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10. Express each of the silver coins now in use in England by a decimal of 2 d.

11. What decimal of £100 is the quotient of £61, 4s. 71d. by 267?

12. Reduce of a shilling to the decimal of a guinea.

3x1
2+1

13. What decimal of £2 is each of the gold, silver, and copper coins in circulation in England?

14. Reduce

1 × 1 of 6
1-3

of 5 florins to the decimal of £1.

Reduction to the Decimal of (Weights and Measures).

1. Reduce 3 ac. 2 rds. 22 pls. to the decimal of 4 acres; and of 4 ac. 3 rds. 16 pls.

2. What decimal is (a) 3 bush. 3 pks. of 1 qr.? (b) 19 qrs. 1 nl. of 11 yds.? (c) 59 yds. 1 ft. of 1 mile? 3. Reduce 9

I

of 1 pks. to the decimal of 33 qrs.; and of a year to the decimal of a day.

4 Add together 55 of a cwt. and 3.125 qrs., and reduce this sum to the decimal of 10,000 tons.

5. What decimal of 1 lb. Troy is 64 grains?

6. Reduce 33 dwts. to the decimal and to the vulgar fraction of 2 lbs. Troy.

7. Express as the decimal of 1 lb. Troy each of the lower denominations of Troy weight.

8. What part of 10 ac. 2 rds. 37 pls. is 1 ac. 3 rds. 371 pls.? Give answer in vulgar fraction, and in decimals to four places.

9. Reduce 2 wks. 61 dys. to the decimal of 4 dys. 3 hrs.

10. Reduce 3 fur. 10 pls. to the decimal of a mile; and 2 ft. 3 in. to the decimal of 3 yds. 2 ft.

11. Three Russian versts = 10,500 ft. ; reduce a verst to the decimal of a mile.

1

3 4

88. If £880 amount to £899, 5s. at simple interest for of a year, what must be the rate per cent. per annum ?

89. In what time will £225 amount to £256, 1os., at 3) P. c. per annum, simple interest ?

90. At what rate per cent. simple interest will £936, 135. 4d. amount to £1157, 78. 4 d. in 43 years ?

91. In what time will £225 amount to £256, 1os., at i P. C. per annum ?

92. What sum will amount to £105, 6s. old. in 3 years, at 41 per cent. per annum ?

93. What principal lent from March 10 to May 22, at 5 per cent., will amount to £712, 9s. 5d. ?

94. A sum invested at 85 per cent. per annum amounts to a guinea in 219 days; what is the sum

95. Find the rate p. c. at which £411, ros. will amount to £416, 125. 10.1d. in a quarter of a year.

96. What principal will yield £43, ios. 7}d. simple interest in

3 years, at 4 p. c. per ann. ?

97. £175 produced £26, 18s. 1}d. simple interest in 3 yrs. 5 mths. ; find the rate per cent.

98. If I lend to a friend £1250 at 4 p. c. simple interest, and tell him to keep it until principal and interest amount to £1666, 135. 4d., how long will he have it?

99. At what rate per cent simple interest will £ 1248, 12. amount in 21 years to £ 1443, 135. 10 d. ?

100. In what time will £12, 1os. amount to £128, 5s., at 31 p. c. simple interest?

101. In what time will £926, 155. amount to £962, 2s. 8}d., at 7 p. c. per ann. ?

102. At what rate per cent. will £325, 16s. 8d. amount to £374, 6s. old. in 31 years at simple interest?

103. What sum invested at 5 p. C. per ann., simple interest, will produce in 4 years the same amount of interest as £250 lent out at 3 p. c. would produce in 6 years ?

-104. What sum will amount to £150, 8s. in 4 years, at 5 p. C.

per ann. ?

12. What is the value of 2476 of 7s. 6d. inultiplied by 24'7864?

13. If an ounce of gold be worth £40099, what is the value of a bar of gold weighing 1683 lbs. ?

14. Add together 4′56, '0036, and 2'0453, and subtract from their sum 01564837.

15. Work out 365-365+365-0365, and show what would be the difference in the result if the figure 5 in each of the fractions was circulating.

16. How much will be wanted to make up the sum of 375 of a guinea, 54 of 8s. 3d., and '0227 of £2, 15s. to £1, os. 21d.?

17. If I am charged 1875s. for travelling a mile by rail, how much change should I have out of half a sovereign after paying the fare for 40 miles?

