Solve the following problems:

A man engaged a worker on the condition that he would pay him Tk.30,000 and one uniform after one year of service. The worker served only 9 months and got Tk 22,000 and a uniform. What is the price of the uniform?

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?

Answer the following mathematical problems:

Bokul invested an amount of Tk. 15,000 in fixed deposit scheme for 3 years at interest rate 5% per annul. How much amount will she get on maturity of the fixed deposit if the interest is compounded quarterly?

Answer the following mathematical problems:

$If x^4+\frac{1}{x^4}=119, Prove that x^3-\frac{1}{x^3}=36$