Two stories A and B mark the price of an item identically. A allows 3 successive discounts of 10% each. B allows 10% discount on the list price and a subsequent discount of 19%. Under the circumstances, which of the following is true?

Answer: Option C

Let the M.P. of the item at each of the stories A and B be Rs. 100.
Final price at A = 90% of 90% of 90% of Rs. 100
$$\begin{array}{rl}& =\text{Rs}.\left(\frac{90}{100}\times \frac{90}{100}\times \frac{90}{100}\times 100\right)\\ & =\text{Rs}\text{. }72.90\end{array}$$
Final price at B = 81% of 90% of Rs. 100
$$\begin{array}{rl}& =\text{Rs}.\left(\frac{81}{100}\times \frac{90}{100}\times 100\right)\\ & =\text{Rs}\text{. }72.90\end{array}$$
Hence, the price of the article is same at A and B