Question

Sumita purchased a bicycle for Rs. 5,488 inclusive of GST. if the rate of GST is 12% on bicycle, find the list price of bicycle.

Answer 1

Step 1 : Given information

Cost price of bicycle inclusive GST $=\mathrm{Rs}.5,488$

Rate of GST $=12\%$

Step 2: Calculate list price of bicycle

Let the list price of bicycle be $\mathrm{Rs}.\mathrm{x}$

Then, according to the question,

$\begin{array}{rcl}x+(12\%\mathrm{of}x)& =& 5,488\\ & \Rightarrow & x+\left(\frac{12}{100}\times x\right)=5,488\\ & \Rightarrow & \frac{112}{100}x=5,488\\ & \Rightarrow & x=5,488\times \frac{100}{112}\\ & \Rightarrow & x=\mathrm{Rs}.4,900\end{array}$

Hence, the list price of the bicycle is Rs. 4,900.