1. What is the present worth of £315...12...4. 2d. payabl years hence, at 6 per cent.?

315,6175

1,26247

Ans. 1,06 × 1,06 × 1,06 × 1,06=1,26247. ther by the table

315,6175

,792093

249,9984124275

2. If £344...14...9 2,01940875 qrs. be payable in 7 years time, what is the present worth, rebate being made at 5 per cent.? Ans. £245,

3. There is a debt of £441...17...4. ,06164 grs, which is payable 4 years hence, but it is agreed to be paid in present money; what sum must the creditor receive, rebate being made at per cent.? Ans, £350.

II. When P, T, R, are given, to find S.
RULE. PX1=S.

EXAMPLES.

4. If a sum of money due 4 years hence, produce £250 for the present payment, rebate being made at 6 per cent, what was the sum first due ? Ans. £250 × 1,26247=£315...12...4. 2d. 5. If £245 be received for a debt payable 7 years hence, and an allowance of 5 per cent. to the debtor for present payment, what was the debt? Ans. £344...14...9. 2,01940875. ·

6. There is a sum of money due at the expiration of 4 years, but the creditor agrees to take £350 for present payment, allowing 6 per cent. what was the debt? Ans. £441...17...4.,06464. III. When S, P, R are given, to find T.

which being continually divided by R, till nothing remains, the number of those divisions will be equal to T.

EXAMPLES.

7. The present payment of £250 is made for a debt of £315 12...4.,2d. rebate at 6 per cent. in what time was the debt payable?

which being continually divided, those 1,26247 divisions will be equal to 4 the num

250

ber of years.

2

1

8. A person receives £245 now for a debt of £344...14...9. 2,01940875 grs rebate being made at 5 per cent. I demand in what time the debt was payable?

Ans. 7 years.

9. There is a debt of £441...17...4.,06463, due at a certain time to come, but 6 per cent. being allowed to the debtor for the present payment of £350, I desire to know in what time the sum should have been made without any rebate? Ans. 4 years. IV. When S, P, T, are given to find R.

which being extracted by the rules of extrac(tion the time given in the question shewing the power) will be equal to R.

EXAMPLES.

10. A debt of £315...12...4,2d. is due 4 years hence, but it is agreed to take £250 now, what is the rate per cent. that the rebate is made at ?

Ans.

315,6175
250

=1,26247; √1,26247=1,06=6 per cent.

11. The present worth of £344...14...9. 2,01940875 qrs. payable 7 years hence, is £245, at whate rate per cent. is rebate made? Ans. 5 per cent. 12. There is a debt of £441...17...4. ,06464, payable in 4 years time, but it is agreed to take £350 present payment, I desire to know at what rate per cent. rebate is made at ?

50

100

6

Ans. 6. per cent

£100

£200 is 2

200

300

500 5

500

1000, or upwards, 10

Receipt in full of all demands, 10s.

Promissory Notes.

Which said notes may be re-issued for ever.

d.

s. d
3

10. 0 19

Above £3000, at 2 months, £1. 5. above 2 months, £1. 10.

THE

TUTOR'S ASSISTANT.

PART IV.

DUODECIMALS;

OR, WHAT IS GENERALLY CALLED CROSS MULTIPLICATION AND SQUARING OF DIMENSIONS BY ARTIFICERS AND WORKMEN.

RULE FOR MULTIPLYING DUODECIMALLY.

UNDER the Multiplicand write the corresponding denominations of the Multiplier.

2. Multiply each term in the Multiplicand (beginning at the lowest) by the feet in the Multiplier; write each result under its respective term, observing to carry an unit for every 12, from each lower denomination to its next superior.

3. In the same manner multiply the Multiplicand by the primes in the Multiplier, and write the result of each term one place more to the right hand of those in the Multiplicand.

+. Work in the same manner with the seconds in the Multiplier, setting the result of each term two places to the right hand of those in the Multiplicand, and so on for thirds, fourths, &c.

Artificer's work is computed by different measures,
1. Glazing and mason's flat-work by the foot.
2. Painting, plastering, paving, &c. by the yard.

viz.

3. Partitioning, flooring, roofing, tyling, &c. by the square of 100 feet.

4. Brick work, &c. by the rod, or 16 feet, whose square 2721.

MEASURING BY THE FOOT SQUARE,

As Glaziers and Masons Flatwork.

EXAMPLES.

19. There is a house with 3 tier of windows, 3 in a tier, the height of the first tier 7 feet 10 inches, the second 6 feet 8 inches, and the third 5 feet 4 inches, the breadth of each is 3 feet 11 inches, what will the glazing corne to at 14d. per foot?

20. What is worth of 8 squares of glass, each measuring 4

feet 10 inches long, and 2 feet 11 inches broad, at 41d. per foot? Ans. £1...18...9.

21. There are 8 windows to be glazed, each measures 1 foot 6 inches wide, and 3 feet in height, how much will they come to at 74d. per foot? Ans. £1...3...3 22. What is the price of a marble slab, whose length is 5 feet 7 inches, and the breadth 1 foot 10 inches, at 68. per foot ? Ans. £3...1...3.

MEASURING BY THE YARD SQUARE

As Paviors, Painters, Plasterers, and Joiners. NOTE. Divide the square foot by 9, and it will give the number of square yards.

EXAMPLES.

23. A room is to be ceiled, whose length is 74 feet 9 inches, and width 11 feet 6 inches, what will it come to at 3s. 101d. per yard? Ans. £18...10...14. 24. What will the paving of a court-yard come to, at 41d. per yard, the length being 58 feet 6 inches, and breadth 54 feet 9 inches? Ans. £7...0...10. 25. A room painted 97 feet 8 inches about, and 9 feet 10 inches high, what does it come to at 2s. 83d. per yard ? Ans. £14...11...11. 26. What is the content of a piece of wainscotting in yards square, that is 8 feet 3 inches long, and 6 feet 6 inches broad, and what will it come to at 6s. 74d. per yard? Ans. £1...19...5§. 27. What will the paving a court-yard come to at 3s. 2d. per yard, if the length be 27 feet 10 inches, and the breadth 14 feet 9 inches? Ans. £7...4...5.

28. A person has paved a court-yard 42 feet 9 inches in front, and 68 feet 6 inches in depth, and in this he laid a footway the depth of the court, of 5 feet 6 inches in breadth; the footway is laid with purbeck stone, at 3s. 6d. per yard, and the rest with pebbles, at Ss. per yard, what will the whole come to?

Ans. £49...17...0. 29. What will the plastering a ceiling at 10d. per yard, come to, supposing the length 21 feet 8 inches, and the breadth 14 feet 10 inches? Ans. £1...9...9.

30. What will the wainscotting a room come to at 6s. per quare yard, supposing the height of the room (taking in the cornice and moulding) is 12 feet 6 inches, and the compass 83 feet 8 inches, the three window shutters each 7 feet 8 inches by 8 feet 6 inches, and the door 7 feet by 3 feet 6 inches? The shutters and door being worked on both sides, is reckoned work and half work? Ans. £36...12....