444)

Author: Isaac Newton

Source: MINT 19/3/441, National Archives, Kew, Richmond, Surrey, UK

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- Revision History
  - 1 January 2001
    - Catalogue information compiled by Rob Iliffe, Peter Spargo & John Young
  - 29 September 2011
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    - Transcribed by Will Scott
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Related Texts
- This document is a version of:
  Formula for calculating customs duty, followed by notes on the measurements of Herod's temple and a series of trigonometrical calculations [MINT 19/3/444]

<441r>

Because Merchants pretend that they are not to be taxed, \not/ for the Duty they pay to the King, but only fore the Excess of the value of their Goods above the Duty: for doing this following Probleme is proposed.

Probleme.

To lay a Duty at any assigned Rate upon the \Excess of the/ Value of any parcel of Goods above the Duty.

Solution.

By the rule of fals Position, assume any Excess at pleasure & the Rate will give the Duty upon it, & the Duty added to the Excess will compose the value of the Goods in this case. And by the Golden Rule: As this Value is to the Duty, so is the Value of any parcel of goods to the Duty upon them.

✱ ✱

Example 1

If the rate be 9 per cent, & the Excess assumed be 100^li, the Duty will be 9^li & the value of the goods 109^li. And by the Golden Rule, As 109 to 9, so is the Value of any parcel of Goods to the Duty upon them.

Example 2.

If the rate be 20 per cent, & the Excess assumed be 100^li the Duty will be 20^li & that Value {illeg}|o|f the Goods 120^li. And by the Golden Rule, As 120 to 20, so is the value of any parcel of goods to the Duty upon them.

NB. Here by the value of the Goods is to be understood the clear value {illeg}|w|^ch remains after the charges of warehouse room, & all other charges except the Duty, are subducted.

✱ ✱

Demonstration.

For as the Value of the goods is to the Duty {is}|up|on them in any one case, so is the Value of the goods to the Duty upon them in all other cases.