Quantitative Aptitude :: True Discount - Discussion

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Explanation:
Let the amount of the bill be Rs. a

Then,

\(\left[\frac{a * r * t}{ 100 + ( r * t )}\right]\) = T.D

or, \(\left[\frac{a * 12 * \frac{3}{4} } {100 + ( 12 * \frac{3}{4})}\right]\) = 540

or, a = 540*\(\frac{109}{9}\)

or, a = Rs. 6540

Therefore, Amount = Rs. 6540

Hence, Present worth, P.W = Rs. ( 6540 - 540 )

= Rs. 6000