Question

A shopkeeper allows a cash discount of 12.5% on a machine A customer pays an amount of Rs 437.50 a machine . At what price is the machine listed ?

Answer 1

Let the listed price of machine be x, then 
x - 12.5% of x = 437.50
⇒ x - 12.5x/100 = 437.50
⇒ (100x - 12.5x)/100 = 437.50
⇒ 87.5x = 437.50 × 100
⇒ 87.5x = 43750
⇒ x = 43750/87.5 = 500

∴ The listed price of machine is Rs. 500

Answer 2

S.P of machine = 437.50

Discount% = 12.5%

listed price or M.P = 100× S.P

100-Discount %

= 100× 437.50

100-12.5

= 43750

= 87.5

Listed price = 500