VAT Rate Update: Gross Price 16,167.21 (Pound, Euro) Currently Has a 20% VAT Rate. If Rate Is Changed to 10% Calculate: New Gross Price, New VAT Amount, Net Price

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

Calculate the Gross Amount 16,167.21 with a different VAT Rate: from 20% to 10%

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 = 20%
  • New VAT Rate = 10%
  • The VAT Rate value can be written in several equivalent ways:
  • 20% = 20/100 = 20 ÷ 100
  • Net Amount = The amount without VAT (excluding VAT)
  • Gross Amount = 16,167.21 (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 =


16,167.21 ÷ (1 + 20%) =


16,167.21 ÷ (1 + 20/100) =


16,167.21 ÷ (1 + 20 ÷ 100) =


16,167.21 ÷ (1 + 0.2) =


16,167.21 ÷ 1.2 =


13,472.675 ≈


13,472.68
(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 =


16,167.21 - 13,472.675 =


2,694.535 ≈


2,694.54
(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 =


10% × 13,472.675 =


10/100 × 13,472.675 =


10 ÷ 100 × 13,472.675 =


10 × 13,472.675 ÷ 100 =


134,726.75 ÷ 100 =


1,347.2675 ≈

1,347.27
(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 =


13,472.675 + 1,347.2675 =


14,819.9425 ≈

14,819.94
(Rounded off to a max. of 2 decimals)


Net Amount = 13,472.68
Original VAT Amount (20%) = 2,694.54
New VAT Amount (10%) = 1,347.27
New Gross Amount = 14,819.94 (- 1,347.27 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: