First case: Frequency = υ ; No. of beats/sec. =5 and frequency (sounded with) =200Hz . Second case: Frequency =2υ; No. of beats/sec =10 and frequency (sounded with )=420Hz. In the first case, frequency (υ)=200±5=205 or 195Hz. And in the second case, frequency (2υ)=420±10 or υ=210±5=205 or 215. So common value of υ in both the cases is 205Hz..