Question

The true discount on a bill due $9$ months hence at $16$% per annum is $Rs.189$. The amount of the bill is:

• A. $Rs.1386$
• B. $Rs.1764$
• C. $Rs.1575$
• D. $Rs.2268$

Answer 1

The correct option is B $Rs.1764$

Let P.W. be $Rs.x$.
Then, S.I. on $Rs.x$ at $16$% for $9$ months $=Rs.189$.
$\therefore x\times 16\times \frac{9}{12}\times \frac{1}{100}=189$ or $x=1575$.
$\therefore P.W.=Rs.1575$.
$\therefore$ Sum due $=P.W.+T.D.=Rs.(1575+189)=Rs.1764$.