Question
βxβ litres of mixture βAβ contains juice and
water in the ratio of 3:2, respectively and (x + 20) litres of mixture βBβ contains juice and water in the ratio of 2:3, respectively. If both mixtures are mixed in an empty container βPβ then ratio of juice and water in container βPβ becomes 24:25, respectively then find the value of βxβ.Solution
According to the question, [(3x/5) + (x + 20) * 2/5] / [(2x/5) + (x + 20) * 3/5] = 24/25 Or, (3x + 2x + 40) / (2x + 3x + 60) = 24/25 Or, (5x + 40) / (5x + 60) = 24/25 Or, 125x + 1000 = 120x + 1440 Or, 5x = 440 Or, x = 88
The perimeter of a rectangle is 100% more than perimeter of a square of side 20 cm. If the length of rectangle is 200% more than side of square then fin...
If the length of a rectangle becomes double and its breadth becomes three-fourth, then find the percentage increase in its area.
Find total surface area of a cylinder of radius 7 cm and height 10 cm. (Ο = 22/7)
The area of a rhombus is given as 384 cmΒ², and its perimeter measures 80 cm. Determine the total length of its two diagonals.
- 'A conference hall is floored with tiles measuring 1.2 meters by 80 cm. The hall has a length of 10.8 meters and a width of 4 meters. How many tiles are re...
The ratio of the radii of the bases of a cylinder and a cone is 2:3, while the ratio of their heights is 3:5. What is the ratio of the volume of the cyl...
If the two adjacent sides of a rectangle are x cm and x – 10 cm and its perimeter is 96 cm then find its area?
The length and breadth of a rectangle are increased by 30% and 40% respectively. The increase in the area of the resulting rectangle will be:
The perimeter of a floor a room is 36m. What is the area of four walls of the room, if its height is 6m?
A rectangular field is 45 m long and 30 m wide. A fence is to be put all around it. Find the area of the field and the length of the fence needed.
Relevant for Exams:
