That’s not at all how prices are set in a Market as per all the applicable theories of Economics (and in practice).
Any profit-driven sellers (i.e. all except maybe a mom-and-pop shop with soft hearted owners) will charge the most that they think buyers are willing to pay, so if for example a seller becomes a local monopoly in an essential good, they’ll pump prices up because customers have no other options (with nothing on the cost side pushing it) and will act similarly when cartels are formed.
Cost pressures will only push prices up in a market with actual competition when it affects every seller (for example if input prices go up, certain taxes go up, or there’s an event that most sellers can use as an excuse to up prices, such as widespread news of inflation) or it the cost pressure is so large that it will bankrupt a seller that won’t raise prices.
This theory of yours, the “if companies pay less taxes they’ll raise salaries” and other such Economically-ignorant theories that ignore basic market principles and causality seem to be immenselly popular with people with certain political-faiths who have never actually run a business or worked with Markets.