Question

The price of an article is Rs. 8250 which includes Sales Tax at $10\%$. Find how much more or less does a customer pay for the article, if the sales tax on the article is 15 %.

• A. increases to $15\%$
• B. decreases to $6\%$
• C. increases by $2\%$
• D. decreases by $3\%$

Answer 1

The correct option is C increases by $2\%$

Let the price of article is Rs x
According to question:
$x+x\times \frac{10}{100}=8250$
$\Rightarrow x+\frac{x}{10}=8250$
$\Rightarrow 10x+x=82500$
$\Rightarrow 11x=82500$
$\Rightarrow x=Rs7500$
Thus, the price of article = Rs 7500
(1) If sale tax on article is $15\%$
Then, Sale tax
$=Rs(7500\times \frac{15}{100})=Rs1125$
$\therefore$ Customer has to pay Rs (7500 + 1125) i.e., Rs (8625) for the article.
Hence, the more amount customer has to pay is Rs (8625-8250) i.e., Rs 375
(2) If sale tax on article is $6\%$
Then, customer has to pay $Rs(7500\times \frac{6\times 7500}{100})$
i.e., Rs 7950
$\therefore$ The less amount customer has to pay is Rs (8250 - 7950) i.e., Rs (300).