The true discount on a bill due 9 months hence at 12% per annum is Rs. Find the amount of the bill and its present worth.

Let amount be Rs. x. 

Then,  [X * R * T] / [100+(R * T)]  

$\Rightarrow \frac{x\times 12\times \frac{3}{4}}{100+12\times \frac{3}{4}} = 540$ 

x=  Rs.6540  

Amount = Rs. 6540.  

P.W. = Rs. (6540 – 540) =Rs. 6000.