Answer
we know that ,
(COP)beta = $Q_{in}$ /$W_{cycle}$
$W_{cycle}$ = $Q_{out}$ - $Q_{in}$
$Q_{in}$ = $Q_{out}$ - $W_{cycle}$ =(1000-300)Btu = 700 Btu.
(COP)beta = 700/300 = 2.33
Work Step by Step
we know that ,
(COP)beta = $Q_{in}$ /$W_{cycle}$
$W_{cycle}$ = $Q_{out}$ - $Q_{in}$
$Q_{in}$ = $Q_{out}$ - $W_{cycle}$ =(1000-300)Btu = 700 Btu.
(COP)beta = 700/300 = 2.33