The original price of the radio was $55.55.
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 $x = 0.9 x =$ [tex]\frac{50}{0.9}[/tex].
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.
