Question
A and B are capable of completing a project individually
in 40 days and 50 days, respectively. Initially, A and B collaborated on the project, and after 10 days, C joined them. With C's assistance, the total project was completed in 20 days. How long would it take for C to complete the project on their own?Solution
Part of the work done by A and B in one day = (1/40) + (1/50) = 9/200 Part of the work done by A and B in 10 days = 90/200 Remaining work = 1 – (90/200) = 110/200 Let the time taken by C alone to complete the work be ‘c’ days. So, (90/200) + (10/c) = 110/200 10/c = (110/200) – (90/200) c = 100 So, time taken by C alone to complete the work = 100 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:
