1. A and B gained by trading £146; A put in £250, and B £370; what is their respective share of the gain?

Answer, £58. 17s. 5d. ' A's share. £87. 2s. 6d. B's share.

2. Three men, A, B, and C, put in money together: A put in £23, B £32, and C £17; they gained £42. 15s.: required their respective shares of the gain.

Answer, £13. 13s. 1d. A's share.

£19. Os. Od. B's share.

£10. 1s. 10d. C's share.

3. Two merchants, L and M, made a stock of £210; of which L contributed £137, and M the rest: by trading they gained £60; what must each have of it?

Answer, £39. 2s. 104d. L's share. £20. 17s. 1d. M's share.

4. Divide £152 among three persons, so that their shares may be to each other as 3, 7, and 9. Answer, £24, £56, and £72. 5. Two merchants trade together: A put into stock £500. 10s. 7d. and B 700 guineas; they gained £300. 15s.: what is each person's share thereof? Answer, £121. 16s. 9d. A's share. £178. 18s. 2ąd. B's share.

6. Three merchant's freight a ship with 340 tuns of wine: D loaded 110 tuns, E 97, and F the rest. In a storm the seamen were obliged to throw 85 tuns overboard: how much must each sustain of the loss? Answer, D 271, E 241, F 331.

7. Four men, E, F, G, and H, trade together; E put in £48, F £72, G £84, and H £25, and upon settling their accounts at the year's end, they found they had gained £175: what is each man's share of the gain? Answer, £36. 13s. 74d. E's share.

8. A person is indebted to K £238. 15s., to L £175. 19s., to M £360. 8s., and to N £53. 17s. 6d. ; but his estate is worth only £500:-how must it be divided among them?

Answer, £144. Os. 03d. K's share.

£106. 2s. 6d. L's share.

£217. 7s. 6d. M's share.

£32. 9s. 11d. N's share.

9. A father left his estate, valued at £19090, among his three sons,

in such a manner that for every £2 A gets, B shall have £3, and

C £5-how is the estate divided?

Answer, A has ₤3818.

B has £5727.

C has £9545.

DOUBLE FELLOWSHIP

Is when different stocks are employed for unequal times.

Example.

A puts

Three merchants, A, B, and C, engage in partnership. in £547. 19s. 6d. for 7 months; B £475. 18s for 9 months; and C £1747. 14s. for 4 months: they trade, and gain £225. What is each person's share?

EXERCISES.

10. D, E, and F trade in common. D puts in £100 for 6 months; E £160 for 8 months; and F £500 for 5 months: they gained

:

£510. 15s. required their proportionate shares of the gain.

Answer, £69. 19s. 3 d.+ 54 D's share.

£149. 5s. 24d.+378 E's share.

£291. 10s. 52d.+ 6 F's share.

11. Three persons hire a pasture for £25 per annum. R. put in 14 horses for 5 months; S, 23 horses for 12 months; and T, 19 horses for 7 months. How much must each pay of the rent?

Answer, R pays £ 3. 13s. 03d.+147.

S pays £14. 8s. 1d. +388.

T pays £6. 18s. 9 d.+423.

12. X put in a concern £2080 for 2 months; Y, £970 for 5 months; and Z, £400 for 15 months: they gain among them £650. What is the profit of each?

Answer, £180. 2s. 11d. +1060 X's profit. £210. Os. 6d.+ 875 Y's profit.

13. Four graziers take a piece of pasture land for a year, for which they pay 35 guineas. F put in 27 oxen for 11 months; G, 18 oxen for 7 months; H, 12 oxen for 9 months; and K, 33 oxen for 4 months. Required what each must contribute towards the rent? Answer, F £16. 9s. 3d. +108.

G 6. 19s. 8d. +528.
H£ 5. 19s. 81d.+642.
K£ 7. 6s. 4d. + 48.

14. Three merchants enter into partnership, and trade as follows: A put in £150, and at the end of 7 months took out £50, and 5 months after that, he put in £170. B put in £205, and at the end of 5 months £110 more; but 4 months after, took out £150. C put in 300 guineas, and after 6 months took out £150; but 9 months after, put in £500. They continued trading for 18 months, when they found their gain to be £450. Required each person's share of it. Answer. £115. 17s. 7 d.+1740 A's share.

BARTER

Is the exchanging of one commodity for another, so that neither party may sustain loss by the exchange.

Example.

A and B barter goods. A has 479 yards of cloth at 3s. 5d. per yard, which he exchanges with B for coffee at 2s. 9d. per lb.; what quantity of coffee must A receive?

1. How many pounds of Cotton, at 17d. per lb., must be given for 47 reams of paper, at 15s. 9d. per ream?

Answer, 522 lb.

2. How much Tobacco, at 2s. 8d. per lb., can be had for 4 Cwt. Answer, 9 Cwt. 103 lb.

1 qr. 18 lb. of Tea, at 5s. 6d. per lb. ?

3. G has 5 pipes of Wine, at £30. 17s. per pipe, which he barters with H for Flannel, at 201d. per yard; what quantity of Flannel must G receive? Answer, 18053 yards.