I don't think there is any standrad report to get the inventrory report profit center wise.
For this you can take the dump from MB52 & take the Profit Center List dump, combine both the reports by using v-look up.
Copy the programming code from t/code: MB52 & develop the new report & add the Profit center field in that ...for which you need to take help from ABAPer.
There is no standard report to get the inventrory report profit center wise.
You can take help from ur ABAP team to dovelop the report or you can download the report from MB52 and the download the Profit centerv/s material data and use some excel expertise to get the complete report.
You cannot check profit centre wise inventory (of materials) directly. But you can get profit center wise inventory GL accounts data in FS10n transaction. Choose dynamic selection options - and input profit center. It will show Inventory GL accounts balance period wise.
You can check MARC table - and find the materials with concerned profit center. Then stock value of those materials in MC.9/MB5b transaction.