In a transistor, a change of $8.0 \mathrm{~mA}$ in the emitter current produces a change of $7.8 \mathrm{~mA}$ in the collector current. What change in the base current is necessary to produce the same change in the collector current?
(A) $300 \mu \mathrm{A}$
(B) $400 \mu \mathrm{A}$
(C) $200 \mu \mathrm{A}$
(D) $100 \mu \mathrm{A}$