Mathematics · Mensuration

Evaluate and compare the following three quantities: Quantity I: The area of a square is 12 sq. cm more than the area of a rectangle whose perimeter is 20 cm. The length and breadth of the rectangle are in the ratio of 3 : 2 respectively. What is the sum of the area of the square, the square of the length of the rectangle, and the square of the breadth of the rectangle? Quantity II: Find the volume of a cone (in m3) whose radius is 9 m and whose height is 3 m more than its diameter. Quantity III: The marked price of two articles (A and B) is Rs. 5,000 and Rs. 6,000 respectively. The cost price of Article A and Article B is Rs. 4,800 and Rs. 5,400 respectively. Discounts allowed on the marked price of Article A and Article B are 15% and 10% respectively. What is the difference between the selling price of Article B and Article A?