Find the share of Rakesh if total work is completed by three person Rakesh, Arjun and Vimal. Statement I: Rakesh worked for 8 days and Vimal worked for 5 days and Arjun worked for 6 days. Statement II: Ratio of efficiency of Rakesh and Arjun is equal. Also Rakesh and Arjun working together may complete the whole work in 10 days. Statement III: If Vimal work for 10 days he completes 60% of total work.

Statement II: Rakesh and Arjun have equal efficiency, and together complete work in 10 days, so each does 1/20 per day. Statement III: Vimal working 10 days completes 60%, so Vimal's rate = 60%/10 = 6% per day. Statement I gives days worked: Rakesh=8, Arjun=6, Vimal=5. Using rates from II and III: Rakesh's share = 8*(1/20) = 40%, Arjun's share = 6*(1/20) = 30%, Vimal's share = 5*6% = 30%. All three statements are needed.