16. A grocer bought 6 cwt. 3 qrs. 26 lbs. of sugar, for which he paid £24 6s. 8d. at what rate per pound must he sell it to gain £5 15s. 8d. on the whole ?

17. A pole 12 ft. high throws a shadow of 6 ft. 9 in.: what is the height of a spire which throws a shadow of 150 ft. ?

18. If it takes 108 men to build a house in 45 days, how long would it take 212 men to build it?

19. If a journey can be performed in 18 days by walking 8 hours daily, in what time will it be performed walking 10 hours daily?

20. If 12 men can make a ditch in 16 days, in what time would 30 men do it?

21. A ship was provisioned for a crew of 80 for 6 months: how long would these provisions last if the crew were reduced to 64 men ?

22. A field of corn was to be cut down in 10 days by 40 men; 12 of them, however, did not come to their work in what time would the corn be cut down?

23. A tea-dealer bought 4 chests of tea, each weighing 37 lbs. 7 oz., for £50, what did the tea cost him per oz. ?

24. If 4 lbs. of tea cost 19s. 6d., how much may be bought for £42 7s. 8d. ?

25. If 74 gallons of wine cost £52 17s. 9§d., how much will 32 quarts cost?

26. If 1200 lbs. can be carried 36 miles for 21s., how many pounds can be carried 24 miles at the same rate?

27. If 15 yds. of cloth cost £8 5s., how much will 30 yds. cost at the same rate?

28. What is the cost of 144 pint bottles of wine, if the price of 9 pint bottles is 29s. 6d. ?

29. If 100 men can do certain work in 15 days, how long will 45 men take to do the same work?

30. If the rent of a house is £90 per annum, what ought to be charged for 73 days ?

COMPOUND PROPORTION.

By First Principles.

H.-1. If £200 gain £2 in one month, what sum will gain £8

in 16 months?

2. If by travelling 8 hours daily a distance of 400 miles can be gone over in 20 days, how long will it take to travel 150 miles at the rate of 12 hours a day?

The No. of hours it takes to travel 1 mile =

150 miles =

150 times hr.

3. If 16 horses eat 14 bushels of oats in 9 days, how many bushels will 34 horses consume in 24 days?

The No. of bushels consumed by 1 horse in 1 day =

14

16 x 9 34 × 14

X

16x9 34 × 14 × 24

16 × 9 34x7x8

8x3 34×7

3

238

3

= 79 bushels Ans.

4. If 7 persons require £52 10s. in 6 months, what sum would

10 persons require for 11 months? Thus :

days, and if after 7

5. If 1,000 men have provisions for 47 days 200 men go away, how long will the remaining provisions serve the men that are left ?

7호

47 .. 40

of the provisions are eaten by 1,000 men in 7 days.

will be left.

200 men = 800 men.

will last 1,000 men for 7 days.

47

1

474

7

6. Divide £295 among three persons, A, B, and C, so that may be to B's as 3: 4, and B's to C's as 5: 6.

A's

7. If a man travels 100 miles in 5 days, travelling only 4 hours paily, how long will he be going 150 miles, travelling 12 hours daily? 8. If 4 horses consume 3 bushels of oats in 9 days, how many bushels will 17 horses eat in 12 days?

9. If £80 in trade will gain £18 per annum, what sum will gain £24 in the same time?

10. If the carriage of 28 cwt. for 9 miles comes to £4 18s., what will be the charge for 5 tons 2 cwt. for 12 miles?

11. If 24 men in 9 days can mow 80 acres of grass, how many acres will be mown by 32 men in 6 days?

12. If 6 iron bars, 4 ft. long, 2 in. broad, and 2 in. thick, weigh 250 lbs., how much will 30 bars weigh, each 6 ft. long, 3 in. broad, and 3 in. thick?

13. If 7 men can build a wall in 20 days, working 9 hours daily, how long would 3 men be doing the same work, working 12 hours daily?

14. If it takes 9 days for 4 men to dig a trench 50 ft. long, 2 ft. broad, and 4 ft. deep, how many men would it take to dig a trench as long again, the same depth and breadth, in 5 days?

15. If the wages of 7 men for 7 days' work be 45s., what will be the wages of 11 men for 22 days' work?

16. What sum will gain £4 in 6 months, if £100 gain £2 in 3 months?

17. If 7 men mow 84 acres in 12 days of 9 hours each, how many acres can be mowed by 20 men in 11 days of 8 hours each? 18. If 12 men build 12 rods of wall in 15 days, working 8 hours daily, how many hours per day must 9 men work to build 36 rods in 40 days?

19. If a trench 30 yards long can be dug by 9 men in 48 days, by working 9 hours daily, how many men will it take to dig a trench 40 yards long in 30 days, working 8 hours a day?

20. If a ton of turnips will last 25 sheep for a fortnight, how much will 35 sheep require during the month of January and one week in February?

21. If it takes 4 days for 3 men to mow 16 acres, how long will it take 5 men to mow 40 acres at the same rate?

22. If by travelling 10 hours daily a journey of 150 miles can be completed in 3 days, how long will it take to go a distance of 1,000 miles travelling 12 hours daily?

23. If 24 horses consume 80 bushels of corn in 37 days, how long would 100 bushels serve 15 horses at the same rate?

24. If 3 men reap 45 acres in 10 days, how many men will be required to reap 84 a. 32 p. in 5 days?

25. If 30 cwt. can be carried 30 miles for 10 guineas, how far ought 70 cwt. to be carried for £25?

26. If 6 persons can be boarded 4 weeks for £14, how long ought 28 persons to be boarded for £112 ?

27. If the wages of 10 men for nine months be £32, what will be the wages of 15 men for 14 weeks?

28. If a man travels 90 miles in 4 days, walking 8 hours daily, how long will it take him to go a distance of 600 miles, walking 6 hours daily?

29. If the 8d. loaf weighs 40 oz. when wheat is at 52s. per quarter, what should be the price of wheat when the 6d. loaf weighs 30 oz. 8 dwts. ?

30. If £150 gain £2 5s. in 3 months, what sum will gain £2 in 10 months?

31. If 3 men dig a trench 60 ft. long and 4 ft. deep in 10 days, how long will it take 5 men to do the same work, if they do only half the quantity of work daily?

32. If by travelling 9 hours daily a journey of 90 miles can be performed in 6 days, how long will it take to go a journey of 750 miles at the rate of 7 miles per day?

33. If 176 men consume 2,090 lbs. of meat in 19 days, what quantity would 59 men consume in 27 days?

34. If 7 men earn £9 10s. 6d. in 5 days, what sum will 14 men earn in 311⁄2 days?

35. If 21 men working 10 hours a day earn £59 10s. 74d. in 26 days, what sum would 7 men working 12 hours a day earn in 31 days?

36. If 7 persons require £105 for 6 months, what sum would 10 persons require for 11 months?

37. If a package of tea weighing 7 cwt. be carried 125 miles for £1 98. 2d., what would be the charge for the carriage of 3 tons for the distance of 300 miles ?

38. If the wages of 20 men for 8 days be £10 16s. 8d., what will be the wages of 17 men for 4 days?

39. If 22 horses eat 194 bushels of oats in 14 days, how long will 113 bushels last 35 horses?

40. If a package weighing 15 cwt. be carried 125 miles for £1 10s., how far ought 6 tons to be carried for £18?

41. If a penny loaf weighs 8 oz. when wheat is at 14s. a bushel, what must be the price of wheat when the 2d. loaf weighs 16 oz.? 42. If the carriage of 1 cwt. 12 lbs. for 45 miles be 3s. 10 d., to what distance ought 8 cwt. 2 qrs. 24 lbs. be carried for £3 11s. 2d.? 43. If 15 men, working 13 hours a day, earn £100 in 26 days, how many hours a day must 17 men work to earn £80 in 24 days?

44. If 20 men can do certain work in 6 days, how many men can do 3 times the amount in part of the time?