A commercial building has an electrical load of 2000 kW at 0.80 power factor, lagging. It has been decided to replace a 100 HP induction motor that drives a pump. This motor operates at an efficiency of 94% and a power factor of 0.90 , lagging. A synchronous motor is purchased as the replacement and is capable of operating at 0.80 power factor, leading, with the same efficiency as the induction motor. Determine

(a) The new building power factor

(b) The percent decrease in line current as a result of the improved power factor