We know link utilisation of a network = 1 / (1 + 2a) where
a = propogation time / transmission time
In calculating transmission time as we know in stop n wait ARQ , only 1 frame can be sent at a time hence the data size is taken of 1 frame only.
So transmission time = Data size / Data rate
= 10 * 103 bits / 10 * 106 bps
= 1 ms
Propogation delay given = 270 ms
So the value of a as mentioned earlier = 270 / 1 = 270
So link utilisation = 1 / ( 1 + 2 * 270 )
= 1 / (541)
= 0.19 %