Question

the total amount payable for a commodity is 9600 in a state with cgst and sgst both equal to 10 % find the total amount payable for the same commodity in a duiferent state with an sgst of 5 %​

Answer 1

$\large{\underline{\rm{\purple{\bf{Given:-}}}}}$

The total amount payable for a commodity is 9600 in a state with CGST and SGST both equal = 10%

$\large{\underline{\rm{\purple{\bf{To \: Find:-}}}}}$

The total amount payable for the same commodity in a different state with an SGST of 5%

$\large{\underline{\rm{\purple{\bf{Solution:-}}}}}$

Let us consider the price of commodity before GST as 'p'

According to the question,

$\implies \sf 10 \% \: CGST = \dfrac{10}{100}\: P = 0.1P$

$\implies \sf 10 \% \: SGST = \dfrac{10}{100} P =0.1P$

Price including GST = $\sf P + 0.1P + 0.1P = 1.2P$

$\implies \sf 1.2P = 9600$

Therefore, 'p' would be,

$\implies \sf P = 8000$

Given that, in other state SGST = 5%

Therefore,

$\longrightarrow \sf SGST = \dfrac{5}{100}\: 8000 = \underline{\underline{400}}$

$\longrightarrow \sf CGST = \dfrac{5}{100} \: 8000 = \underline{\underline{400}}$

Amount including GST = 8000 + 400 + 400

Amount including GST = 8800

Hence, amount payable for the same commodity in a different state is Rs. 8800