Question
Pipe ‘A’ takes 15 minutes to fill a tank.
Pipe ‘B’ takes 20 minutes to empty the same tank. If pipe ‘B’ is opened 12 minutes after pipe ‘A’, then find the total time taken to fill the tank in this manner.Solution
Let the capacity of the tank be ‘60’ litres {LCM (15, 20)} Efficiency of pipe ‘A’ = (60/15) = 4 litres/minute Efficiency of pipe ‘B’ = (60/20) = 3 litres/minute Quantity of water filled by pipe ‘A’ in 12 minutes = 12 × 4 = 48 litres Quantity of water to be filled = 60 – 48 = 12 litres Time taken by pipe ‘A’ and ‘B’ together to fill 12 litres of water = {12/(4 – 3)} = 12 minutes Total time taken = 12 + 12 = 24 minutes
Riya invests Rs. βXβ for 5 years in scheme-A offering simple interest at 12% p.a., while Karan invests the same amount for 3 years in scheme-B offer...
What will be the ratio of simple interest earned on certain amount at the same rate of interest for 3 years and that for 9 years?
Anjali invested Rs.6000 in a scheme offering compound interest of x% p.a. compounded annually. If at the end of 2 years, interest received by her from t...
Ankit deposits a sum of money at an annual compound interest rate of 12%. Over a period of 3 years, the interest accumulated amounts to Rs. 864. If he i...
Atul has Rs.600 with him. He invested 30% of the amount at 5% p.a. for 6 years and rest at 15% p.a. for 4 years. Find the sum of simple interests receiv...
A sum of Rs. 3800 is invested at simple interest for 2 years. If the rate interest for first year is 12% p.a. while 20% p.a. for second year, then find ...
- Karan saved Rs. x in a fixed deposit at 12% simple interest per annum. If the total interest after 5 years amounts to Rs. β1.8x β 1000β, determine th...
Maya invested Rs. 5000 in scheme 'E' for 2 years and Rs. 6000 in scheme 'F' for 5 years. Both schemes offer a simple interest rate of 10% per annum. Fin...
Rohit borrowed Rs. 6000 at R% S.I. and Rs. 4000 at (R + 5)% S.I. for 2 years. If the total interest was Rs. 2000, find the rate on Rs. 4000.
The interest received by investing Rs. 4000 for 2 years at compound interest of 20% p.a., compounded annually, was re-invested for 3 years at simple int...