Govt Exams
Let CP = 100. MP = 140. SP = 140 × 80/100 = 112. Profit = 12%
Combined rate = 1/6 + 1/8 + 1/10 = 20/120 + 15/120 + 12/120 = 47/120. Time = 120/47 ≈ 2.73 hours
A = P(1 + r/100)^n = 10000(1.1)^2 = 10000 × 1.21 = 12100. CI = 12100 - 10000 = ₹2100
P's rate = 1/30, Q's rate = 1/40. Combined = 7/120. In 10 days: 10 × 7/120 = 7/12 completed. Remaining = 5/12. Q's time = (5/12)/(1/40) = 5/12 × 40 = 16.67 ≈ 15 days
Item 1: CP=500, SP=600 (20% gain). Item 2: CP=500, SP=425 (15% loss). Total CP=1000, Total SP=1025. Profit=25. Percentage = 2.5%
SI = (P × R × T)/100 = (5000 × 8 × 2.5)/100 = 100000/100 = ₹1000
Upstream speed = 15-3 = 12 km/h. Downstream speed = 15+3 = 18 km/h. Time upstream = 36/12 = 3 hours. Time downstream = 36/18 = 2 hours. Total = 5 hours
Profit = 25% of 800 = 200. Selling Price = 800 + 200 = ₹1000
Total distance = 240 + 360 = 600m. Time = 30 seconds. Speed = 600/30 = 20 m/s = 20 × 3.6 = 72 km/h
A's rate = 1/12, B's rate = 1/18. Combined rate = 5/36. In 6 hours, they fill 30/36 = 5/6. Remaining = 1/6. Time for A alone = (1/6)/(1/12) = 2 hours. Total = 6+2 = 8 hours. But with both for 6 hrs: (5/36)×6 = 5/6 filled. Remaining 1/6 by A: 2 hours. Check: Total effective = 4 hours additional work needed.