Explanation:

- The original marked price of the washing machine is Rs7,200.

- After two successive discounts each of x%, the washing machine sells for Rs5,512.50.

- To find the value of x, we need to solve the equation: \(7200 \times \left(1 - \frac{x}{100}\right)^2 = 5512.50\).

- Solving this equation results in \(\left(1 - \frac{x}{100}\right)^2 = \frac{5512.50}{7200}\).

- Calculate that \(\frac{5512.50}{7200} = 0.765625\).

- Taking the square root of 0.765625 gives approximately 0.875.

- Solving \(1 - \frac{x}{100} = 0.875\) gives \(x = 12.5\).

- Option 1: 12

- Option 2: 12.5

- Option 3: 10.5

- Option 4: 15