Explanation:

Let the marked price of the article =x Rs.
As per the question, there is the 30% and 15% discounts are given at the marked price,
$$\Rightarrow (\dfrac{x \times 70}{100})\times (\dfrac{85}{100})=547.40$$
$$\Rightarrow x=547.40\times \dfrac{10\times 100}{7\times 85}$$
$$\Rightarrow x=920$$Rs.