EXAMPLES.

21. What is the value of ,8322916 of a £. Ans. 165. 705. I.

20

16,6158360

12

7,7499810

1,9999360 92. What is the value of ,50208+ of a lb. troy ?

Ans. 12,00384 gr. 23. What is the value of ,046875 of a lb. avoirdupoise?

Ans. 12 drams 24. What is the value of ,625 of a cwt. ? Ans. 2

qrs.

11b 25. What is the value of ,625 of a gallon ?

Ans, 2 quarts, 1 pint. 26. What is the value of ,071428 of a hogshead of wine ?

Ans. 4, gallons, 1 quart, ,999856. 27. What is the value of ,0625 of a barrel of beer?

Ans. 2 gallons, 1 quart. 28. What is the value of ,142465 of a year?

Ans. 51,999725 days

THE RULE OF THREE IN DECIMALS.

EXAMPLES.,

IF
F 26} yards cost £3... 16...3. what will 324 yards come to?

Ans. £4...19.. 9.
Yds. £. Yd:.
26,5 : 3,8125 :: 32,25 :

32,25 26,5) 122,953123(4,63974=£4... 12...94. 2. What will the pay of 540 men come to at £1...5...6. per man?

Ans. £688...10 3. If 7 yards of cloth cost £2...1...9. what will 1404 sards of the same cost?

Ans. £47...16...3,2 qrs. 4. If a chest of sugar, weighing 7 cwt. 2 grs. 14 lb. cost £36... 12...9. what will 2 cwt. 1 gr. 21 lb. of the same cost?

Ans. £11.... 14...2...3,5 qrs, 5. A grocer buys 24 ton, 12 cwt. 2 grs. 14. lb. 12 0%. of tobacco for £3678...6... 4. what will 1 0%. come to?

Ans. ld. 6. What will 326 lb. 1 gr. of tobacco come to, when 1} lb. is sold for 38, 60, ?

per oz. ?

yard ?

a

7. What is the worth of 19 0% 3 dwt. 5 gr. of gold, at £2... 19.

Anis. 56...10...5... 2,3 qrs. 8. What is the worth of 827% yards of painting, at 10 d. per

Ans. £36...4...3...1,5 g1 s. 9. If I lent my friend £34. for of a year, how much ought he to lend me å of a year to requite my kindness ? Ans. £51.

10. If { of a yard of cloth, that is 2 yards & broad, make a garment, how much that is of a yard wide will make the same?

Ans. 2,109375 yards. I 11. If 1 ounce of silver cost. 58. 6d. what is the price of a tankard that weighs 1 lb. 100%. 10 dwt. 4 gr.

Ans. £6...3...9...2,2 gre. 12. If i lb of tobacco cost 15d. what cost 3 hogsheads, weighing together 15 cwt. 1 gr. 19 lb. ? Ans. £107...18...9.

13. If i cwt. of currants cost $2...9...6. what will 45 cut 3.qrs. 14 lb. cost at the same rate ? ans, £31?...10.. 9...3'qrs.

14. Bought 6 chests of sugar, each 6 cwt. 3 qrs. at £2...16.s. per cwt. what do they come to?

Ans. £118...8. 15. Bought a tankard for £10... 12. at the rate of 5s. 4d. per ounce, what was the weight?

Ans. 39 0%. 15.dwt. 16, Gave £187...3...3. for 25 cwt. 3 qrs. 14 lb. of tobacco, at what rate did I buy

Airs. 15d. 2 qr's. 17. Bought 29 lb. 4. 0% of coffee for £10...11...3. what is the value of 3 16. ?

Ans. £1... 1...8. 18. If I gave 1s. ld. for 3} lb. of cheese, what will be the value of 1 cwt. ?

Ans. £1...14...8. A peculiar use of Decimals. (T. S.) When any given sum of money is to be divided

among any number of persons, in proportion to each person's debi, claim, rate, profit or demand, a multiplier may be found, by which the same answer will be produced as by a stating in proportion. To find it, divide the whole sum thus be divided, by ihe amount of all the claims, &c. &c. the answer thus produced will be the decimal multiplier, by which each debt, claim, &c. must be multiplied, and the answer must be reduced to its prom per value.

per 16, ?

EXAMPLES

Were it required to divide £100. among 4 creditors, 1, B, C,

4 and D, A's bill being £75. B's £100. C's £150. and D's £175. add the four bills together, the total will be £500. ; then 100 divided by 500, is equal to .2, the decimal multiplier, by which multiply each debt, and the product will be for A, £15. B, £20. C, £30, and D £35.=£100. which was to be divided.

Nine merchants in company gained in trade £5675...17...6.; they had property in the concern as follows: A to the amount of 11005...19...6 B, £964. 2... 4. C, £800. D, £70. E, £005

1,264, G, 195, H, £ 180. 1, £101, at what rate in the pound will the dividend be made, and how much will each person receive ! 3. A, B, and C, gain £999. 9s. 9d. A, advanced £666. 6s. 6d.

B, £1332. 13s. Od. and C, £ 1998. 19s. 6d. what is each

person's profit? 4. X, Y, and Z, lost £333. 35. 3d. ; X, had in the concern

£222. 2s. 2d. Y, £441. 4s. 4d. and Z, £666. 6s. 6d. what

was each person's loss ? 5. The poor's rate in this parish is £25000, and the rental

is €25000 ; I desire to know what must be paid yearly hyA, whose rent is £542. 10s. 0. B, £364. 5s. 0, C, L200. 17. 6s.

and D, £95. 6s. 8d. ? 6. Five houses are rated in the king's books as follows ; A's,

£1000, B's, 500, C's, £400, D's, 300, and E's, £200, what will each person have to pay for 1 year's taxes, when the demand for the whole is £107. 5s. Od. ?

Interest for days only, at 23, 4, 5, and 8 per cent.
If there are shillings, or shillings, pence, and farthings, in

the sum you want to find the interest of, reduce them to
the decimal of a £, then multiply the principal or given
sum by the number of days, and divide the product by 7300,
if the interest be 5 per cent. ; by 14600 at 2} per cent; by

9125 at 4 per cent. ; and by 4562, 5, at 8 per cent. N. B. The interest of any suin of money at 5 per cent, for a

year, is pd of the principal, and therefore the interest for one day is also

= 7300. 7. What is the interest of £ 100. 58. Od. for 30 days, at ő per

cent. ? 8. What is the interest of £200, 10s. Od. for 30 days, at 2 per

eent. ? 9. What is the interest of £ 125. 6s. 3d. for 30 days, at 4 per

cent. ? 10. What is the interest of £62. 13s. 13d. for 30 days, at 8 per

cent. ? 11. What is the interest of £200. 10s. Od. for 60 days, at 2} per

18. What is the interest of £526. Os. Od. for 95 days, at 8 per

cent. ?

Another Method, at any rate per cent.
When the rate of interest is either more or less than 6 per

cent. Having reduced the principal, and multiplied by
the number of days, divide by 7300, which will be equal
to the interest of 5 per cent. Divide the interest thus found
by 5, and multiply the quotient by the given rate, and the

product will be the answer. 19. What is the interest of £100. 10s. Od. for 95 days, at 94 per

cent. ? 20. What is the interest of £100, 10s. Od. for 285 days, at 31 per

cent. ? 21. What is the interest of £100. 10s. Od. for 142 days, at 05

per cent. ? 22. What is the interest of £100. 10s. Od. for 190 days, at 45 per

cent.? 23. Find the interest of £100. 6s. 8d. for 73 days, at 21, 21, 3, 31,

3}, 3, 4, +1, 49. 53, 65, 71,81,91, 103, 115, 12, 13, 145,

and 1573 per cent. 24. Find the interest of £50. 3s. 40. for 146 days, at the above

rates per cent. 25. Find the interest of £200. 13s, 41. for 36. days, at the above

rates per cent. 26. Find the interest of £33. 8s.'10 d. for 219 days, at the above

rates per cent. 27. Find the interest of £25. Is. Sd. for 292 days, at the above

rates per cent. 28. Reduce the following sums to decimals of a pound in one line,

by inspection, 198, 18s. 175. 16s. 15s. 145. 13s. 12s. lis.
Jos. 9s. 8s. 75. 6s. 55. 4s. 3s. 2s. Is. 9d. 6d. 3d. , £,
178. 4d. 195. 09. and ls. 93d.
8.d.

8.d.
29. Multiply 2 6 by 2 6 3 4 by 3 4 3 6 by 36
30.

4 1 by 4 2 4 6 by 4 9 5 3 by 4 9 31.

6 8 by 6 6 9 4 by 6 3 7 6 by 76 32.

10 6 by 10 6 15 4 by 10 3 16 8 by 13 4 33. Find the interest of £50, for 50 days, at 5 per cent. 34.

£50. for 100 days, at 23 per cent. 35.

£50. for 200 days, at 14 per cent. 36.

£50. for 50 days, at 8 per cent. 37.

£200. for 50 days, at 21% per cent. 38.

£25. for 25 days, at 5 per cent. 39.

£50, for 12 days, at 21 per cent. : 40.

£100. for 5 days, at 5 per cent. 41.

£50. for 10 days, at 24 per cent. 49.

- £25. for 20 days, at 5 per cent

$.d.

s. d.

$. d.

TABLE I. Farthings. ¡Decimals. Grains. Decimals. ENGLISH COIN.

3 ,0625

12

,025
2
£1. the Integer.

,0416. 11 ,022916 1

10 ,02083 Sh. dec. Sh dec.

9

,01875 19,95 ,45 TABLE III.

8 ,016 18 ,9 ,4 TROY WEIGHT.

7 ,014583 17 ,35 1 lb, the Integer.

6

,0125 16 ,8

Ounces the same

5 ,010416 15 5 ,25 Jas Pence in the last

,0083 14

4
,2
Table.

3 ,00625 13

3
,15

2 ,00116 | 12 ,6 ,1 Penny. Decimals.

1

,002083 11 ,55 1

weight.

10 10 ,5

,0416

TABLE IV.

9 ,0375 Pence.

AVOIR DUITSE WT.
Decimals.

,03
6
,025

7 ,02916 1121b. the Integer. ,02083

6 ,025 .
5
,02083

Qrs. Decimals.
4
,016

4
,016

3 ,75
3 ,0125

3 ,0125

2 ,5 2 ,0083.

2 ,0083.

1 1 ,00416

1 ,00416 Farthings. Decimals.

Pounds. Decimals. 3 ,003125

Grains Decimals. 14 ,125 2 ,002063.

12 ,002083 13 ,116071 1 ,0010416 11 ,001910

12

,107143 10

,001736 11 ,098214

9 TABLE II.

,001562 10 ,089286 8 ,001389

,080357 ENG: COIX. 1 sh. 7 ,001215 8

,071428 Long Meas,

1 Foot,
6 ,001042

,0625
the Integer,

5 ,000868 6 ,053571 4 ,000694

,044643 Pence and

,000521

,035714 Inches. Dezimals. 2 ,000347

3

,026786 6

1 ,000173 2 ,017857 5 ,416

1

,008928 3

1 Oz. the Integer.

Pennyweights the Ounces. | Decimals. ,16

same as shillings 3 ,004464 1 ,083

in the first Table. 7 ,003906