Question

A radio is on sale for $50 if this price represents a 10% discount from the original price what is the original price to the nearest nickel

Answer 1

The original price of the radio was $55.55.

Step-by-step explanation

The cost after the reduction in price due to the sale is $50. There was a 10% discount so this means that the current price which equals $50 is 90% i.e. 100% - 10% (due to discount) of the original price.

Assume the original price was $x.So

$x(100%)- 10% = $50

90% of $x = 0.9 x =$
`(50)/(0.9)`.

x = $55.555

Since one nickel is equal to $0.05 we get that rounding the $55.555 off to the nearest nickel we get that the original price was $55.55.