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?

Solution(By Examveda Team)

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
$$\eqalign{ & = {\text{Rs}}.\left( {\frac{{90}}{{100}} \times \frac{{90}}{{100}} \times \frac{{90}}{{100}} \times 100} \right) \cr & = {\text{Rs}}{\text{. }}72.90 \cr} $$
Final price at B = 81% of 90% of Rs. 100
$$\eqalign{ & = {\text{Rs}}.\left( {\frac{{81}}{{100}} \times \frac{{90}}{{100}} \times 100} \right) \cr & = {\text{Rs}}{\text{. }}72.90 \cr} $$
Hence, the price of the article is same at A and B