Question

at a mobile shop, anita is offered two brands A and B of mobile phones. on brand A, she is offered a discount of 15% but sales tex will be charged at 15%. on brand B, selling price includes VAT at 15%. which brand will be cheaper to buy if the marked price of brand A is rs 14000 and the original price of brand B is rs 12000​

Answer 1

Marked price of brand A = Rs. 14,000

Price of brand A after a discount of 15% :-

$= \texttt{14000 - } \frac{\texttt{15}}{\texttt{100}} \texttt{ \: × \: 14000}$

$= \texttt{14000 - } \frac{\texttt{15×14000}}{\texttt{100} }$

$= \texttt{14000 \: - \: } \frac{\texttt{210000}}{\texttt{100} }$

$= \texttt{14000 - 2100}$

$=\texttt{\color{hotpink}Rs. 11900}$

Price of brand A after discount = Rs. 11,900

Cost of brand A after a sales tax of 15% :-

$= \texttt{11900 \: + \: } \frac{\texttt{15}}{\texttt{100}} \texttt{ \: × \: 11900}$

$=\texttt{ 11900 + } \frac{\texttt{15×11900}}{\texttt{100} }$

$= \texttt{11900 + } \frac{\texttt{178500}}{\texttt{100} }$

$=\texttt{ 11900 + 1785}$

$=\texttt{ \color{hotpink}Rs. \: 13685}$

So, the final price of brand A = Rs. 13,685

Original price of brand B = Rs. 12,000

Price of brand B after a VAT of 15% :-

$= \texttt{12000 + } \frac{\texttt{15}}{\texttt{100}} \texttt{ \: × \: 12000}$

$=\texttt{ 12000 + } \frac{\texttt{15×12000}}{\texttt{100} }$

$=\texttt{ 12000 + } \frac{\texttt{180000}}{\texttt{100} }$

$= \texttt{12000 + 1800}$

$= \texttt{\color{hotpink}Rs. \: 13800}$

So, the final price of brand B = Rs. 13,800

So, the selling price of brand A is cheaper than the selling price of brand B .

Therefore, Brand A will be cheaper to buy .