A 35% profit is made when a discount of 35% is given on the marked price of an item. When the discount is 45%, then the profit percentage will be:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. %
Let the marked price (MP) = 100
Discount = 35% and Proft = 35%
Selling price (SP) = 100 - 35 = 65
So, the cost price (CP) = [100/(100 + Profit%)] × SP
= [100/(100 + 35)] × 65
= (100/135) × 65
= 1300/27
New discount = 45%
New selling price = 100 - 45 = 55
Profit = 55 - (1300/27) = 185/27
Profit% = (Profit/CP) × 100 = [(185/27)/(1300/27)] × 100 = (185/13)% = %
Therefore, the profit percentage will be %.