A retailer announces a discount of 30% for selling an air-conditioner marked at Rs. 92,000. The cost price of the air-conditioner is 70% below the marked price. He offers a further discount of 20% if the buyer presents his membership card of the retailer's store. The profit of the retailer with the membership card scheme is what percentage of the profit of the retailer without the membership card scheme?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 65%.
Given that
A discount of 30% for selling an air-conditioner marked at Rs. 92,000.
The cost price of the air-conditioner is 70% below the marked price
Cost Price = Selling Price × 100/(100 - loss %)
Selling price = Marked price × (100 - discount%)/100
According to the question
Cost price (C.P.) = 30% × M.P = 30 × 92000/100 = Rs. 27600
Selling price of AC without membership card
S.P. = M.P. × (100 - 30)/100
S.P. = 92000 × 70/100 = Rs. 64400
Profit earned without membership card = S.P. - C.P. = 64400 - 27600 = Rs. 36800
Now, S.P. with membership card = 64400 × (100 - 20)/100 = Rs. 51520
Profit earned with membership card = S.P. - C.P. = 51520 - 27600 = Rs. 23920
Hence, the required percentage = (23920/36800) × 100 = 65%