It just depends on how much you weight right now, how tall you are and how much weight you're looking to lose....as well as how fast you want to lose. The greater calorie deficit you create, the faster (typically) you will lose weight.
If you google BMR calculator, you'll find out how many calories your body burns just to exist, even if you don't move at all. . I'm 5'9", 21 yrs. old and weight 203lbs right now. I need 1763 calories to maintain, according to the BMR calculator I found. So if I ate 1600 calories a day, I'd create a calorie deficit of 163 calories less than I need to survive. So, yes I'd lose weight...maybe a little slower than I might want, but it would still happen.
You can increase that deficit through exercise as well
