Question
A, B and C invested in partnership. A invest Rs.8000 for
5 months, B invests Rs.5000 for 3 months and C invests Rs.10000 for 2 months. C is working partner so he will get 5% extra of total profit. Find profit share of C if total profit at the end of the year is Rs.7500.Solution
Ratio of profit share of A, B and C = 8000 x 5 + 5000 x 3 + 10000 x 2 = 8:3:4 Profit share of C out of total profit = [7500 x (5/100)] + [7500 x (95/100) x (4/15)] = Rs.2275
A cube of volume 768 cm³ is molded into a cuboid whose length, width, and height are in the ratio 3: 2: 2. Find the length of the cuboid.
If ∆ ABC~∆ FDE such that AB = 9 cm, AC = 11 cm, DF = 16 cm and DE = 12 cm, then the length of BC is:
A circular park is having the circumference of 110m. A uniform path of width 3.5m has been made around the park. Find the area of this path?
The volume of cone is 1603.8 cm3. If its height is 2.1 cm then find the radius of the cone.
The length and breadth of a rectangular field are increased by 25% and 45%, respectively. If the original dimensions of the field are 60 m in length and...
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...
- A storehouse measures 36 metres long, 15 metres wide and 12 metres high. If each storage box requires 90 m³ of space, how many storage boxes can fit insid...
Two circles, each of radius 7 cm, intersect each other. The distance between their centers is 7√2 cm. Find the area common to both circles.
Two paths of width 6 metres are to be made in the centre of rectangular field such that they are perpendicular to each other. Find the area (in m2<...
A cylindrical tank of 28 cm base radius is partly filled with water. How many spherical iron balls of 1cm radius are added in it in order to increase th...