A furniture showroom marks up the cost price of a dining table by 60% to arrive at its marked price. During a festive sale, the showroom offers two successive discounts on the marked price: first a discount of 20%, followed by a further discount of 10% on the already-discounted price. The dining table's cost price to the showroom is Rs. 15,000.
Separately, the showroom also sells a sofa set with a marked price of Rs. 48,000 and a cost price of Rs. 30,000. Instead of two successive discounts, the showroom offers a single flat discount of 25% on this sofa set's marked price. A second, differently designed sofa set has a cost price of Rs. 27,000, and the showroom wants to price it so that it earns exactly the same profit percentage as the first sofa set earned after its single discount.