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A $250\: V$ dc shunt motor has an armature resistance of $0.2\:\Omega$ and afield resistance of $100\:\Omega$. When the motor is operated on no-load voltage, it draws an armature current $5\: A$ and runs at $1200\: rpm.$ When a load is coupled to the motor, it draws total line current of $50\: A$ at rated voltage, with a $5\%$ reduction in the air-gap flux due to armature reaction. Voltage drop across the brushes can be taken as $1\: V$  per brush under all operating conditions. The speed of the motor, in rpm, under this loaded condition, is closest to:

  1. $1200$
  2. $1000$
  3. $1220$
  4. $900$
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