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Q.

Sudha brought a TV for Rs.13500. If 8% VAT is included in the price, the original price of TV is Rs.[[1]].

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Detailed Solution

Concept- Let 'x' be the TV's initial purchase price.
The cost of Sudha's TV, which is subject to an 8% VAT, is Rs. 13500.
8% is the value added tax on the TV.
Assume that the TV's original purchase price is SP=x.
Now that we are aware of the equation SP+VAT% ×SP=CP
We can therefore write x+8%× x=13500 simply changing the values in the formula.
By resolving this equation further, we obtain

x + \frac{8}{100} \times x = 13500

\Rightarrow x + 0.08 x = 13500

\Rightarrow 1.08 x = 13500

\Rightarrow x = \frac{13500 \times 100}{108}

\Rightarrow x = 12500;

As a result, we arrive at the TV's original price of Rs. 12500.
Hence,the right response is

" 12500 Rs .

"

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