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

Sagot :

xero099

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.

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