Explanation:

- An item is sold for Rs 657.90 after applying two successive discounts.

- The first discount is 15%, reducing the price to 85% of the marked price.

- The second discount is 10%, further reducing the price to 90% of the first discounted price.

- You need to work backwards using these steps to find the marked price.

- Let the marked price be X.

- After a 15% discount, the price becomes 0.85X.

- A further 10% discount on this price makes it 0.85X * 0.90 = 0.765X.

- Given that the final price is Rs 657.90, you set up the equation: 0.765X = 657.90.

- Solving for X gives you X = 657.90 / 0.765 = 860.

- The marked price of the article is therefore Rs 860.