Tip top electronics supplied an AC of \[1.2\] ton to a company. The cost of an AC supplied is Rs. \[51200\] (with GST). The rate of CGST on an AC is \[14\% \] . Find the following amount as shown in tax invoice Tip top electronics
1. Taxable value of AC
2. Total amount of GST
3. Amount of SGST
Answer
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Hint: According to the given question, firstly assume the cost of an A.C to be x and after paying GST by adding CGST and SGST, calculate the price after paying GST. As, we are given the cost of ac supplied with just equate the equation and calculate the value of x. Then calculate the total amount of GST and SGST which is \[\dfrac{{GST}}{2}\] .
Complete step-by-step solution:
As is given that the amount of AC is \[1.2\] ton. The cost of AC supplied is Rs. \[51200\] (with GST). The rate of GST on AC is \[14\% \] given.
Assume the cost price of AC is Rs. \[x\] . Now, the rate of GST is \[14\% \] . So, find out GST on AC.
According to knowledge GST=CGST \[ + \] SGST (and CGST=SGST)
\[\therefore 28\% \]
\[\therefore \] After paying GST, price of the AC will be
\[ \Rightarrow x + x + \dfrac{{28}}{{100}}\]
On taking L.C.M we get,
\[ \Rightarrow \dfrac{{100x + 28x}}{{100}}\]
After solving we get,
\[ \Rightarrow \dfrac{{128x}}{{100}}\]
And the cost of an AC supplied is Rs. \[51200\] (with GST)
\[\therefore \dfrac{{128x}}{{100}} = 51200\]
\[ \Rightarrow x = \dfrac{{51200 \times 100}}{{128}}\]
On simplifying we get the value of x that is:
\[\therefore x = 40000\]
Hence, taxable value of AC = Rs. \[40000\]
Now, the total amount of GST = AC cost with GST- AC cost without GST
= Rs \[(51200 - 40000)\]
After subtracting we get,
= Rs. \[11200\]
Therefore, total amount of GST= \[11200\] .
Now, amount of SGST= \[\dfrac{{GST}}{2} = \dfrac{{11200}}{2} = \] Rs \[5600\]
SGST is equal to 5600rs.
Note: To solve these types of questions, we must have the basic knowledge of GST, CGST and SGST and their formulas to calculate must be known. While finding the total amount of GST we must remember that the cost of an article without GST must be subtracted from the cost of an article with GST. So, we must know with both GST and without GST cost.
Complete step-by-step solution:
As is given that the amount of AC is \[1.2\] ton. The cost of AC supplied is Rs. \[51200\] (with GST). The rate of GST on AC is \[14\% \] given.
Assume the cost price of AC is Rs. \[x\] . Now, the rate of GST is \[14\% \] . So, find out GST on AC.
According to knowledge GST=CGST \[ + \] SGST (and CGST=SGST)
\[\therefore 28\% \]
\[\therefore \] After paying GST, price of the AC will be
\[ \Rightarrow x + x + \dfrac{{28}}{{100}}\]
On taking L.C.M we get,
\[ \Rightarrow \dfrac{{100x + 28x}}{{100}}\]
After solving we get,
\[ \Rightarrow \dfrac{{128x}}{{100}}\]
And the cost of an AC supplied is Rs. \[51200\] (with GST)
\[\therefore \dfrac{{128x}}{{100}} = 51200\]
\[ \Rightarrow x = \dfrac{{51200 \times 100}}{{128}}\]
On simplifying we get the value of x that is:
\[\therefore x = 40000\]
Hence, taxable value of AC = Rs. \[40000\]
Now, the total amount of GST = AC cost with GST- AC cost without GST
= Rs \[(51200 - 40000)\]
After subtracting we get,
= Rs. \[11200\]
Therefore, total amount of GST= \[11200\] .
Now, amount of SGST= \[\dfrac{{GST}}{2} = \dfrac{{11200}}{2} = \] Rs \[5600\]
SGST is equal to 5600rs.
Note: To solve these types of questions, we must have the basic knowledge of GST, CGST and SGST and their formulas to calculate must be known. While finding the total amount of GST we must remember that the cost of an article without GST must be subtracted from the cost of an article with GST. So, we must know with both GST and without GST cost.
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