Explanation:

- The marked price of the article is Rs 740.

- There are two successive discounts:

- The first discount is 15%.

- The second discount is x%.

- After both discounts, the selling price is Rs 566.10.

- To find the value of x:

1. Calculate the price after the first discount of 15%:

- \(740 \times (1 - 0.15) = 740 \times 0.85 = 629\).

2. Determine the effect of the second discount:

- Price after second discount is Rs 566.10.

- \(629 \times (1 - \frac{x}{100}) = 566.10\).

- Solve for x:

- \((1 - \frac{x}{100}) = \frac{566.10}{629}\).

- \((1 - \frac{x}{100}) = 0.9\).

- \(\frac{x}{100} = 0.1\).

- \(x = 10\).

- Options:

- Option 1: 12

- Option 2: 5

- Option 3: 10

- Option 4: 20

- The correct answer is Option 3: 10.

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