Is it correct to state tht VAT usually increases the retail price as the tax is payable on first sale price ?

In Vat,tax is payable on all sales and not only the first sales Price

For Example

A sold goods to B for 100000+5%  vat=5000

B sold it further for 120000+5% Vat=6000

In this case,

Vat Payable by A=Output Vat-Input Vat=5000-0=5000

Vat Payable by B=Output Vat-Input Vat=6000-5000=1000

Total Vat Paid to Govt=

5000 by A+1000 by B=6000

Hence,Vat does not increase retail price as it is only on value addition made by person and not whole amount