A computer was on sale for $270. If the original price was cut by 40% what was the original price?

The sale price represented 100% - 40% = 60% of the original price.

Since 60% is equal to $270, then 1% is equal to $270/60 = $<<270/60=4.5>>4.5.
Therefore, the original price of the computer was $4.5 x 100 = $<<4.5*100=450>>450. Answer: \boxed{450}.