Question
In a 160 litres mixture of milk and water, the ratio of
the milk to water is 4:1. If 28 litres mixture is taken out and replaced by same quantity of water, then find the percentage of water in the resultant mixtureSolution
Initial quantity of milk in the mixture = 160 × 4/5 = 128 litres Initial quantity of water in the mixture = 160 × 1/5 = 32 litres 28 litres mixture contains 22.4 litres milk and 5.6 litres water. So the quantity of water in the resultant mixture = 32 – 5.6 + 28 = 54.4 litres Percentage of water in the resultant mixture = 54.4/160 × 100 = 34%
The perimeter of a rectangular field is 480 meters and the ratio between the length and breadth is 5:3. The area of the field is:
When the radius of a circle is increased by 1 cm, its area increases by 22 cm². What was the original radius of the circle?
The capacity of a cylindrical tank is 2376 m³. If the radius of the tank is 21 m, then the depth of the tank is:
The boundary length (perimeter) of a semicircle is 72 m. Find the area of a full circle whose radius is thrice the radius of that semicircle.
A circular field, which covers an area of 1386 square meters, is planned to be enclosed by a compound wall that rises to a height of 3 meters. The wall ...
The perimeter of a sector of a circle, whose radius is 17 cm, is 63 cm. If the length of a rectangle is 10 cm more than the arc subtended by the sector ...
A conical tent of height 5m and base diameter 24m was erected by a company in a park. Find the curved surface area of the tent (in m²).
A rectangular piece of land has a perimeter of 66 metres and length of 21 metres. If the area of the land is to be divided into 9 equal portions, then w...
Calculate the perimeter of a rectangle, given that a circle with an area of 308 cm² has a radius that matches the diagonal of a square. The ratio betwe...
A square is converted into a rectangle by increasing its length by 30 % and decreasing its width by 10%. Which of the following statements is true?
