The price of an article is raised by 45% and then two successive discounts of 15% each are allowed. Ultimately the price of the article is _________. 

increased by 4.7625%

Let the cost price of the artcle = 100

Markup = 45%

so the marked price of that article = 145

Discounts = 15% each for two

Selling price = 145 × \(\frac{85}{100}\) × \(\frac{85}{100}\)  = 104.7625

So the percentage increased  = 104.7625 - 100 = 4.7625%