For the following questions answer them individually
Simple interest on a certain sum of money for 3 years at 18% per annum is half the compound interest on Rs. 9000 for 2 years at 10% per annum. The sum placed on simple interest is:
Find k, if the line 4x+y = 1 is perpendicular to the line 5x+ky = 2?
The mean of marks secured by 55 students in division A of class X is 58, 45 students of division B is 54 and that of 75 students of division C is 52. Find the mean of marks of the students of three divisions of Class X.
Find length of the arc whose central angle is 90° and radius of the circle is 3.5 cm?
The ratio of present ages of Ratnabali and Shaukat is 8:5. After 22 years the ratio of their ages will be 10:9. At present, what is Ratnabali's age?
The area of an equilateral triangle is 9√3 sq cm, find height of the triangle?
Ticket for an adult is Rs 2200 and a child is Rs 990. One child goes free with two adults. If a group has 23 adults and 11 children, what is the discount the group gets?
If (8 + 10x) : (13x - 2) = 2, then the value of x is
If $$xy = -18$$ and $$x^{2} + y^{2} = 85$$, then find the value of (x + y).
A number is greater than twice its reciprocal by 31/4. Find the number.