Entrance Exams
Govt. Exams
Filling rate = 1/15 per hour. Emptying rate = 1/20 per hour. Net rate = 1/15 - 1/20 = (4-3)/60 = 1/60. Time = 60 hours.
Work done by A in 1 day = 1/20. Work done by A+B in 1 day = 1/12. So B's work in 1 day = 1/12 - 1/20 = (5-3)/60 = 2/60 = 1/30. Therefore B takes 30 days.
Item 1: SP=500, Gain=25%, CP=500/1.25=400. Item 2: SP=500, Loss=25%, CP=500/0.75≈666.67. Total CP=1066.67, Total SP=1000. Loss=66.67. Percentage=(66.67/1066.67)×100≈6.25%
X+Y = 1/8, Y+Z = 1/12, X+Z = 1/16. Adding: 2(X+Y+Z) = 1/8 + 1/12 + 1/16 = 13/48. X+Y+Z = 13/96. X = 13/96 - 1/12 = 13/96 - 8/96 = 5/96. X alone = 96/5 = 19.2 days
CP per banana = 30/12 = 2.5. SP per banana = 3. Profit = 0.5. Percentage = (0.5/2.5) × 100 = 20%
Remaining days = 150. Remaining work = 1/2. Current productivity = (1/2 work)/(150 days × 10 workers) = 1/3000 per worker-day. Required rate = (1/2)/(150 × x) where x is total workers. x = 10. So need 10 additional workers.
Let original = x. x × 1.15 = 299. x = 299/1.15 = 260
Fill rate = 1/20, Drain rate = 1/30. Net rate = 1/20 - 1/30 = 3/60 - 2/60 = 1/60. Time = 60 minutes
A's rate = 1/18, B's rate = 1/12. B alone for 3 days = 3/12 = 1/4. Remaining = 3/4. Combined rate = 1/18 + 1/12 = 5/36. Time together = (3/4)/(5/36) = 27/5 = 5.4 ≈ 5 days
Let B = 100, A = 120. Difference = 20. Percentage less = (20/120) × 100 = 16.67%