Question

The price of an article inclusive of $12\%$ Sales Tax is Rs. $2,016$. Find its marked price. If the Sales Tax is reduced to $7\%$, how much less does the customer pay for the article ?

• A. Rs. $52$ more
  
• B. Rs. $66$ more
  
• C. Rs. $80$ less
• D. None of these
  

Answer 1

The correct option is D None of these

Let marked price be Rs. $x$.
$\therefore x+12$% of $x=2,016$

$\Rightarrow x+\frac{12}{100}x=2016$

$\Rightarrow \frac{112x}{100}=2016$

$\Rightarrow x=\frac{2016\times 100}{112}$

$\Rightarrow x=18\times 00$
$\Rightarrow x=1,800$
$\therefore$ Marked price of the article $=Rs.1,800$
Since, new Sales Tax $=7\%$
$\therefore$ Now, the customer will pay
$=Rs.1,800+7$ of $1800$
$=\frac{107}{100}\times$ $Rs.1,800=Rs.1,926$
$\therefore$ Customer will pay for the article $=Rs.(2,016-1,926)less=Rs.90less$