The perimeter of a square is equal to the perimeter of a rectangle, and the latter has a width of 12 cm. The area of the square is 400 sq.cm. Find the area of the rectangle.
In a competitive exam, the minimum qualifying percentages for Category A and Category B jobs are 25% and 45%, respectively. A candidate scored 83 marks and failed to get a Category B job by 25 marks. What is the minimum qualifying marks to secure a Category A job?
The average salary of 12 employees in a company was recorded to be ₹20,000. If the salary of the manager is also included, then the average salary increases by ₹2,000. Find the salary of the manager.
Umesh earns a simple interest of ₹1,600 on a certain sum in two years at the rate of 4% per annum. How much more interest would he have earned if he had invested the same sum at 4% interest per annum, compounded annually?
The average of a set of 20 numbers is P. If one of the numbers from the set is replaced with 58, then the average becomes (P -2). What is the value of the number that is replaced?