Step 1: Work done by each per day
Work by Praveen Dhanush Kodi per day=241
Work by Babu per day=121
Work by Gopi per day=161
Work by Surya per day=101
Step 2: Work done in the first 3 days (all four working)
Total work per day for 4=241+121+161+101
Find LCM of 24, 12, 16, 10 = 240:
241=24010,121=24020,161=24015,101=24024
Total work per day=10+20+15+24=69/240
Work done in 3 days:
Work in 3 days=3⋅69/240=207/240
Step 3: Remaining work
Remaining work=1−207/240=33/240
After 3 days, Surya leaves. Remaining three work together:
Work per day by Praveen Dhanush Kodi, Babu, and Gopi=10/240+20/240+15/240=45/240
Step 4: Days needed to finish remaining work
Days=45/24033/240=33/45=11/15 days
Step 5: Total days to complete work
Total days=3+11/15=311/15≈3.73 days
✅ Answer
Approximately 3 11/15 days (Option D: 4 2/3 days if rounded)
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