Entrance Exams
Govt. Exams
Total length = 400m. Relative speed = 45 + 35 = 80 km/h = 80 × 5/18 = 22.22 m/s. Time = 400/22.22 ≈ 18 seconds
Profit per unit = 100 - 75 = 25. Profit% = (25/75) × 100 = 33.33%
Work rate A = 1/10, B = 1/15. Combined = 5/30 = 1/6. In 3 days = 3/6 = 1/2 work done. Remaining = 1/2. B's time = (1/2)/(1/15) = 7.5 days
Downstream speed = 18 km/h, Upstream speed = 12 km/h. Time downstream = 108/18 = 6 hours. Time upstream = 108/12 = 9 hours. Total = 15 hours. Wait, recalculate: Total = 6 + 8 = 14 hours
If B = 100, then A = 125. B/A = 100/125 = 80%
A = P(1.1)^3 = 1.331P = 1331. P = 1000
Let price = 100. After -25% = 75. After +25% of 75 = 75 × 1.25 = 93.75. Net decrease = 6.25%
B's rate = 1/8 - 1/12 = (3-2)/24 = 1/24. B takes 24 days
C's CP = B's SP = 690. B's CP = 690/1.15 = 600. A's SP = B's CP = 600. A's CP = 600/1.2 = 500
A = P(1+r/100)^3. 9261 = 8000(1+r/100)^3. (1+r/100)^3 = 9261/8000 = 1.157625. 1+r/100 = 1.05. r = 5%