GST Registration

these two business are in same state or in different state?

Sir Same state,

you have to take registration for both

Yes you can apply separate gst registration for both business.

please section reference

You have 2 options Sir :

1). Take Separate Registration for both the business Verticals.

2). Since you are already Registered and possesse a valid GSTIN for your Hotel Business, you can use the same GSTIN for Works Contract provided that it should be in the same State.

Refer SECTION 22 and 25 of CGST Act 2017 for reference.

Good explanation.