What is the compound interest of 2401. 10s. for 2 years, at 5 per cent? per cent., add it; and so on for any number of years.-2781. 8s. 2d. is what 2401. 10s. amounts to in 3 years. The compound interest is found by taking the original principal, 2401. 10s. from the amount in 3 years, 2781. 8s. 21., and what remains, 377. 18s. 2d. is the compound interest on 2407. 10s. for 3 years. 1. Required the interest on 4201. for 3 years, at 5 per cent? 2. Required the amount of 6401 for 4 years, at 3 per cent? 3. What will 4361. amount to in 3 years, at 4 per cent? 4. What is the compound interest on 6781. 16s. for 6 years, at 3 per cent. per annum? 5. What will 7641. amount to in 4 years at per cent? 6. What is the compound interest on 7861. 10s. for 6 years at 4 per cent per annum? BARTER. When one person gives goods to another and re ceives, not money, but goods in return, he is said to Barter. How many yards of cloth, at 10s. per yard, ought I to get for 98 lbs. of tea, at 8s. per pound? RULE WITH EXAMPLE. Find the value of the goods given. In this example the value of the tea is found to be 784s. ; you have therefore to consider how many yards of cloth you ought to receive for 784s. the value of 1 yard being 10s. lbs. 98 8 10)784 78 All the questions in this rule may be found either by Simple Proportion or Practice. 1. How many pairs of shoes, at 12s. per pair, must be given for 206 pairs of stockings at 2s. per pair? 2. How much tea, at 7s. per lb., ought I to receive for 1 ewt. of coffee at 2s. per lb.? 3. How much brandy, at 23s. per gallon, ought I to receive for 98 gallons of rum at 15s. per gallon? 4. A chandler gave $2 cwt. 3 qrs. of tallow at 17. 18s. 6d. per. swt.; how much soap ought he to receive at 5d. per lb. ? 5. How much iron at 1d. per lb. ought a nailer to receive for 9860 nails, at 6d. per hundred? PROFIT AND LOSS. The use of this rule is to discover how much is gained or lost in buying and selling goods. Case I.-When the prime cost and selling price are given to find the entire gain or loss on any quantity of goods. Bought 12 yards of cloth at 9s. 81. per yard, and sold it at 11s. 6d.; what did I gain on the whole? RULE WITH EXAMPLE. Subtract the cost price, 9s. 84., from the selling price, 11s. 6d., and multiply the gain upon one yard, 1s. 10d., by the number of yards bought, 12. The product, 17. 2s. is the gain on the 12 yards. 8. d. 11 6 9 8 1 10 12 2 i. Bought 256 yards of cloth at 12s. 9d. per yard, and sold it at 14s. 9d.; what did I gain? 2. Bought 406 lbs. of butter at 10d. per lb., and sold it at 14d. per lb.; what was gained on the whole? 3. Bought 248 pairs of stockings at ls. 8d. per pair, and sold the whole for 121. 16s.; what was the gain or loss? 4. Bought 9 cwt. of cheese at 21. 12s. per cwt., and sold it at 21. 18s. per cwt.; what was the gain upon the whole? 5. Sold a chest of tea containing 144 lbs., for 571. 108. how much did I gain, the tea having cost me 6s. 8d. per lb.? Case II.-The first cost and selling price being given, to find the gain per cent. Bought cloth at 12s. per yard, and sold it at 14s. per yard what was the gain per cent.? 6. If a pound of tea be bought for 6s. 6d., and sold for 76. 4d., what is the gain per cent.? 7. When wine is bought for 18s. 6d. per gallon, and sold for 27s. 8d. per gallon; what is the gain per cent? 8. Bought a quantity of goods for 641., and sold them for 761.; what was the gain per cent? 9. Bought cloth at 6s. 8d. per yard; but finding it not so good as I expected, I was obliged to sell it at 6s. 4d.; how much did I lose per cent? PARTNERSHIP. PARTNERSHIP is when two or more persons unite in trade, and agree to share the profits or losses, according to the terms of agreement. Case I.-Partnership without time. RULE.-As the whole capital is to the whole gain or loss, so is each partner's stock to his share of the gain or loss. EXAMPLE.-A, B, and C entered into partnership: A gave 4007., B 5007., and C 7001.; they gained 3501.; what is each partner's share of the gain? Capitals. 16007. : 3501.: 4007. 871. 10s. Od. A's gain. 400 1. Two persons, A and B, entered into partnership; A put into the business 8651., B 26087.; they gain 9647.; what was each person's share of the profit? 2. Three merchants freight a ship to America: the value of the cargo was 26401.; of this 6867. belonged to A; 12007. to B; and the rest to C; they lose upon the whole cargo 5247. ; what is each merchant's share of the loss? 3. Three wine merchants freighted a ship with 468 pipes of wine, of which 142 pipes belonged to A; 204 to B; and the rest to C. During a storm the sailors were obliged to throw overboard 96 pipes; what was the loss sustained by each? 4. Three persons pay a tax of 1007., in proportion to the annual value of their property. A's property is worth 8002. per annum; B's 6007.; and C's 4001.; how much is each to pay? Case II.-Partnership with time. RULE.-Multiply each person's money by the time it continued in the business, and proceed as in Case I. EXAMPLE. Three persons enter into partnership: A puts in 2007. for 4 months; B 4004. for 6 months; and C 8007, for 7 months. They gain 5001.; what is each person's share of the gain? 88007.: 5007.:: 8001. : 451. 9s. 1d. A's gain 800 88,00)4000,00 £45 9 1 88007.: 5007.:: 24007.: 1367. 7s. 34d. B's gain 2400 88,00)12000,00 £136 7 34 88007: 5007.:: 56007.: 3187. 3s. 74d. C's gain 5600 88,00)28000,00 £318 3 7 5. A, B, and C enter into business; A puts in 9681.; B 1420., and C 24707. A's money was in the business 2 years, B's 5 years, and C's 7 years: they gained 23487.; how ought the gain to be divided among them? 6. Three graziers rented a piece of land for 987.; A put 8 cows on the land for 4 months; B 5 cows for 7 months, and C 9 cows for 6 months; how much ought each to pay of the rent? 7. A, B, C, and D, put each into partnership 7501.; A's money remains 7 months; B's 9 months, C's II months, and D's a year. they gain 4387.; what is each person's share of the gain? |