A sound system was sold during a sale for $ 409.98 . What is the regular selling price if the price of the sound system was reduced by 2 / 5 .

Answer 1

409.98 is the sales price after a 2/5 price reduction.

2/5 = 40% = .4

x - .4x = 409.98

.6x = 409.98

x = 409.98/.6 = 683.30

Original price = $683.30

40% off = .4(683.3) = 273.32

683.30 - 273.32 = 409.98