Question
A certain sum invested in compound interest (compounded
annually) grows to 5040 in three years. If the rate of interest is 25% for the first year, 40% for the second year, and 50% for the third year, then what is the sum?Solution
Given - A= 5040, r₁=25%, r₂=40%, r₃=50% P=? So now - A=P[1+r₁/100] [1+r₂/100] [1+r₃/100] 5040=P [1+25/100] [1+40/100] [1+50/100] 5040=P [125/100] [140/100]]150/100] P = [5040×1000000]/125×140×150 =5040×80/14×15 =403200/210=40320/21 P=1920
Pipes ‘A’ and ‘B’ together can fill a tank in 18 hours, while pipe ‘B’ alone can fill it in 36 hours. If pipe ‘C’ takes 12 hours less th...
Tap A can fill a tank in 12 hours. Tap B can fill 20% part of the same tank in 3 hours, whereas Tap C can alone empty a tank in ‘x’ hours. 5/8 part ...
Inlet pipes 'A', 'B' fill a tank in 30 and 15 minutes respectively. Outlet pipe 'C' is 50% less efficient than A. ‘A’ and ‘C’ work for 15 minute...
A cistern has a leak that can empty it in 12 hours. A tap is turned on, which fills water at the rate of 15 liters per hour. Now, the cistern gets empti...
Pipes 'A', 'B', and 'C' working together can fill a tank in 4 hours, while pipes 'B' and 'C' together can fill the same tank in 2...
Pipe X and Y can fill a tank alone in 18 minutes and 24 minutes respectively. If all three pipes X, Y and Z together fill the tank in 8 minutes, find th...
Pipes P and Q alone can fill a tank in 6 hours and 3 hours respectively. When both pipes along with pipe R, an outlet pipe, are opened together, 2/5 of ...
If a tank can be filled by a tap in 12 hours, but due to an outlet, it actually takes 9 hours longer to fill the tank, find the duration in which the ou...
Two pipes A and B can fill a tank in 12 min., and 16 min, respectively. If both the pipes are opened simultaneously, after how much time A should be cl...
Pipe ‘A’ and pipe ‘B’ can fill a cistern in 15 minutes and 36 minutes respectively. Pipe ‘C’ alone can empty the cistern in 12 minutes. If a...
Relevant for Exams:
