What happens to aggregate C, K, and Y when TFP increases permanently? I was wondering what would happen to aggregate capital, consumption and output (i.e. K, C, Y) in the Solow model with constant population growth (i.e. n > 0) and no technological growth (i.e. a = 0) if TFP suddenly increases permanently at time $t_{0}$ (i.e. $A_{0}$ --> $A_{1}$).  I am assuming that all three K, C, and Y will increase and converge to the new steady state level. But I wanted to know how it would adjust(i.e. would it be an instant increase or gradual increase from previous to new steady state level).
Take a look at the dynamics of the capital: 
$k_{t+1}=sA_ty_t+(1-\delta-n)k_t$. A sudden positive shock to TFP in period $t$ increases the capital stock of the next period $k_{t+1}$. So, there is no contemporaneous effect on $k$, convergence to the new steady state will be gradual. 

The other variables have contemporaneous relationship with TFP.

EDIT: A google search for a good explanation lead me to lecture notes from MIT which you can find here. Start reading slide # 62+. You will see the graphical explanation as well.