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The "Total Amount Payable" for a commodity is Rupees 9600 in a state with CGST and SGST both equal to 10 % Find the "Total Amount Payable" for the same commodity in different state with SGST of 5 %
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Answers
EXPLANATION.
Total amount payable for a commodity is ₹ 9600.
CGST and SGST both equal to 10%.
The total amount payable for the same commodity in different state with SGST of 5%.
As we know that,
Let, we assume that commodity before GST = y.
⇒ CGST equal to = 10%.
⇒ CGST = (10/100) x y. = 0.1y.
⇒ SGST equal to = 10%.
⇒ SGST = (10/100) x y = 0.1y.
Total amount payable for a commodity is ₹ 9600.
⇒ y + 0.1y + 0.1y = 9600.
⇒ 1.2y = 9600.
⇒ 12/10 x y = 9600.
⇒ y = 800 x 10.
⇒ y = 8000.
For the same commodity in different state with SGST of 5%.
⇒ CGST equal to = 5%.
⇒ (5/100) x y.
⇒ (5/100) x 8000 = 400.
⇒ SGST equal to = 5%.
⇒ (5/100) x y.
⇒ (5/100) x 8000 = 400.
Total amount payable = 8000 + 400 + 400 = 8800.
Given :-
The "Total Amount Payable" for a commodity is Rupees 9600 in a state with CGST and SGST both equal to 10 %
To Find :-
The "Total Amount Payable" for the same commodity in different state with SGST of 5 %
Solution :-
Let the same commondity be x
10% of x = CGST
10/100 × x = CGST
10x/100 = CGST
x/10 = CGST
10% of x = SGST
10/100 × x = SGST
10x/100 = SGST
x/10 = SGST
Now
Total amount = CGST + SGST + same commondity
9600 = x/10 + x/10 + x
9600 = x + x + 10x/10
9600 = 12x/10
9600 × 10 = 12x
96000 = 12x
96000/12 = x
8000 = x
Now
5% of x = CGST
5/100 × 8000 = CGST
5 × 80 = CGST
400 = CGST
5% of x = SGST
5/100 × 8000 = SGST
5 × 80 = SGST
400 = SGST
Total amount = 8000 + 400 + 400 = 8800