Given,
Rate = 12 %
Time = 9 months = $\dfrac{3}{4}$ years
Let amount be Rs.x. Then,
Consider,
True discount =$\dfrac{x \times R \times T}{100 + (R \times T)}$
⇒ 540 = $\dfrac{x∗12∗\dfrac{3}{4}}{100+(12∗\dfrac{3}{4})}$
⇒540 = $\dfrac{9x}{100+9}$
⇒ 540 = $\dfrac{9x}{109}$
⇒ 9x = 540 x 109
⇒ x = $\dfrac{540 \times 109}{9}$
x= Rs.6540
Amount = Rs. 6540.
P.W. = Rs. (6540 – 540) =Rs. 6000.