The total cost of three prizes is $Rs. 2550$. If the values of second prize is $\large\frac{3}{4}$ of the first and the value of $3rd$ prize is $\large\frac{1}{2}$ of the second prize, then the value of first prize is :

Question

$\begin{array}{1 1} Rs.900 \\ Rs.1500 \\ Rs.1200 \\ Rs. 450 \end{array}$