Answer:
The marked price of the smart phone is Rs 15,000.
Step-by-step explanation:
We proceed to explain step by step how to determine the marked price of the smart phone:
1) Divide the resulting price by the VAR factor:
[tex]C' = \frac{C''}{1 + \frac{r}{100} }[/tex] (1)
Where:
[tex]C''[/tex] - Resulting price, measured in rupees.
[tex]C'[/tex] - Price of the product after discount, measured in rupees.
[tex]r[/tex] - VAT rate, measured in percentage.
If we know that [tex]C'' = 15,255\,INR[/tex] and [tex]r = 13[/tex], then the price of the product after discount is:
[tex]C' = \frac{15,255\,INR}{1+\frac{13}{100} }[/tex]
[tex]C' = 13,500\,INR[/tex]
2) Divide the price of the product after discount by the discount factor:
[tex]C = \frac{C'}{1-\frac{r'}{100} }[/tex] (2)
Where:
[tex]C[/tex] - Marked price of the product, measured in rupees.
[tex]r'[/tex] - Discount rate, measured in percentage.
If we know that [tex]C' = 13,500\,INR[/tex] and [tex]r' = 10[/tex], then the marked price of the product is:
[tex]C = \frac{13,500\,INR}{1-\frac{10}{100} }[/tex]
[tex]C = 15,000\,INR[/tex]
The marked price of the smart phone is Rs 15,000.
