Below are some data from country A:

$\backslash$table$[[$Year$,\backslash$table$[[$Priceper$],[$good X $($Rs$.)]],\backslash$table$[[$Quantity$],[$of good X$]],\backslash$table$[[$Price per$],[$good $Y($Rs$.)]],\backslash$table$[[$Quantity$],[$of good Y Y$]]],[2005,10,200,8,75],[2006,14,200,10,75],[2007,14,350,10,125]]$

$($a$)$ Compute nominal GDP$,$ real GDP and GDPdeflator. using $2005$ as the base year.

$($b$)$ Compute the peroentage change in nominal GDP$.$ real GDPand GDP deflator in $2006$ and $2007$ from the preceding year. For each year. which variable does not change? why?

$1\frac{1}{2}+1\frac{1}{2}+1$