# Mr. Arora buys a colour T.V. for Rs 17,200 including sales tax is 12.5 %, then actual sale of the T.V. is?

Answer

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Hint: Here we may first find the sales tax from the given percentage value. Then we will subtract the value of sales tax from the total price of the T.V. to get the actual price of the T.V.

Complete step-by-step answer:

Since, we know that the sales tax is the tax that the seller takes from the consumer at the time of purchase.

Here, it is given that the selling price of the T.V. is Rs 17,200 and sales tax on the TV is given as 12.5 % of the selling price.

Or, we can say that sales tax on the TV is 12.5 % of Rs 17,200.

So, sales tax = $\dfrac{12.5}{100}\times 17,200$

Or, sales tax = $12.5\times 172$

sales tax = Rs 2,150

Now since, we know that this sales tax is added on the actual price of the TV and that total amount is known as the selling price.

So, in order to find the actual price of the T.V. we may proceed as follows:

Let us consider the actual price of the T.V is = Rs x

Since, total selling price = Actual price + sales tax ………..(1)

Now we may substitute the values of total selling price and sales tax in equation (1), so we get:

$17,200=x+2150$

Or, $x=17200-2150$

So, x = 15,050

Therefore, the actual price of the T.V. is Rs 15,050.

Note: Students should note here that sales tax is added by the seller on the price of a product and hence the value of sales tax always has to be subtracted from the total selling price.

Complete step-by-step answer:

Since, we know that the sales tax is the tax that the seller takes from the consumer at the time of purchase.

Here, it is given that the selling price of the T.V. is Rs 17,200 and sales tax on the TV is given as 12.5 % of the selling price.

Or, we can say that sales tax on the TV is 12.5 % of Rs 17,200.

So, sales tax = $\dfrac{12.5}{100}\times 17,200$

Or, sales tax = $12.5\times 172$

sales tax = Rs 2,150

Now since, we know that this sales tax is added on the actual price of the TV and that total amount is known as the selling price.

So, in order to find the actual price of the T.V. we may proceed as follows:

Let us consider the actual price of the T.V is = Rs x

Since, total selling price = Actual price + sales tax ………..(1)

Now we may substitute the values of total selling price and sales tax in equation (1), so we get:

$17,200=x+2150$

Or, $x=17200-2150$

So, x = 15,050

Therefore, the actual price of the T.V. is Rs 15,050.

Note: Students should note here that sales tax is added by the seller on the price of a product and hence the value of sales tax always has to be subtracted from the total selling price.

Last updated date: 30th Sep 2023

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