Question
The sum of two values, ‘m’ and ‘n’, is 400. When
‘m’ is decreased by 10% and ‘n’ is increased by 25%, both become equal. Find the value of ‘n’.Solution
ATQ,
m + n = 400 ……(i)
ATQ,
0.90 × m = 1.25 × n
Or, m = (1.25 / 0.90) × n
So, m = (25n / 18)
Put the value of ‘m’ in equation (i), we get,
(25n/18) + n = 400
Or, (43n/18) = 400
Or, n = 400 × (18/43)
So, n = 167.44
The area of a square field is 800 sq m. How long in seconds will a lady take to cross the field diagonally at the rate of 4.8 km/hr?
A wire is bent to form a square whose sides are of 33 cm. If the same wire is bent to form a circle, then find the area (in cm2) of the circl...
The length of a 924 metre long rope is 11 times the perimeter of a rectangular Spanish courtyard. Find the area of the rectangula...
- What is the surface area of a sphere if its volume is 4,851 cm³?
If x4 – 62x2 + 1 = 0, then a value of x 3 + x -3 can be:
The perimeter of a rhombus is 130 m. If one of its diagonals is 16 m, then the area of the rhombus is
If the length of a rectangle is increased by 10% and its breadth is decreased by 5%, then the area of the rectangle will be increased or decreased by ho...
- A square has its side length equal to the radius of a circle. If the circle's area is 962.5 m², find the perimeter of the square.
(190/3)% of the raindrops could have been collected, when 2 cm of rain has fallen on a part of land of area 3 km2, in a tank having a 200 m &...
Monthly income of A is Rs. 9600 and he saves 38% of his monthly income. If monthly expenditure of A is decreased by 35% while his monthly savings is inc...