Question

The price of a T.V set inclusive of sales tax is ₹ 13,530. If the rate of sales tax is $10\%$, find its basic (marked) price.

• A. Rs. 11320
• B. Rs. 11230
• C. Rs. 12300
• D. Rs. 13200

Answer 1

The correct option is C

Rs. 12300

Let the basic price of the T.V set be ₹ $x$ , Then,

Sales tax at a rate of 10% on ₹ $x$ = ₹ $(\left(\frac{10}{100}\right)\times x)=₹\left(\frac{x}{10}\right)$.

Thus, the sale price of the T.V set = ₹ $(x+\left(\frac{x}{10}\right))=₹\frac{11x}{10}$

Given that ; sale price of the T.V set is ₹13,530

Therefore, $(\frac{11x}{10}=13530)$

So, $x$ = 12300

Hence, the basic price of the T.V set is ₹ 12300.