let original bill be x
10% is deducted from original bill
so 10% is deducted from x
so 90% of original bill remains
so 90% of x remains
but 90% of x = 58.50
=> 90x / 100 = 58.50
=> 90x = 58.50 x 100 = 5850
x = 5850 / 90 = 65
so original bill is $ 65.00