Find the coordinates of the point which divides the line segment joining (3,5) (7,9) in the ratio 2: 3.

The sum of two positive numbers is 20% of the sum of their squares and 25% of the difference of their squares. If the numbers are x and y then, is equal to

One side of the rectangular ground is 8m and its diagonal is 17m. Find the area of the ground?

Directions: Study the information given below and answer the questions that follow.
An article was bought for Rs. 5600. Its price was marked up by 12%. Thereafter it was sold at a discount of 5% on the marked price.

What was amount of discount given?

If the product of two numbers is 4941 and their LCM is 81, then their HCF is:

The height of a square base right prism is 15 cm. If the total surface area of the prism is 608 cm² , then what will be the volume of prism?

A, B and C enter into a partner ship with capitals in the ratio 5 : 6 :8. At the end of business term, they received the profits in the ratio 5 : 3 :12. Find the ratio of time for which they contributed their capitals?

A, B and C enter into a partnership by investing their capitals in the ratio of $$ {2\over 5} : {3\over 4} : {5\over 8}$$. After 4 months, A increased his capital by 50%, but B decreased his capital by 20%. What is the share of B in the total profit of Rs. 2, 82, 100 at the end of a year.