Question
Ram and Shyam are partners in completing a project. Ram
can finish the project in 42 days, while Shyam can complete it in 54 days. Both began the project together, but Ram had to stop after 21 days, leaving Shyam to finish the project by himself. How many days did it take to complete the entire project?Solution
Let total work = 378 units (LCM of 42 and 54) Amount of work done by Ram in one day = 378/42 = 9 units Amount of work done by Shyam in one day = 378/54 = 7 units Amount of work done by Ram and Shyam together in 21 days = 21 × 16 = 336 units Time taken by Shyam to complete the remaining work = (378 – 336)/7 = 6 days Total time = 21 + 6 = 27 days
A person, "A," sells an item for Rs. 380.8 and incurs a 15% loss. At what price should "A" sell the item to achieve a 5% profit?
The income of person P is 20% higher than that of person Q. If Q spends 82% of his income, which amounts to ₹14,760, determine ...
Find the value of cos 15° × cos 75° + sin 15° × sin 75°:
A businessman bought goods for Rs 1050 and sold them on the same day for Rs 1228.5 on credit for 10 months, thus earning a profit of 4%. Find the rate o...
'P' invested a certain sum of money for 2 years at an annual compound interest rate of 20% and earned a total interest of Rs. 660...
The value of 0∫π cos3x dx is –
The main folder on a storage device is known as
A sum of Rs. 4,000 is invested for 2 years at an annual interest rate of 'p'%, compounded annually. If the total interest earned ...
I). 2p 2  – 13p + 21 = 0
II). q 2  – 10q + 24 = 0
If (a + b) = 8 and ab = 10, then find the value of (a2Â + b2).
Relevant for Exams:
