Vulgar Fractions. 1 25 Reduce 28295 to its lowest terms. 46436 4 26 Add together +++12+185, and subtract the result from 315 27 Reduce of 23 of 63÷4% to a simple fraction, and multiply the result by 123. 13 28 Add together of a pound, of a guinea, of a shilling, and of a half-penny. 3 29 Reduce 87. 9s. 3d. to a fraction of 217. 12s. 9d., expressing the result in its lowest terms. 30 If of a cwt. be worth 47. 19s., what will be the price of of a ton? Decimals. 31 Add together 0003, 5·4, 325.7879, 63.45, 9470, and subtract 2139 05605 from the result. 32 Multiply 21.5839 by 00158. 33 Multiply 1356 by 1458. 34 Divide 121 by 11, by 110, and by 0011. 35 Divide 34 952 by 53 07, giving the first four figures of the quotient. 36 Express 8s. 1d. as a decimal of a pound. 37 Express 00175 as a vulgar fraction in its lowest terms. 38 Reduce 243 to a decimal. 6075 39 Reduce to a decimal, showing the whole of the circulating period. 40 Reduce 1309 to a vulgar fraction in its lowest terms. H. 1 How many francs at 93d. each are there in 17347. 6s. 10дd. ? 2 Reduce 54 cwt. 3 qrs. 18 lbs. 14 oz. to drams. 3 How many pounds, &c. are there in 266,450 grains troy? 4 How many square yards are there in a rectangular plot the length of which is 36 ft. 9 in. and the breadth 24 ft. 10 in.? 5 How many feet are there in 18 miles 6 furlongs 12 poles 2 yards? 6 Reduce 986,877 cubic inches to yards, feet, and inches. Proportion. 7 Find the income tax on 4,2177. 7s. 92d. at 16d. in the pound. 8 Convert 22 lbs. 5 oz. 15 dwts. 20 grs. troy into avoirdupois weight, one pound avoirdupois being to one pound troy as 175 to 144. 9 The shares of a given railway are at 44g when consols are at 701; what should be their price when consols are at 683? 10 If 780 men on full rations consume 91 quarters of wheat in 49 days, how many on half rations will consume 69 quarters in 9 days? 11 If 27 cwt. 1 qr. 3 lbs. 8 oz. of sugar cost 877. 6s., what will · be the price of 7 lbs. ? 12 If a coach travelling 9 miles an hour occupies 4 hours more than a railway train in a journey of 69 miles, what is the proportion between the rates of the coach and the train? Practice. 13 Find the value of 1003 at 8s. 73d. 14 Find the value of 11 lbs. 6 oz. 15 dwts. of gold, at 3ł. 17s. 10d. per ounce. 15 Find the value of 194 at 47. 12s. 5ąd. 16 Find the value of 3 tons 18 cwt. 3 qrs. 12 lbs. at 27. 17s. 9d. per cwt. 17 What is the dividend on 4,9707. at 8s. 10 d. in the pound? 18 Find the price of 25 acres 1 rood 10 poles at 427. 2s. 4d. per acre? Interest. 19 Find the interest at 42 per cent on 1,3767. 11s. 3d. lent on the 6th of April and repaid on the 30th of August, the former day being excluded and the latter included. 20 What sum of money put out at simple interest for 3 years at 4 per cent. will amount to 12817. 12s. 1d.? 21 At what rate will the interest on 635l. 9s, 41d. amount to 381. 2s. 6d. in 2 years? 22 In what time will 2,6757. 4s. 2d. amount to 3,3977. 10s. 31d. at 6 per cent. simple interest? 23 Find the discount on 2,2677. Os. 7 d. payable 3 years hence at 4 per cent. simple interest. 24 Find the amount of 550l. at the end of 4 years at 5 per cent. compound interest. Vulgar Fractions. 25 Reduce 69615 to its lowest terms. 26 Add together +++ 1 +, and subtract the result from 21. 27 Reduce of 23 of 153 ÷ 161⁄2 to a simple fraction, and mulᄒ tiply the result by 63. 28 Add together of a pound, of a guinea, 50 of 6s. 8d., and of half a crown. 29 Reduce 57. 16s. 4d. to a fraction of 167. 8s. 8d., expressing the result in its lowest terms. 30 If of an ounce troy be worth 5s. 10d., what will be the price of of a pound troy? Decimals. 31 Add together 53, 00015, 643-8797, 62-09, 1035; and subtract 109.000365 from the result. 32 Multiply 32.598 by 00037. 33 Multiply 0423 by 32.7. 34 Divide 169 by 13, by 130, and by 0013. 35 Divide 3.785 by 21-24, giving the four first figures of the quotient. 36 Express 7s. 3ąd. as the decimal of a pound. 37 Express 00325 as a vulgar fraction in its lowest terms. 38 Reduces to a decimal. 39 Reduce to a decimal, showing the whole of the circulating 2.75 period. 40 Reduce 18153 to a vulgar fraction in its lowest terms. I. 1 Reduce 13 miles 5 furlongs 171 yards 2 feet to inches. 2 How many miles, furlongs, &c. are there in 247,391 inches? 3 Reduce 4 tons 17 cwts. 3 qrs. 11 lbs. 6 oz. to oz. 4 How many lbs., oz., &c. are there in 174,283 grains troy? 5 Reduce 7 weeks 3 days 21 hours 4 minutes 17 seconds to seconds. 6 Reduce 97. 19s. 11 d. to farthings. Proportion. 7 Find the value of 14 cwt. 3 qrs. 17 lbs. of sugar at 21. 17s. per cwt. 8 Gold of the value of 423,2847. arrives from Australia; what is its weight, the price being 37. 18s. per oz.? 9 When the income tax was 7d. in the pound, a person paid 247. 7s. 6d. ; what additional sum does he pay now that the income tax is 16d. in the pound? 10 The price of consols is 883; how many railway shares, the market price of which is 87. 15s., can be purchased for 1,000l. consols? 11 The rates of the express and mail trains on a railway are 40 and 28 miles per hour respectively: what time is saved by taking the faster train for a journey of 192 miles? 12 If 21 men take 8 days to dig 20 acres, how many acres will 16 men dig in 12 days? Practice. 13 Find the value of 473 pounds of coffee at 1s. 5d. per pound. 14 Find the value of 27 cwt. of sugar at 27. 18s. per cwt. 15 Find the value of 13 cwt. 3 qrs. 17 lbs. of tea at 227. 8s. per cwt. 16 Find the value of 132 tons of iron at 77. 15s. 6d. per ton. 17 Find the cost of 11 miles 3 furlongs 55 yards of railway at 32,500l. per mile: 18 Find the cost of 716 acres at 447. 11s. 31d. per acre. Interest. 19 Find the interest on 1,2507. in 7 years at 31 per cent. 20 Find the amount of 3221. 13s. for 10 years at 3 per cent. simple interest. 21 Find the discount on 1,4507. 10s. paid 2 months before it is due at 5 per cent. 22 At what rate will the interest on 1,2507. for 5 years amount to 2657. 12s. 6d. ? 23 Required the present value of 4307. due 4 months hence at 4 per cent. per annum. 24 Find the amount of 2407. in 4 years at 3 per cent. compound interest. Vulgar Fractions. 25 Add together,,, and, and divide the result by 75. 26 Reduce 398 to its lowest terms. 27 Find the value of of + of 14 of a shilling. 28 What is the value of of a guinea? 56 29 What fraction of a pound is 9s. 10d.? 30 Reduce of half a crown to the decimal of a pound, and find the value of 8473 of a cwt. Decimals. 31 Multiply 3.05 by ·25, and 32 by ⚫231. 32 Divide 721-42 by 21.9 to 4 places of decimals. 33 Divide 1 by 001 and the quotient by 2. 34 Reduce to a decimal. 35 Reduce to a decimal, giving the whole of the circulating period. 36 Express 0125 as a vulgar fraction in its lowest terms. 37 Multiply 3 by 2, and express the product as a circulating decimal. BOOK-KEEPING. SINGLE ENTRY. A. Read the following memorandum of part of a day's transactions: |