Question
A, B, and C together can do a work alone in 12 days, 18
days, and 54 days respectively. A alone starts the work and work for 3 days and leaves the work, then B alone does the work for 8 days and leaves the work. If remaining work is done by C alone then for how many days has C worked?Solution
Total work = LCM of 12, 18 and 54 = 108 units Unit per day of A = 108/12 = 9 Unit per day of B = 108/18 = 6 Unit per day of C = 108/54 = 2 Units of work done by A in 3 days = 9 × 3 = 27 units Units of work done by B in 8 days = 8 × 6 = 48 units Remaining work = 108 – (27 + 48) = 33 units So, C has worked for 33/2 = 16.5 days
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:
