Question

The cost of a tape-recorder is $₹10,800$ inclusive of sales tax charged at $8\%$. The price of the tape-recorder before sales tax was charged is _____.

Answer 1

The cost of a tape recorder is $₹10,800$ inclusive of the sales tax charged at $8\%$. The price of the tape-recorder before the sales tax was charged is $₹10,000$

Given:

Cost of tape recorder $=₹10800$

Say, the cost before including the tax$=x$

As per the question,

$$\begin{gathered} x+x\times \left(\frac{8}{100}\right)=10800 \\ \frac{100x+8x}{100}=10800 \\ 108x=10800\times 100 \\ 108x=1080000 \\ x=\frac{1080000}{108} \\ x=10,000 \end{gathered}$$

Therefore, the price of the tape recorder before sales tax is charged is $₹10000$