Write the formula for finding actual discount when marked price and rate of discount are given.

Divide Rs 21,000 into two parts such that the annual compound amount of the first part for 3 years is equal to the compound amount of the second part for 2 years at a 10 % rate in both. 0

Simplify the given algebraic expression. 0

Factorize the expression 2x^4 + 625 1

Construct an isosceles triangle ABC having base BC=6 cm and the altitude AD=4 cm. Also, construct a parallelogram CDEF equal in area to △ABC and having one angle CDE=45°. 0

If the length of the side of the base(BC) is 16 cm and the length of the lateral edge(PD) is 2√41 cm, find the volume of the pyramid. 1

If volume of cylinder with diameter of its base 14 cm is 2156 cm^3, find the height? 1

The total surface area of cone whose base is 5 m is 282 6/7 m^2. Find the slant height of the cone. 0

In the given figure, AB= 10 cm, AA' =20 cm, AC= 8 cm and the area of rectangular surfaces of the prism is 480 square cm, find the length of BC. 1

The present price of a motorcycle is Rs 225000. If its price is depreciated per year by 8%, after how many years the price of the motorcycle will be Rs 175204.8? Find it. 1

In the given figure, AD//BC. If the areas of the triangle ABE and Triangle ACF are equal, then prove that EF//AC. 1