In the question, two quantities (I) and (II) are given. You have to solve both quantities to establish the correct relation between Quantity (I) and Quantity (II) and choose the correct option.

Quantity (I): 'A' and 'B' together can do some work in 15 days. 'A' and 'C' together can do the same work in 12 days. If they all work together then 'A' gets 75 Rs. out of the total share of 375 Rs. If 'B' alone can complete the same work in 't' days then find the value of 't'.

Quantity (II): 'P' and 'Q', alone can do some work in 12 days and 20 days, respectively. If 'P', 'Q', and 'R' work together then it takes them (120/11) days to finish the work. If the time taken by 'R' alone to destroy the work is 'k' days then find the value of 'k'.