Indirect Tax & Commercial Billing Lab

Nepal 13% Value Added Tax (VAT) Engine

Mathematical modeling of forward (+13% VAT), reverse tax extraction, composite hospitality service charge compounding, and business input/output tax reconciliation under Nepal Value Added Tax Act, 2052.

Standard Statutory Rate 13.00% VAT

Statutory Authority IRD Nepal

Net Base Amount (NPR)

NPR

Presets:

Net Base Amount: NPR 10,000.00

Value Added Tax (13%): + NPR 1,300.00

Gross Invoice Total: NPR 11,300.00

Words: Eleven Thousand Three Hundred Rupees Only

Value Added Tax (VAT) Algorithms & Statutory Specifications

Formal mathematical models governing commercial transactions under the Nepal Value Added Tax Act, 2052.

1. Reverse Extraction Formula

When a price is already gross (VAT inclusive), extracting the net base and tax component requires dividing by 1.13, not multiplying by 0.13:

Net = Gross / 1.13
VAT = Gross x (13 / 113) ≈ Gross x 0.115044

Example: An invoice total of NPR 11,300 yields Net = NPR 10,000 and VAT = NPR 1,300.

2. Composite Hospitality Cascading

In restaurant and hospitality billing, the mandatory 10% Service Charge is added to the food base before VAT is levied on the compounded subtotal:

Subtotal = Base x (1 + s)
Gross = Base x (1 + s) x 1.13 = Base x 1.243

This creates an effective total tax & service surcharge markup of 24.30% over the raw menu price.

3. Input-Output Tax Credit Offset

Nepal adopts the destination-based invoice credit method. Businesses pay tax only on the incremental value added:

Net VAT = Output VAT - Input VAT

If Input VAT exceeds Output VAT, the balance is claimed as a tax credit carry-forward against subsequent tax periods.