Question

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

Answer 1

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

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' = (C'')/(1 + (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' = (15,255\,INR)/(1+(13)/(100) )`

`C' = 13,500\,INR`

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

`C = (C')/(1-(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 = (13,500\,INR)/(1-(10)/(100) )`

`C = 15,000\,INR`

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