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The following table of the multiples of 96 may be
useful here.

1 | 2 | 3 | 4 | 5 | 6 | 7 | 8

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96 192 288 384 480 576 | 672 | 768 | 864 | 960

EXAMPLES.

What is the value of 96 yards at 93d. ?

Here 9 d. 39 farthings; and, by doubling the right hand figure for shillings, we have £3 18s. answer.

What is the value of 288 yards of cloth at 5s. 24d. per yard?

Here 5s. 2 d. x3=15s. 74d.; the pence being half in number of the shillings, we know at once that it is 750 farthings, and consequently, the answer must be £75.

Is 1 perch of mortar wall cost 3s. 1d., what will 576 perches cost? Answer, £90.

If 1 gallon of brandy cost 7s. 34d., what will 672 gallons cost? Answer, £245.

A GENERAL RULE FOR DIVISIONAL

PROCESSES.

Rule. First, Place either the number of shillings, pence, or farthings, in a £. sterling (as may seem most convenient) for a numerator; and make the divisor in the question a denominator.

Secondly. Reduce this fraction to its lowest terms; and multiply the dividend by it.

Thirdly. If the number of shillings in a pound be put as a numerator, the number of pounds sterling in the product, considered as shillings, will be the answer. If pence as a numerator, the number of pounds sterling in the product considered as pence will also be the answer. And so on, in like manner, if farthings be put for a numerator.

EXAMPLES.

If 320 yards cost £17 13s. 4d., what is the cost per yard?

Here, by putting 20 as the numerator, we have the
fraction%=10•

And £17 13s. 4d.÷16 £1 2s. 1d., or £15.
Therefore the answer is 1 shillings, or 1s. 14d.

SECONDLY

By putting 240 as a numerator, we have 38.

And £17 13s. 4d. X-£134; consider this as pence, because the pence in a pound was put as a numerator, and we have the same answer as above.

THIRDLY.

The following may be the most convenient method; by putting 960 as a numerator, we then have $8, or 3.

And £17 13s. 4d. X 3= £53.

Consequently, 53 farthings, or 134d., is the answer. If 192 yards cost £76 7s. 6d., what did it cost per yard? Answer, 7s. 114d. 7.

Bought 640 lb. for £93 7s. 6d., what did it cost per lb. ? Answer, 2s. 11d..

INDEX.

Reduction of Fractions ..
Multiplication of ditto,
and its use for the
finding of rules
Division of ditto, its use
for the finding and
proving solutions ..
Rules for deriving from
two or three given
quantities a third or
fourth that is wanted
Practice
Simple Interest

To find the Principal for
a Month
Ditto for a Day

Compound Interest
Loss and Gain

Purchasing of Stock
Square Root

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PART FIRST.

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Tables of Squares and
Square Roots, also of
Cubes and Cube Roots..
Cube Root..

45 Divisional Processes
When the quantity is 24
or any Multiple thereof..
51 Divisional Processes to

ditto..

When the quantity is 30

or any Multiple thereof..
Divisional Processes to
ditto..

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Some of the above errata were discovered and cool before all the sheets were xinted off,

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