Let`s assume the price fixed on the article is Rs X.

Given that the cost of the article is Rs 72 and a profit of 15% is made after giving a 10% rebate on the price.

The selling price after a 10% rebate is given is (100% - 10%) = 90% of the price fixed, which is 0.9X.

The profit made is 15% of the cost, which is 0.15 * 72 = Rs 10.80.

We can set up the equation:

Selling price - Cost price = Profit

0.9X - 72 = 10.80

Solving this equation, we find:

0.9X = 10.80 + 72

0.9X = 82.80

X = 82.80 / 0.9

X ? Rs 92.00

Therefore, the price fixed on the article is approximately Rs 92.00.