The price of a TV set inclusive of sales tax of 9\% is ₹ 13407. Find its marked price. (R.R.B., 2008)
Answer
Answer (as printed):
Explanation
Let the M.P. of T.V. set be ₹ $x$. Then, $x+9\%$ of $x=13407 \Rightarrow x+\frac{9x}{100}=13407 \Rightarrow \frac{109x}{100}=13407 \Rightarrow x=\left(\frac{13407\times 100}{109}\right)=12300$. Hence, marked price $=₹12300$.
Explanation as extracted from the printed page; notation may be imperfect.