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◕ A dealer sold a photocopy machine at Rs 4200 with 13% VAT to a retailer. The retailer added transportation cost of Rs 250 , profit Rs 300 and local tax Rs 150 and sold to consumer. How much amount would be paid for that photocopy machine , if he /she has to pay 13% VAT ?

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VirαtKσhli

Given :-

  • A dealer sold a photocopy machine at Rs 4200 with 13% VAT to a retailer.
  • The retailer added transportation cost of Rs 250 , profit Rs 300 and local tax Rs 150 and sold to consumer .
  • Customer has to pay 13% VAT .

To Find :-

  • Amount to be paid by the customer .

Solution :-

Here , according to the question ,

[tex]\sf\dashrightarrow Cost\ of \ machine \ = \ Rs 4200 [/tex]

[tex]\sf\dashrightarrow VAT = 13\%[/tex]

Therefore cost after adding VAT ,

[tex]\sf\dashrightarrow Cost = Cost_{initial}+13\% of Cost_{initial}\\ [/tex]

[tex]\sf\dashrightarrow Cost = Rs4200 + Rs 4200 \times \dfrac{13}{100}\\[/tex]

[tex]\sf\dashrightarrow Cost = Rs4200 + Rs546\\[/tex]

[tex]\sf\dashrightarrow \bf{ Cost = Rs 4746}[/tex]

Again the values added by the retailer before selling to customer ,

  • Transport = Rs 250
  • Profit = Rs 300
  • Tax = Rs 150

Therefore total cost after adding these ,

[tex]\sf\dashrightarrow Cost = Rs( 4746+ 250+ 300 + 150 )\\ [/tex]

[tex]\sf\dashrightarrow\bf { Cost = Rs 5446} [/tex]

Again Selling price after addition of 13% VAT ,

[tex]\sf\dashrightarrow SP = Rs 5446 + 13\% \ of \ Rs 5446\\ [/tex]

[tex]\sf\dashrightarrow SP = Rs 5446 + \dfrac{13}{100}\times 5446 \\ [/tex]

[tex]\sf\dashrightarrow SP = Rs (5446 + 707.98) = Rs ( 5446 + 708)\\[/tex]

[tex]\sf\dashrightarrow \underline{\underline{\bf SP_{to\ the \ customer} = Rs 6154}}[/tex]

Hence the amount to be paid by the customer is Rs 6154 .

ᴜᴋɪʏᴏ

Answer:

Rs. 6154

Step-by-step explanation:

Here, we have 2 cases that we need to take into consideration.

Case 1:

  • Original price of the photocopy machine = Rs. 4200
  • % of VAT added = 13%

So,

  • Price the dealer sold the machine to the retailer = Original price + 13% VAT
  • Price the dealer sold the machine to the retailer = 4200 + (4200 × 13/100)
  • Price the dealer sold the machine to the retailer = 4200 + 546
  • Price the dealer sold the machine to the retailer = Rs. 4746

Case 2:

  • Transportation cost = Rs. 250
  • Profit = Rs. 300
  • Local tax = Rs. 150
  • % of VAT added = 13%

Then,

  • Price the consumer got the machine for = Price the dealer sold the machine to the retailer + Transportation cost + Profit + Local tax + % of VAT added
  • Price the consumer got the machine for = 4746 + 250 + 300 + 150 + 13% VAT
  • Price the consumer got the machine for = 5446 + 13% VAT
  • Price the consumer got the machine for = 5446 + (5446 × 13/100)
  • Price the consumer got the machine for = 5446 + 707.98
  • Price the consumer got the machine for = Rs. 6153.98 ≈ Rs. 6154

•°• The consumer has to pay Rs. 6154 to get the photocopy machine.

______________

Hope it helps

[tex]\mathfrak{Lucazz}[/tex]

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