs. X.

Step 2: After the first discount of 30%, the price of the article becomes 70% of the marked price. So, the price after the first discount = 70/100 * X = 0.7X.

Step 3: After the second discount of 30%, the price of the article becomes 70% of the price after the first discount. So, the price after the second discount = 70/100 * 0.7X = 0.49X.

Step 4: After the third discount of 30%, the price of the article becomes 70% of the price after the second discount. So, the price after the third discount = 70/100 * 0.49X = 0.343X.

Step 5: According to the problem, the price after the third discount is Rs. 3087. So, we can set up the equation 0.343X = 3087.

Step 6: Solve the equation for X. X = 3087 / 0.343 = Rs. 9000.

So, the marked price of the article must be Rs. 9000.