Question
There are two pipes to fill a tank. Together, they can
fill the tank in 15 minutes. If one pipe can fill the tank in one and a half times as fast as the other, the faster pipe alone can fill the tank in:Solution
Let the slower pipe fill the tank in x minutes. The faster pipe fills it in 2x/3 minutes (since it's 1.5 times faster). Their combined rate is: 1/x + 3/2x = 1/15 ⟹ 5/2x = 1/15 ⟹ x = 37.5 mins (slower pipe) The faster pipe takes: 2/3 x 37.5 = 25 mins
The simple interest on an amount of Rs. x at an annual rate of 4% for 3 years is Rs. 120 less than the simple interest on an amount of Rs. (x – 800) ...
The simple interest accrued in five years on a principal of Rs. 50,000 is one – tenth of the principal. What is the rate of simple interest p.a.?
Calculate the principal amount 'x' for which the simple interest accrued over 5 years at an annual rate of 24% is equivalent to the compound interest ea...
A man invested a certain amount of sum at 12.5% per annum simple interest and earned an interest of Rs.2700 after 3 years. If the same amount is investe...
Atul has Rs.550 with him. He invested 40% of the amount at 5% p.a. for 6 years and rest at 20% p.a. for 5 years. Find the sum of simple interests receiv...
Simple interest and compound interest (compounded annually) earned on a sum at the end of 2 years at a certain rate of interest p.a. are Rs. 1700 and Rs...
What sum of money must be given at simple interest for 3 months at 4% per annum in order to earn Rs. 240 interest?
- Nisha placed Rs. 25,000 in plan 'P' and Rs. 40,000 in plan 'Q'. Plan 'P' earns 14% simple interest annually for 2 years, and plan 'Q' earns 9% per annum fo...
The excess of compound interest (annual compounding) over simple interest on a principal for 2 years at 10% p.a. is Rs. 200. Find the principal.
Viraj invested Rs. 3500 at 20% p.a. simple interest for 3 years. After 3 years, he invested the amount received by him at the 20% p.a. compound interest...
Relevant for Exams:
