Ray's New Higher Arithmetic · Arts. 308–309 · Unit 18: Percentage with Time: Partial Payments
85. Connecticut, Vermont and mercantile rules optional
Goal: Your student sees how some states and most businesses figured partial payments differently, and settles a short account by the mercantile rule.
You'll need
- The book
- A slate, small whiteboard or scrap paper
- A notebook and pencil
What's in the book
The Connecticut rule and the Vermont rule (special state laws), with examples, then the mercantile rule used by business men for debts of under a year, with examples. Answers are printed.
The lesson, step by step
Warm-up
Review: Under the United States rule, what happens to a payment smaller than the interest due? (It is held until later payments cover the interest.)
Different laws
Read:
In Connecticut and Vermont the laws provide the following special rules relative to partial payments:
Read the first Connecticut rule:
Compute the interest to the time of the first payment, if that be one year or more from the time that interest commenced; add it to the principal, and deduct the payment from the sum total.
SayYou don't need to memorize the state rules. Notice that the law decides how the arithmetic is done.
The mercantile rule
Read:
Business men generally settle notes and accounts payable within a year, by the Mercantile Rule.
Find the amount of the principal from the date of the note to the date of settlement.
Find the amount of each payment from its date to the date of settlement.
From the amount of the principal subtract the sum of the amounts of the payments.
Work an example together
A note for $600 was given June 12, 1865, 6% interest, and the following indorsements were made: Aug. 12, 1865, $100; Nov. 12, 1865, $250; Jan. 12, 1866, $120; what was due Feb. 12, 1866, counting by months instead of days?
The note grows for 8 months to $624. The payments grow to $103, $253.75 and $120.60, which is $477.35. Due: $146.65.
Independent practice
Your student works the other mercantile example. If interested, try one Connecticut example, following the rule step by step.
Check and wrap-up
Check the printed answers. Ask: Under the mercantile rule, does each payment earn interest for the debtor? (Yes, from the day it is paid.)
Tip
The Connecticut and Vermont rules are state law from the 1880s. A family short on time can do only the mercantile rule.