For the following questions answer them individually
Arjun borrowed some money at the rate of 9% per annum for the first 3 years, at the rate of 6% per annum for the next 2 years and at the rate of 14% for next 4 years. If he pays a total simple interest 2280, how much did he borrow?
Solutions A and B have concentrations of Sulphuric acid as 20% and 50% respectively. In what ratio must A and B be mixed to get a solution of concentration 40%?
A certain number of chocolates were distributed in a classroom containing 15 boys and 25 girls. The number of chocolates each boy gets is equal to 20% of the number of girls and the number of chocolates each girl gets is equal to 15% of the total number of students in the class. Find the total number of chocolates.
In an examination, a student is required to get 360 marks to pass in the exam. A student scores 32% of the maximum marks and is declared fail by 88 marks. Find the maximum marks a student can score.
Find the positive number which when decreased by thirteen is equal to 48 times its reciprocal?
Two quadratic equations are given below. Solve these equations and select the appropriate option
$$x^{2} - 15x +26 = 0$$
$$y^{2} + 9y - 22= 0$$
The length of a rectangle is twice its breadth. If the length of the rectangle is increased by 20% and its breath is decreased by 40% then what will be the percentage change in the area of the rectangle?
If the height of a triangle is increased by 10% and base is decreased by 10%, then its area would be 198 sq-cm. What was the original area?
A rectangular plot has a perimeter of 68m. The ratio of the side and the diagonal is 5 : 13. Find the area of the plot (in sq. m).
A metallic sphere of radius 6 cm is melted down and re casted into three metallic spheres of equal radii. Find the radius of the spheres formed.