18. Find the value of 2 of a guinea +53 of £1+45326 of £5-5 of 5s.

19. If 6 of 363 acres cost 8 of £71136, what is that per rood?

20. Add together 33, 3, 03, 0003, divide the sum by 036, and subtract 98.73325 from the quotient.

21. Find the sum of money to which, if we add 9 of £6.875, the result will be of £13, 6s. 8d.

22. What sum of money multiplied by 8, and divided by 5, gives £6.96? Give answer in decimals, and vulgar fractions, and S. D.

23. A has 295 tons of a certain material; and B, 17'09375 cwt of it. If its price be £1 per quarter, how much more could A sell his stock for than B?

24. How much is 2615384 of £6, 10s., and '54 of ·ożj of 11 mls.?

25. Reduce £3, £ ̈27, £·857142 to vulgar fractions; add together, and give the value of the resulting fractions in £ s. D. 26. Divide of 7825 by 05, and subtract 818 from the quotient.

27. What shall I receive in a year (of 12 months) if I get 13 of £39, 85. 1d. per month?

121. What principal will amount to £1260 in 5 years at

4 p. c.?

122. At what rate of interest must £730 be lent for 95 days to amount to £739, 1os.?

123. At what rate p. c., simple interest, will £736, 135. 4d. amount to £885, 16s. rod. in 43 years ?

124. Find the principal which, in 4 years at 45 per cent., will amount to £962.

125. At what rate per cent. per annum should £255, 1os. be lent from April 1st to June 2oth to produce £2, 16s. interest?

126. What principal will yield £153 interest in 44 years at 41 per cent. ?

INTEREST (Compound).

1. Give the rule for finding the compound interest on a given sum for a given number of years, at a given rate of interest.

2. Find the compound interest on £200 for 3 years, at 5 per cent.

3. Compound interest of £270 in 2 years, at 3 per cent. (answer to decimals of a penny).

4. Compare the simple and compound interest on £1000 for 3 years, at 5 p. C.

5. Find the compound interest on £500 for 4 years, at 5 per cent. per annum.

6. Required the compound interest and amount of £457, ros. for 3 years, at 4 p. c. per ann.

7. Find the compound interest and amount of £49,000 for 31 years, at 7 p. c. per ann.

8. What is the amount of £400 for 4 years, at 4 per cent. per ann., compound interest?

9. Find the difference between the simple and compound interest on £2000 for 2 years, at 5 p. c. per ann.

10. Find the difference between the simple and compound interest on £116, 25. vid. for 3 years, at 9 per cent. per annum.

11. If the sum of £1200 be put out at 10 per cent. per annum, compound interest, paid half-yearly, what will it amount to in it years?

12. What is the compound interest of £5 for 5 years, at 5 per cent. ?

13. Find the compound interest and amount of £207, 155. for 2 years, at 2} p. c. per ann.

14. What is the compound interest on £1200 for 3 years, at 4 p. c. per ann. ?

15. Find the amount, at compound interest, of £14,025, at 4 p. c per ann., for 4 years.

16. What is the difference between the simple and compound interest on £150 in 3 years, at 43 p. c. per ann.?

17. Find the difference between the simple and compound interest of £150, 155. for 3 years at 4 per cent.

18. How much more is the compound interest on £414 for 2 years, at 5 per cent. per annum, than the simple interest for the same sum and for the same time?

19. Find the compound interest on £4000 for 2} years, at 5 p. c. per ann.

20. Compare the simple and compound interest on £415, ros. for 2 years, at 2 p. c. per ann.

21. What is the difference between the simple ard compound interest of £13,333, 6s. 8d. for 5 years, at 5 per cent. per annum?

22. A offers for an estate £83,000 now, and B £96,000 at the end of 3 years; which is the better offer, and by how much, allowing 5 per cent. per annum, compound interest ?

23. B invested £1000 for 3 years at 5 per cent per annum, comp. int.; at what rate per cent. must A invest an equal sum for the same time, in order that he may obtain as much as B by simple int. ?

24. At what percentage, comp. int., would £750 amount in 2 years to £826, 175. 6d. ?

25. What sum of money must be invested to amount to £122, 198. 813d. in two years, at 5 per cent. per annum,

comp. int. ?

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