VAT Rate Update: Gross Price 742 (Pound, Euro) Currently Has a 14% VAT Rate. If Rate Is Changed to 5% Calculate: New Gross Price, New VAT Amount, Net Price

Calculate new gross price, value of the VAT, net amount

Calculate the Gross Amount 742 with a different VAT Rate: from 14% to 5%

VAT. Gross Amount. Net Amount.

  • VAT = Value Added Tax is a tax charged of each economic agent involved in the business cycle and transferred to the state budget. VAT is charged as a percentage (VAT rate) of value and added at every level of production of a good.
  • Original VAT Rate = 14%
  • New VAT Rate = 5%
  • The VAT Rate value can be written in several equivalent ways:
  • 14% = 14/100 = 14 ÷ 100
  • Net Amount = The amount without VAT (excluding VAT)
  • Gross Amount = 742 (Pound, Euro) = The amount of money with VAT included (including VAT)
  • Gross Amount = Net Amount + Original VAT Amount

1. Rewrite the Gross Amount formula:

  • Formula:
  • 1) Original VAT Amount = Original VAT Rate × Net Amount
  • 2) Gross Amount = Net Amount + Original VAT Amount
  • ...
  • Substitute for the Original VAT Amount in the Gross Amount formula:
  • Gross Amount = Net Amount + Original VAT Rate × Net Amount
  • ...
  • Please see that the Net Amount is a common factor:
  • Gross Amount = Net Amount + Original VAT Rate × Net Amount
  • Gross Amount = Net Amount × (1 + Original VAT Rate)

  • Formula:
  • Gross Amount = Net Amount × (1 + Original VAT Rate)
  • Write the Net Amount based on the Gross Amount:
  • Net Amount = Gross Amount ÷ (1 + Original VAT Rate)

Calculation:

Net Amount =


742 ÷ (1 + 14%) =


742 ÷ (1 + 14/100) =


742 ÷ (1 + 14 ÷ 100) =


742 ÷ (1 + 0.14) =


742 ÷ 1.14 ≈


650.877192982456 ≈


650.88
(Rounded off to a max. of 2 decimals)


3. Calculate the VAT Amount due to the Original VAT Rate:

  • Formula:
  • Original VAT Amount = Gross Amount - Net Amount
  • The VAT Amount, charged by the operators, is transferred to the state budget.

Calculation:

Original VAT Amount =


742 - 650.877192982456 =


91.122807017544 ≈


91.12
(Rounded off to a max. of 2 decimals)


4. Calculate the VAT Amount due to the New VAT Rate:

  • Formula:
  • New VAT Amount = New VAT Rate × Net Amount
  • The VAT Amount, charged by the operators, is transferred to the state budget.

Calculation:

New VAT Amount =


5% × 650.877192982456 =


5/100 × 650.877192982456 =


5 ÷ 100 × 650.877192982456 =


5 × 650.877192982456 ÷ 100 =


3,254.38596491228 ÷ 100 ≈


32.543859649123 ≈

32.54
(Rounded off to a max. of 2 decimals)


5. Calculate the New Gross Amount.

  • Formula:
  • New Gross Amount = Net Amount + New VAT Amount

Calculation:

New Gross Amount =


650.877192982456 + 32.543859649123 =


683.421052631579 ≈

683.42
(Rounded off to a max. of 2 decimals)


Net Amount = 650.88
Original VAT Amount (14%) = 91.12
New VAT Amount (5%) = 32.54
New Gross Amount = 683.42 (- 58.58 vs. initial)

Calculate the Gross Amount (With Tax Included) With Different, New, VAT Rates

Step 1: Calculate the Net Amount (Without Tax)

Step 2: Add the New Tax Amount to the Net Amount

Examples of calculations: