Question
A sum of money, when invested at an annual compound
interest rate of 'r%', amounts to Rs. 3,600 after 2 years and Rs. 4,320 after 3 years. Determine the value of 'r'.Solution
Let the sum invested be Rs. 'P'. ATQ; P X {1 + (r/100)}2Β = 3600 ....... (I) P X {1 + (r/100)}3Β = 4320 ....... (II) On dividing equation (II) by equation (I), we have; {1 + (r/100)} = 1.2 Or, 100 + r = 120 So, r = 20
Pipes βAβ and βBβ together can fill a tank in 18 hours, while pipe βBβ alone can fill it in 36 hours. If pipe βCβ 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 βxβ 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. βAβ and βCβ 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 βAβ and pipe βBβ can fill a cistern in 15 minutes and 36 minutes respectively. Pipe βCβ alone can empty the cistern in 12 minutes. If a...