A specific model of computer servers are being sold by Company A for $$26,900$ each, offering trade discounts of $8\%$ and $5\%$ and by Company B for $$35,800$ each, offering trade discount rates of $13\%$ and $3\%.$

a$.$ Which company offers the servers for a cheaper price?

A

B

b$.$ What further trade discount rate must the company with the higher price provide to match the lower price?

$0\mathrm{.}00$

$\%$