GST wrongly paid

Yes... He can claim refund for the wrongly paid amount.

Sir can he get the refund of CESS wrongly paid?

I think Yes... Bcoz, it's cash payments. So, I think we can get it...
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due to technical issues taxpayers have paid wrong amount to the government. Sometimes they pay excess amount. In that case i.e Amount is paid in excess of actually payable to the Government’s treasury, then we will get ITC for that in next tax period. But if there is no liability to set off the ITC, then that amount will be refunded to the taxpayer.

Yes ,.. you can get the wrongly paid cess also , any balance in cash ledger can be claim refund

but refund depends upon amount. because if refund amount is minimal authorities will say why you are wasting our time and yours.
same happened with me