The amplitude of $15 \sin (1000 \pi \mathrm{t})$ is modulated by $10 \sin (4 \pi \mathrm{t})$ signal. The amplitude modulated signal contains frequency (ies) of
(A) 500 Hz
(B) 2 Hz
(C) 250 Hz
(D) 498 Hz
(E) 502 Hz
Choose the correct answer from the options given below: