Question

Enjal paid Rs 15,255 for smart phone with 10% discount and 13% vat. Find marked price of that smart phone.​

Answer 1

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:

$C' = \frac{C''}{1 + \frac{r}{100} }$ (1)

Where:

$C''$ - Resulting price, measured in rupees.

$C'$ - Price of the product after discount, measured in rupees.

$r$ - VAT rate, measured in percentage.

If we know that $C'' = 15,255\,INR$ and $r = 13$, then the price of the product after discount is:

$C' = \frac{15,255\,INR}{1+\frac{13}{100} }$

$C' = 13,500\,INR$

2) Divide the price of the product after discount by the discount factor:

$C = \frac{C'}{1-\frac{r'}{100} }$ (2)

Where:

$C$ - Marked price of the product, measured in rupees.

$r'$ - Discount rate, measured in percentage.

If we know that $C' = 13,500\,INR$ and $r' = 10$, then the marked price of the product is:

$C = \frac{13,500\,INR}{1-\frac{10}{100} }$

$C = 15,000\,INR$

The marked price of the smart phone is Rs 15,000.