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The price of a T.V. set inclusive of sales tax at the rate of $14%$ is $30,552$. Find the basic price of the T.V. set.
The price of a T.V. set inclusive of sales tax at the rate of $14%$ is $30,552$. Find the basic price of the T.V. set.
Class 10 | Frank | ICSE | Maths | Sales Tax And Value Added Tax
The price of a T.V. set inclusive of sales tax at the rate of $14%$ is $30,552$. Find the basic price of the T.V. set.

Given

The total cost of a T.V. set including sales tax is ₹$30,552$

The rate of sales tax$14%$

Calculation

Let, the basic price of T.V. set be$y$

So, total price of the T.V. set = ₹$\left[ y+\left( \left( y\times 14 \right)/100 \right) \right]$

= ₹$114y/100$

$114y/100=$₹$30,552$

$114y=30,552\times 100$

$114y=30,55,200$

$y=30,55,200/114$

$y=$$26,800$    $\therefore $the basic price of T.V. set is ₹$27,625$

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