let total ticket issued for afternoon show = T
Therefore Tickets issued for evening show will be = 2T
Question = Of the total number of tickets issued for both shows. What percentage has been sold ?
Statement 1=
A total number of 450 tickets have been issued for both shows.
T+2T = 450 tickets
$$\frac{3T}{T}=\frac{450}{3}$$
$$T=150\ ticket\ and\ 2T=150\cdot2=300 Tickets$$
But this does not give any information on the ticket sold we only have total ticket issued so we cannot find the percentage sold from the ticket issued. Statement 1 is NOT SUFFICIENT.

Statement 2: Exactly 3/5 of tickets issued for the afternoon show have been sold and exactly 1/5 of the tickets issued for the evening show have been sold.

Total Tickets = T+2T = 3T
$$Tickets\ sold\ in\ the\ afternoon\ =\left(\frac{3}{5}\right)T$$
$$Tickets\ sold\ in\ the\ evening\ =\left(\frac{1}{5}\right)2T=\left(\frac{2}{5}\right)T$$
$$Total\ ticket\ sold=\left(\frac{3}{5}+\frac{2}{5}\right)T$$
$$Total\ ticket\ sold=\frac{\left(3+2\right)}{5}T=\left(\frac{5}{5}\right)T=T$$
$$Total\ \%sold=\frac{\left(Total\ ticket\ sold\right)}{Total\ ticket\ sold}\cdot100$$
$$\frac{T}{3T}\cdot100=\frac{1}{3}\cdot100=33.33\% of\tickets\sold$$
Statement 2 alone id SUFFICIENT.

$$answer\ is\ OPTION\ B.$$