Question

12 Tarun bought a TV set. He paid 6% tax in addition to the price of the TV set. Find the price of the TV set, if he
pays ? 6,943 in all? ​

Answer 1

✬ Price = Rs 6550 ✬

Step-by-step explanation:

Given:

• Tarun paid 6% tax in addition to the price of TV.
• He paid Rs 6943 .

To Find:

• What is the price of TV?

Solution: Let the price of TV be Rs x.

➟ He paid 6% as tax in addition to x

➟ x + 6 % of x

A/q

• Total amount paid = Rs 6943

$\implies{\rm }$ x + 6% of x = 6943

$\implies{\rm }$ x + 6/100(x) = 6943

$\implies{\rm }$ x + 6x/100 = 6943

$\implies{\rm }$ 100x + 6x/100 = 6943

$\implies{\rm }$ 106x/100 = 6943

$\implies{\rm }$ 106x = 6943 $\times$ 100

$\implies{\rm }$ x = 694300/106

$\implies{\rm }$ x = 6550

Hence, the price of TV was Rs 6550.

Answer 2

Step-by-step explanation:

${\red{\underline{\underline{\bold{Given:-}}}}}$

• Tarun bought a TV set.

• He paid 6% tax in addition to the price of the TV set.

• The total amount paid by him is Rs.6943

${\blue{\underline{\underline{\bold{To\:Find:-}}}}}$

• The price of the TV set.

${\green{\underline{\underline{\bold{Solution:-}}}}}$

$\rm Let \: the \: price \: of \: the \: TV \: set \: be \: Rs.x$

$\rm Total \:amount \:paid\: = Rs. 6943$

As he paid the total amount including 6% tax

Therefore:-

$\rm x + 6\% \: of \: x \: = 6943$

$\implies\rm x + \dfrac{6}{100} x = 6943$

$\implies\rm \dfrac{100x + 6x}{100} = 6943$

$\implies\rm \dfrac{106x}{100} = 6943$

$\implies\rm {106x} = 6943 \times 100$

$\implies\rm {x} = \dfrac{ 6943 \times 100}{106}$

$\implies\rm {x} = \dfrac{ 694300}{106}$

$\implies\rm {x} = 6550$

Hence;

$\boxed{\bf \purple{ \therefore The \: price \: of \: the \: TV\: set \: = Rs.6550}}$