A lawn mower retails for $$349.$ The dealer's overhead is $25\%$ of cost$,$ and

normal operating profit is $(\frac{162}{3}$ of cost$.$

a$.$ What is the largest amount of markdown that will allow the dealer to

break even? $($Do not round the intermediate calculations$/$steps$.$ Round

your answer to two decimal places.$)$

Amount $

b$.$ What rate of markdown will price the lawn mower at cost$?($Do not

round the intermediate calculations$/$steps$.$ Round your answer to one

decimal place.$)$

Rate