Question

Discount
a dealer marks his goods 35% above the cost price and then allows 15% discount on it. What is the cost price of an article on which he gains rupees 88.50?

Answer 1

CP = cost price
MP = CP + 35% of CP = 135/100 * CP = 1.35 CP
discount = 15%  of MP = 15 /100 * MP = 0.15 * 1.35 CP  = 0.2025 CP
sale price SP = MP - discount  =  1.35 CP - 0.2025 CP = 1.1475 CP
profit or gain = SP  - CP  = 1.1475 C P - CP  = 0.1475 CP

He gained Rs 88.50  => 0.1475 CP = 88.50
CP cost price =  88.50 / 0.1475 = Rs 600