Cash conversion cycle = receivables days + inventory processing days – payables payment period.
Receivables days = 365 / receivables turnover = 365 / 10 = 36.5 days.
Inventory processing days = 365 / inventory turnover = 365 / 5 = 73.0 days.
Payables payment period = 365 / payables turnover = 365 / 12 = 30.4 days.
Cash collection cycle = 36.5 + 73.0 – 30.4 = 79.1 days.