Tumble Company sells a digital camera for $$1,450\mathrm{.}00$ less $20\mathrm{.}00\%.$ Another wholesaler, Spring Company sells a similar digital camera for $$850\mathrm{.}00$ less $22\mathrm{.}00\%.$

a$.$ What is the difference in the price offered by these two distributors?

Round to the nearest cent

b$.$ What further trade discount rate should the more expensive wholesaler offer to match the other wholesaler's price?

$\%$

Round to two decimal places