On March $30,$ Taxpayer timely filed an automatic extension to file Taxpayer's individual federal income tax return.$$ On June $3,$ Taxpayer filed Taxpayer's federal income tax return, which accurately reflected a balance due of $$10,000.$ Taxpayer paid the balance due on November $7.$ From what date did Taxpayer owe interest on the unpaid balance.

Question $1$ options:

a$)$

September $30$

b$)$

March $30$

c$)$

October $15$

d$)$

June $3$

e$)$

April $15$