The marked price of an article is ₹250. After allowing two successive discounts of 20% and x% on the marked price, it is sold for ₹185.60. What is the value of x?

Discount = marked price - selling price = 250 - 185.60 = 64.4

Discount = 250 $$\times \frac{20}{100} \times \frac{x}{100}$$

64.4 = 50 $$\times \frac{x}{100}$$

Selling price = marked price $$\times \frac{100 - discount}{100}$$

185.6 = 250 $$\times \frac{100 - 20}{100} \times \frac{100 - x}{100}$$

185.6 = 250 $$\times \frac{80}{100} \times \frac{100 - x}{100}$$

18560 = 25$$ \times 8 \times (100 - x)$$

x = 100 - 92.8 = 7.2%