Question
The average wage of a group of 49 labourers is Rs. 650.
If 4 persons receiving average wage of Rs. 500 leave the group and 2 persons receiving average wage of Rs. K join the group, then the average wage of the group increases by Rs. 46. Find the value of ‘K’.Solution
Total wage of 49 labourers in the initial group = 49 × 650 = Rs. 31850 New average wage of the group = 650 + 46 = Rs. 696 New number of labourers in the group = 49 – 4 + 2 = 47 So, according to the question, 31850 – 4 × 500 + 2K = 696 × 47 Or, 31850 – 2000 + 2K = 32712 Or, 29850 + 2K = 32712 Or, 2K = 32712 – 29850 = 2862 Or, K = (2862/2) = 1431
A cuboidal water tank has dimensions (20 × 14 × 12) cm and is open from the top. If painting the outer surface costs Rs. 5 per cm², find the total pa...
On a rectangular wall of length 35 metres and height 30 metres, there is a window in the shape of triangle surmounted on a square. If the base of triang...
John has finished planting 1/4 th of the area of rectangular garden which is 12ft wide. When he finishes planting another 90 sq. ft of the ga...
If two is added to the denominator of a rational number it becomes 1 and if 4 is added to the numerator it becomes ½. Then the sum of the numerat...
The area of the rectangular field is 800 m² and its perimeter is 104 m. Find how much percent less the breadth of the field is compared to the length o...
Length and breadth of a rectangle are in the ratio 7:9. If the perimeter of the rectangle is 46 cm more than the breadth of the rectangle, then find th...
The angle of elevation of a pole from a point, which is 20 m away from the foot of the pole is 45°. Find the height of the pole.
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 ]
A rectangular piece of copper foil of length 28 cm and area 1232 cm2 is folded along its width to form a cylinder such that there is only one...
If the volume of a cylinder is 144π and the ratio of radius to its height is 3:2 then find the curved surface area of cylinder?
