Question

The cost of furniture inclusive of vat is rs 7150. if the rate of vat is 10% ,find the original cost of the furniture??​

Answer 1

Answer -

• The original cost of the furniture is Rs 6500.

To find -

• The original cost of the furniture.

Step-by-step explanation -

Let the original cost of the furniture be Rs "x".

Given that -

• The cost of furniture inclusive of VAT is Rs 7150.

• The rate of VAT is 10%.

Then -

• "x" + 10% of "x" will be equal to Rs 7150.

Therefore,

$\longmapsto \: \sf 7150 = x + 10\% \: of \: x$

$\sf \longmapsto \: 7150 = x + \dfrac{10}{100} \times x$

$\longmapsto \sf \: 7150 = x + \dfrac{10x}{100}$

$\longmapsto \sf \: 7150 = \dfrac{(x \times 100) + (10x \times1) }{100}$

$\longmapsto \sf \: 7150 = \dfrac{100x + 10x}{100}$

$\longmapsto \sf \: 7150 = \dfrac{110x}{100}$

$\longmapsto \sf \: 7150 \times 100 = 110x$

$\longmapsto \: \sf715000 = 110x$

$\longmapsto \: \sf \cancel{\dfrac{715000}{110}} = x$

$\longmapsto \sf \: Rs \: 6500 = x$

Hence -

• The original cost of the furniture is Rs 6500.

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Answer 2

$\huge\sf{Solution :- } \:$

$\sf{Cost \: of \: furniture \: inclusive \: VAT = Rs. 7150} \:$

$\sf{Let \: the \: original \: cost \: of \: the \: furniture \: be \: Rs. x}$

$\sf{Cost \: of \: furniture = 10 \: percent \: of \: x + x}$

$\sf{⟹7150 = 1.10x} \:$

$\sf{ ⟹x = \frac{7150}{1.10} }$

$\sf{⟹ Rs. 6500} \:$

❥︎Hence the original cost of furniture is 6500.