Question
P and Q can complete a work in 24 days and 36 days,
respectively. P, Q and R together can complete the work in 12 days. If R get a total wage of Rs. 6120 to complete the work alone, then find the per day wage of R.Solution
Let the total work be LCM of (24, 36 and 12) = 72 units Number of units of work done by P alone in one day = 72/24 = 3 units Number of units of work done by Q alone in one day = 72/36 = 2 units Number of units of work done by P, Q and R together in one day = 72/12 = 6 units Number of units of work done by R alone in one day = 6 – 3 – 2 = 1 unit So, time taken by R alone to complete the work = 72/1 = 72 days So, per day wage of R = 6120/72 = Rs. 85
The lateral surface area of a regular tetrahedron is 75√3 cm². Determine the volume of the tetrahedron.
Find the area of sector of a circle whose radius is 21 cm and angle subtended by the sector at centre of circle is 45 ° .
The perimeter of a rectangle is 64 cm. The side of a square is equal to the average of the rectangle’s length and breadth. Find the area of the square...
- If the edge of the cube is increased by 30%, then find the percentage increase in the volume of the cube.
If the length of a rectangle is increased by 25% and its breadth is decreased by 15%, then the area of the rectangle will be increased or decreased by h...
The radii of two solid right circular cylinders are 11 cm and 9 cm respectively and their heights are (h+1) cm and (2h+1) cm respectively. If the areas ...
The volume of a cone is 128π cubic centimeters. If the radius of the base is 4 cm, find the height of the cone.
A cone has a radius of 5 cm and a slant height of 13 cm. Find the total surface area of the cone.[Take π = 3.14 ]
If x4 – 62x2 + 1 = 0, then a value of x 3 + x -3 can be:
The base of a triangle is 18 cm and height is 15 cm. The height of another triangle of double the area having the base 27 cm is: