Question
Rahul placed Rs. 40,000 between two investment options,
‘E’ and ‘F’, for 6 years and 3 years, respectively. Option ‘E’ accrues simple interest at 10% per annum, and option ‘F’ grows by compound interest (compounded annually) at 20% per annum. What amount was put into option ‘F’ if the interest from ‘E’ exceeds that from ‘F’ by Rs. 1,200?Solution
ATQ, Let the investment in option ‘F’ be Rs. ‘z’. Investment in ‘E’ = Rs. (40000 - z). Simple interest from ‘E’ = (40000 - z) × 10% × 6. Compound interest from ‘F’ = z × [{1 + (20/100)}3 - 1]. Solving the equation for ‘z’ based on the interest difference, z = Rs. 15,000.
If a tank can be filled by a tap in 14 hours, but due to an outlet, it actually takes 7 hours longer to fill the tank, find the duration in which the ou...
An inlet pipe can fill a tank in 10 hours, whereas an outlet pipe can empty the same tank in 25 hours. Find the time taken by two such inlet pipes and o...
Taps Q and R can fill a tank in 24 minutes and 32 minutes, respectively. The efficiency of tap S is 75% greater than that of tap Q. If tap R's efficienc...
Two taps can fill a tank in 18 hours and 24 hours, respectively. A waste pipe can empty the tank in 36 hours. If all three pipes are opened together, ho...
Two inlet pipes M and N alone can fill a tank in 12 hours and 16 hours respectively and an outlet pipe P alone can empty the whole tank in 8 hours. Firs...
An inlet pipe can fill a tank in 18 minutes, while an outlet pipe can empty it in 27 minutes. Sujata starts the inlet pipe at 6 a.m., but the outlet pip...
- Pipe X can fill a pool in 18 hours and pipe Y in 36 hours. If both the pipes are opened in an empty pool, how much time will they take to fill it?
Pipes ‘A’ and ‘B’ can fill a tank in 6 hours and 9 hours, respectively. If pipe ‘C’ is opened along with pipes ‘A’ and ‘B’, then the...
Tap ‘A’ and tap ‘B’ can fill a tank in 42 hours and 30 hours, respectively. If both taps are opened together, then find the time after which tap...
Pipe ‘A’ can fill a tank in 14 hours whereas pipe ‘B’ can empty it in 28 hours. If both pipes are opened together while pipe ‘B’ is closed a...
Relevant for Exams:
