The cost price of an article is 64% of the marked price. The gain percentage after allowing a discount of 12% on the marked price is

Let MP of the article = ₹ N
∴ C P of the article = (N x 64) / 100 = ₹ 16N/25
And SP of the article = [N x (100 - 12)]/100 = ₹ (N x 22)/25
⇒ profit = [ 22N/25 - 16N/25 ] = ₹ 6N/25
Hence, profit per cent = [(6N/25) / (16N/25)] x 100%
= (6 x 100)/16 = 37.5%