Entrance Exams
Govt. Exams
Speed = Distance/Time = 450/5 = 90 km/h
SI = 1440 - 1200 = 240. Rate = (SI × 100)/(P × T) = (240 × 100)/(1200 × 2) = 10%
Work rate combined = 1/12 + 1/15 = 5/60 + 4/60 = 9/60 = 3/20. Time = 20/3 ≈ 6.67 days
Let CP = 100. MP = 150. SP = 150 × 0.8 = 120. Profit = 20%
Let numbers be 5x and 8x. 5x + 8x = 130, 13x = 130, x = 10. Larger number = 8 × 10 = 80
SP = CP + Profit = 400 + (35% of 400) = 400 + 140 = Rs. 540
Boys:Girls = 3:2. If boys = 45, then 3x = 45, x = 15. Girls = 2x = 30
Let number = 100. After 25% increase: 125. After 20% decrease on 125: 125 × 0.8 = 100. Net change = 0%
A's work in 5 days = 5/15 = 1/3. Remaining = 2/3. Combined rate = 1/15 + 1/20 = 7/60. Time for remaining = (2/3)/(7/60) = (2/3) × (60/7) = 40/7 ≈ 5.7 ≈ 6 days.
Initial alcohol = 50 × 0.3 = 15 liters. After adding 10 liters: total alcohol = 25 liters, total volume = 60 liters. Percentage = 25/60 × 100 ≈ 41.67% ≈ 40-45%. Recalculating for 50%: (15+10)/(50+10) = 25/60 = 41.67%. Closest is 40%. Check if answer is 50%: would require different quantities.