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Mathematics

A manufacturer buys raw material worth ₹7500 paying GST at the rate of 5%. He sells the finished product to a dealer at 40% profit. If the purchase and the sale both are intra-state and the rate of GST for the finished product is 12%, find:

(i) the input tax (under GST) paid by the manufacturer.

(ii) the output tax (under GST) collected by the manufacturer.

(iii) the tax (under GST) paid by the manufacturer to the Central and State Governments.

(iv) the amount paid by the dealer for the finished product.

GST

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Answer

Value of raw material = ₹7500
Rate of GST on raw material = 5%
Profit on finished product = 40%
Rate of GST on finished product = 12%

(i) The input tax (under GST) paid by the manufacturer:

As the purchase is intra-state and the rate of GST is 5%, so GST comprises of CGST at 2.5% and SGST at 2.5%.

Input CGST paid by the manufacturer

=2.5% of ₹7500=(2.5100×7500)=187.50= 2.5\% \text{ of } ₹7500 \\[1em] = ₹\Big(\dfrac{2.5}{100} \times 7500\Big) \\[1em] = \bold{₹187.50}

Input SGST paid by the manufacturer

=2.5% of ₹7500=(2.5100×7500)=187.50= 2.5\% \text{ of } ₹7500 \\[1em] = ₹\Big(\dfrac{2.5}{100} \times 7500\Big) \\[1em] = \bold{₹187.50}

(ii) The output tax (under GST) collected by the manufacturer:

Selling price of the product (excluding tax) = Purchase Price + Profit

=7500+(40100×7500)=7500+3000=10500= 7500 + \Big(\dfrac{40}{100} \times 7500\Big) \\[0.5em] = 7500 + 3000 \\[0.5em] = \bold{₹10500}

As the sale is intra-state and the rate of GST is 12%, so GST comprises of CGST at 6% and SGST at 6%.

Output CGST collected by the manufacturer

=6% of ₹10500=(6100×10500)=630= 6\% \text{ of } ₹10500 \\[1em] = ₹\Big(\dfrac{6}{100} \times 10500\Big) \\[1em] = \bold{₹630}

Output SGST collected by the manufacturer

=6% of ₹10500=(6100×10500)=630= 6\% \text{ of } ₹10500 \\[1em] = ₹\Big(\dfrac{6}{100} \times 10500\Big) \\[1em] = \bold{₹630}

(iii) The tax (under GST) paid by the manufacturer to the Central and State Governments:

Net CGST paid by the manufacturer = Output CGST - Input CGST
= ₹(630 - 187.5)
= ₹442.5

Net SGST paid by the manufacturer = Output SGST - Input SGST
= ₹(630 - 187.5)
= ₹442.5

∴ Amount of tax paid by the manufacturer to the Central and State Governments:

CGST = ₹442.5 to the Central government and

SGST = ₹442.5 to the State government

(iv) The amount paid by the dealer for the finished product
= Selling price of the finished product + GST paid by the dealer
= ₹10500 + CGST collected by the manufacturer + SGST collected by the manufacturer
= ₹10500 + ₹630 + ₹630
= ₹11760

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