Rate of Soda Q = Rq and soda V = Rv

Wq = Rq t

500 lit.= Rq 1/60/60 hr

18.10^5 lit/hr = Rq

therefore, in 24 hr it is 18.10^5 .24 = Wq

by the same method i derived Wv = 108.10^4.24

and since it is given in the question Wv = 2Wq

so the ratio will be 36.10^5.24 / 108.24.10^4

and got the answer 10 / 3 which is the correct answer

is the way i approached it is correct or i got luckey?

if you see 500:300 and the additional info about the amount of bottles being 2:1, it’s clear how you ended up at 10:3.

There is no need to convert the work from second to day.

The assumption that you are doing that Wv = 2*Wq is wrong. Wv and Wq are the total number of liters produced in a day and not the number of bottles. But the ratio of 2:1 is given for the number of bottles produced and not the liters. Give it another try with this new information