Question
In a school, Class 10 is divided into two sections.
Section A has 100/3% of the total students, while the rest are in Section B. If 15 students from Section B are moved to Section A, the total number of students in Section A becomes 50% of the entire class. What percentage of the total students would be in Section A if, instead, 15 students were initially transferred from Section A to Section B?Solution
Let the number of total students in class 10 = 3x Students in section A = x Students in section B = 2x According to question- 2x-15 = 3x/2 0.5x = 15 X = 30 Initially number of students in section A = x = 30 Initially number of students in section B = 2x = 60 After shifting of 15 students, remaining students in section A = 30-15 = 15 Required percentage = 15/90 × 100 = 50/3 %
The length of a plot is three times its breadth. A playground measuring 150 square metres occupies half of the total area of the plot. What is the lengt...
The perimeter of a rectangular field is 44 metres and its area is 114 m2 . What is the length of the diagonal of this field?
The ratio of males and females in a zoo is 6:7 respectively and the percentage of children among males and the percentage of children among females are ...
A street of width 25 metres surrounds from outside a rectangular garden whose measurement is 190 m × 220 m. The area of the path (in square metres...
Four circles of equal radii are described about the four corners of a square so that each touches two of the other circles. If each side of the square i...
If the length of the rectangular pipe is 2 times of its breadth and 5 times of its height. Find the total surface area if its volume is 600 cm³?
A cone has a height of 28 cm. A sphere is melted to form this cone. If the radius of the sphere is 7 cm, find the radius of the base of the cone.
Perimeter of square is 48 cm and length of a rectangle is equal to side of square and breadth of rectangle is 4 cm less than length of the rectangle. F...
The sum of the area of rectangle A and B is 2964 cm 2 . The ratio between the breadth of rectangle A and length of rectangle B is 2:3 respect...
A man distributes 10%, 18% and 22% of his salary into his three children who spend 40%, 60% and 25% of that amount respectively. The difference between ...
