After giving two successive discounts, each of x% on the marked price of an article, the total discount is ₹18,000. If the marked price of the article is ₹50,000, find the value of x.

Solution:

Marked Price (MP) = ₹50,000
Total discount = ₹18,000

So, Selling Price (SP):
$ = 50000 - 18000 = 32000 $

After two successive discounts of x%:

$ \text{SP} = 50000 \times \left(1 - \frac{x}{100}\right)^2 $

So,
$ 32000 = 50000 \left(1 - \frac{x}{100}\right)^2 $

Divide by 50000:

$ \left(1 - \frac{x}{100}\right)^2 = \frac{32}{50} = \frac{16}{25} $

Take square root:

$ 1 - \frac{x}{100} = \frac{4}{5} $

Solve:

$ \frac{x}{100} = 1 - \frac{4}{5} = \frac{1}{5} $

$ x = 20 $

Final Answer: 20%