STOCKS AND SHARES. Find the Quantity of Stock Purchased by Investing Stock. £ 0 in the £100 of the London & N.W. Ry., at 1144 1.-2285. 0 30 dis. 6.-1665 Shares. Gt. Eastern Railway,, Company. 7.- 5 in the Manchester and County Bank, London and Westminster Bank, 8.- 20 Alliance Bank, London General Omnibus, Find the Yearly Income arising from the Investment of : What Sums of Money must be Invested in the undermentioned Stocks, in order to produce the following Incomes? (Brokerage per cent.) At what rate per cent. will a person receive interest who invests his 1.-A grocer bought 3 wt., 1 qr., 14 lbs of sugar, at £1 17s. 4d. per cwt., and sold it again for £2 2s. per cwt.: what was the gain upon the whole? 2. Find the total value of 25 sheep, at £1 17s. 6d. each; 28 at £1 12s. 9d. each; and 7 at £1 15s. 4d. each: what is gained or lost by selling them at 7 for £12 12s.? 3. A person buys 15 yds. of cloth for £9, and sells 10 yds., at 15s, a yard, and the remainder, which is soiled, at 11s. a yard: find his gain. 4.-A huckster bought a box of oranges, containing 480 for a pound, and sold 300 of the best at 5 for 4d., and the remainder at 2 for 14d.: how much did he gain? 5. For how much must an article be sold, which cost 15s., so as to gain 20 per cent.? 6.-If goods be bought for 12s. 9d., and sold at 17s.: what is the gain per cent.? 7.-A merchant, by selling goods, at £3 7s. 6d. loses 25 per cent.: what was the prime cost? 8.-Goods which were bought for £462 10s. were sold at a gain of 10 per cent. find the selling price. 9. By selling goods at £1 6s. 3d., I gained 5 per cent.: find the prime cost. 10. For how much must an article be sold, which cost £50, so as to gain 15 per cent. ? 11.-A piece of carpet, containing 24 yds., was bought for £4 16s. : what must I sell it at per yard, so as to realize 25 per cent.? 12.-If I buy goods for £4 16s.: what must they be sold for that the loss may be 15 per cent.? 13.-If by selling a horse for £48, I lose 20 per cent.: what must I have sold him for so as to gain 5 per cent. ? 14. A grocer buys 1 cwt. of coffee, at 1s. 3d. per lb.; 2 cwt., 1 qr. at 1s. 1d. per lb.; and 2 stones, at 1s. 2d. per lb., and mixes them he sells 3 cwt. of the mixture at 1s. 3d. per lb.: what must he sell the remainder at a pound, in order to gain 25 per cent on his outlay? 15.-Oranges are sold at the rate of 5 for 2d. at what price must they have been bought to bring a profit of 20 per cent. ? 16. By selling an article for 15s., the seller loses 10 per cent.: what will be the gain or loss per cent., when sold for £1 Os. Od.? 17.-How much per cent is 24d. in the shilling? PROPORTIONAL PARTS. 1.-Divide £75 between A and B, so that their shares shall have the ratio of 2 is to 3. 2.-Divide £346 10s. among 4 persons, A, B, C, and D, so that their proportions may be as,,, and . 3.-Divide £771 among 3 persons, so that the first shall have twice as much as the second, and the third twice as much as the other two together. 4.- Divide £213 among 3 persons, B, C, and D, so that their proportions may be as §, 1, and . 5.-Gunpowder is made of 75 parts of nitre, 10 of sulphur, and 15 of charcoal: how much of each of these will be required for a ton of powder? 6. Two merchants, A and B, form a joint capital for conducting a business, of which A contributes £360, and B £240; they gain £120: how ought the profits to be divided between them? 7.-A bankrupt owes three creditors, A, B, and C, £145, £278, and £310 respectively; his property is worth £206 3s. 14d.: what ought they each to receive? 8.-Three persons, A, B, and C, engage in trade, investing capital to the amount of £64, £88, and £96 respectively; their profits amount to £139 10s.: what were their shares of it? 9.-A, B, and C purchase a patent, A taking 3, B, and C paying £66 13s. 4d.: what money did A and B each advance? 10. Four persons, A, B, C, D rent a pasture for £59 10s.; A put in 7 cattle; B 8; C 9; D 10: how much should each person pay for his share? 11. Two graziers rented a piece of land for £9 10s.; the one put in 50 sheep to graze for 4 weeks, and the other 36 for 5 weeks: what has each to pay! 12.-The rent of a piece of land is £46 7s.; A feeds on it four cows for 4 months; B, five cows for 3 months; C, nine cows for 4 months: what should they each pay of the rent? 13.-A, B, and C enter into partnership for 12 months; A, at first puts in £45, and 6 months after £15 more; B puts in at first £30, at the end of 4 months £50 more, and at the end of 6 months £20 more; C puts in at first £50, at the end of 5 months £40 more, and at the end of 8 months withdraws £30; during the 12 months they gain £40: what is each man's share of the gain? 14. The gold coin of England is made of 22 parts of pure gold and 2 parts of copper; and a lb. Troy of standard gold yields 4628 sovereigns: what weight of copper is there in 100 sovereigns ? AVERAGES. Find the Average of : 1.-475; 608; 976; 18; 9; 200; 6019; 1367. 2.-£5 14s. 6d.; £86 14s. 94d.; £9 10s. 64d.; £1 0s. 24d. 3.-6; 3; 4; 106; 74; 209; 544; 22112. 75 4.-£18 7s. 6d.; 2s. 74d.; £9 17s. 4d.; 5d.; £1 12s. 0d. 5. A shopkeeper received on six successive days the following sums: £5 13s. 9d.; £8 1s. 6d.; £2 13s. 94d.; £3 15s. 94d.; £7 18s. 7d.; £18 10s. 44d.: find his daily average receipts. 6. In a town, the births for seven years were 315; 307; 400; 406; 397; 412, and 486: what was the annual average number of births? 7.-A man worked 10 hours on Monday, 11 on Tuesday, 9 on Wednesday, 8 on Thursday, 9 on Friday, and 4 on Saturday: what length of time did he work on an average daily? 8. In a company of soldiers there are 13 whose age is 30 years, 12 aged 28, 10 aged 25, 8 aged 23, and 7 aged 20: find the average age in the company. 9.-On Monday I spent 5s. 61d.; on Tuesday, 4s. 74d.; on Wednesday, 3s. 114d.; on Thursday, 5s. 04d.; on Friday, 4s. 5d.; on Saturday, 9s. 6d.; and on Sunday, no money: find my average daily expenditure during the week. 10. The population of three towns, in 1851, were 30,600, 48,000, and 5,700; in 1861, the first two had increased 10 and 12 per cent. respectively, and the last had decreased 8 per cent.: find the average population of the three towns in 1861. 11.-The average age of 20 boys is 14 years, that of the first seven is 16 years, and that of the last five 12 years: find the average age of the rest. 12. If 25 tons, 17 cwt. of coal are sold for 10s. 5d. per ton, and 18 tons, 9 cwt. for 14s. 2d. per ton; what is the average price per ton ? 13.—In a school, the numbers for the week were:-Monday morning, 305; Tuesday morning, 295; Wednesday morning, 307; Thursday morning, 316; Friday morning, 298; Monday afternoon, 4 more than the average of Monday and Tuesday mornings; Tuesday afternoon, 316; Wednesday afternoon, 302; Thursday afternoon, 317; Friday afternoon, 311: find the average attendance of the week. 14. The debenture stock of a railway company was:-£800 at 3 p.c., £2500 at 3p.c., £8500 at 4 p. c., £10,200 at 44 p.c., £15,600 at 4 p.c., and £2400 at 5p.c.: find the average rate per cent. paid by the company. EXCHANGE. TABLE OF FOREIGN MONEY. COUNTRY. China East Indies VALUE OF £1 AT PAR. 3 taels 6 mace... MONEY TABLE. 1 tael 100 mace. 10 rupees 6 annas... 1 rup. = 16 annas 5120 cowries. 1 piaster 40 paras. Egypt and Turkey 110 piasters. Hamburg. Russia.... United States... } 25 francs 22 cents. 1 franc = 100 centimes. 13 mrks 10 schillings 1 mark=16 schillings.. 4 dollars 85 cents.... 1 eagle 10 dols. = 1000 cents. Convert into Foreign Money the following sums of English Money, Exchange being at par. 25. A merchant in Paris draws a bill of 50750 francs upon a merchant in London; what sterling money will the latter have to pay, the course of exchange being 25fr. 37c.£1 sterling? 26. Find the course of exchange between England and France, when £8000 are received in exchange for 203,000 francs. 27.—If £1=25 francs 12 centimes, what English money ought to be given for 10 Napoleons, a Napoleon=20 francs? |