$30.$ An employee is paid on a piecework basis. The basis of the piecework scheme is as follows:

$1$ to $100$ units $-$ $$0\mathrm{.}40$ per unit

$101$ to $200$ units $-$ $$0\mathrm{.}50$ per unit

$201$ to $299$ units $-$ $$0\mathrm{.}60$ per unit

Only additional units qualify for the higher rates. Rejected units do not qualify for payment.

During a particular day the employee produced $240$ units of which $8$ were rejected as faulty.

What did the employee earn for the day's work?

a$.$ $$109\mathrm{.}20$

b$.$ $$114\mathrm{.}00$

c$.$ $$139\mathrm{.}20$

d$.$ $$144\mathrm{.}00$