Solve the following problems:

A man won a lottery of Tk.20,00,000. He gave 2/5 of the amount to his wife and 1/4 of the balance to his son. He donated 2/9 of the balance amount. How much money was donated?

Mathematics

If the length of the two sides of a trapezoid are 4cm and 7cm and height of the trapezoid is 7cm, calculate the area of the trapezoid.

Mathematics

40% of the students of a class failed in statistics and 35% of students failed in computer studies. If the class size is 200 and 70 students failed in neither of the subjects, then how many students failed in both the subjects?

Mathematics

The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12km/hour completes one round in 8 minutes, then what is the area of the park in square meters?

Mathematics

$if \frac{x^2-7x+12}{x^2+4}=3$, calculate the value of x.

Answer the following mathematical problems:

What is the minimum number of oranges that must be added to the existing stock of 264 oranges so that the total stock can be equally distributed among 6, 7 or 8 persons?