Hi Bhavana
The cutoff of Mhtcet is depend upon college to  college there many engineering college in Mumbai which affiliated to Mumbai University but if you are aiming for good government college in Mumbai then cutoff will high as compared private college .I am some top engineering college in Mumbai and there cutoff

1) VJTI  cutoff 180/200

2) SPIT /SPCE.  160/200

3) KJ somaiya   150/200

4) DJ sanghvi.   150/200

5) Fr.angel.  140/200

These are some good college in Mumbai

Hope above information is useful

If you have any doubt you can comment below I am more than happy to help you

Good luck