Math, asked by Anonymous, 2 months ago

A dealer buys an article for Rs. 4000 and sells it to a customer at a profit of 30%. Find his input fax, output tax and net tax paid to the government if GST is charged at 5% and the sale is intra-state. What is the total amount paid by the customer ?

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Answers

Answered by ItzBrainlyQueen01
58

Step-by-step explanation:

Given :-

  • Cost price = Rs. 4000
  • Profit = 30%
  • GST charged = 5%

To find :-

  • Total amount paid by the customer

Formulae being use :-

{\large{\red{✠ \:  \:  \:  \:  \:  \:  \:  \:  \:  \: }}}{\bold{\underline{\boxed{\rm{CGST  \: = \:  \frac{1}{2} × \frac{R}{100} × SP}}}}} \\

{\large{\red{✠ \:  \:  \:  \:  \:  \:  \:  \:  \:  \: }}}{\bold{\underline{\boxed{\rm{SGST  \: =  \: \frac{1}{2} × \frac{R}{100} × SP}}}}} \\

Where R signifies the ratio of GST and SP shows selling price

Solution :-

{\bold{\sf{➤ \:  \:  \: Cost  \: price  \: = \:  Rs.  \: 4000}}} \\

{\bold{\sf{➤ \:  \:  \: Profit \:  =  \: \frac{30}{100} \: × \: 4000 }}} \\

{\bold{\sf{➤ \:  \:  \: Profit  \: = \:  Rs.  \: 1200}}} \\

Let's find out Selling price

{\bold{\sf{➤ \:  \:  \: Selling \:  price \:  = \:  CP  \: +  \: profit}}} \\

{\bold{\sf{➤ \:  \:  \: Selling  \: price \:  = \:  Rs. \:  4000  \: +  \: Rs. \:  1200}}} \\

{\bold{\sf{➤ \:  \:  \: Selling \:  price \:  =  \: Rs. \:  5200}}} \\

According to the given question, this is an intra - state sale i.e. sold within the state which clearly means that we have to calculate the CGST and SGST

{\large{\underline{\sf{\blue{In  \: case \:  of \:  Input \:  tax :}}}}} \\

{\bold{\sf{⟼ \:  \:  \:  \:  \:  Input  \: CGST  \: =  \: \frac{1}{2}  \: ×  \: \frac{5}{100}  \: ×  \: 4000}}} \\  \\

{\bold{\sf{⟼ \:  \:  \:  \:  \:  Input  \: CGST  \: = \:  Rs. \:  100}}} \\  \\

{\bold{\sf{⟼ \:  \:  \:  \:  \:  Input  \: SGST  \: =  \: \frac{1}{2}  \: ×  \: \frac{5}{100}  \: ×  \: 4000}}} \\  \\

{\bold{\sf{⟼ \:  \:  \:  \:  \:  Input  \: SGST  \: = \:  Rs. \:  100}}} \\  \\

Total input tax = Rs. 100 + Rs. 100

Rs. 200

{\large{\underline{\sf{\blue{In  \: case \:  of \:  Output \:  tax :}}}}} \\

{\bold{\sf{⟼ \:  \:  \:  \:  \:  Output  \: CGST  \: = \: \frac{1}{2}  \: ×  \: \frac{5}{100}  \: ×  \: 5200}}} \\  \\

{\bold{\sf{⟼ \:  \:  \:  \:  \:  Output  \: CGST  \: = \: Rs.  \: 130}}} \\  \\

{\bold{\sf{⟼ \:  \:  \:  \:  \:  Output  \: SGST  \: = \: \frac{1}{2} × \frac{5}{100} × 5200}}} \\  \\

{\bold{\sf{⟼ \:  \:  \:  \:  \:  Output  \: SGST  = Rs . \:  130}}} \\  \\

Total Output tax = Rs. 130 + Rs. 130

Rs. 260

{\bold{\rm{⟼ \:  \:  \:  \:  \: Net  \: GST_{(paid  \: to  \: the \:  central  \: government)} \:   \: = \:  Rs. 130  \: - \:  Rs. \:  100  \: =  \: Rs. 30}}} \\  \\

{\bold{\rm{⟼ \:  \:  \:  \:  \: Net  \: GST_{(paid \:  to \:  the \:  state  \: government)}  \: =  \: Rs.  \: 130  \: -  \: Rs.  \: 100  \: =  \: Rs. \:  30}}} \\  \\

Total amount paid by the customer = selling price + output tax

{\bold{\rm{⟼ \:  \:  \:  \:  \: Rs.  \: 5200 \:  + \:  Rs.  \: 260}}} \\  \\

{\bold{\rm{⟼ \:  \:  \:  \:  \: Rs.  \: 5460}}} \\  \\

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