0.5 moles of gas $A$ and $x$ moles of gas $B$ exert a pressure of 200 Pa in a container of volume $10 \mathrm {~m} ^ { 3 }$ at 1000 K. Given, R is the gas constant in $\mathrm { JK } ^ { - 1 } \mathrm {~mol} ^ { - 1 }$, $x$ is:\\
(1) $\frac { 4 + R } { 2 R }$\\
(2) $\frac { 2 R } { 4 + 2R }$\\
(3) $\frac { 4 - R } { 2 R }$\\
(4) $\frac { 2 R } { 4 - R }$