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26. The difference between the simple and comp. int. of a certain sum of money for 3 years at 5 per cent. is £1. Find the sum.

27. Compare the sum of money which will amount to £105, 6s. old. in 3 years, at 41 per cent. simple int., and the sum which, put out at comp. int. for 2 years at 5 per cent., will amount to £100.

28. Find the difference between the comp. int. of £840 for 4 years at 5 per cent. and 5 years at 4 per cent. (payable halfyearly in each case) in decimals of £1.

29. If the sum of £1200 be laid out at 10 per cent. comp. int., to what sum will it amount in a year and a half—(1) if the interest be paid yearly, (2) if it be paid half-yearly?

30. What is the comp. int. on £375 for 3 years at 5 per cent. per annum, interest payable half-yearly (answer to 4 places of decimals only)?

31. Compare the compound interest on £400 for 4 years at 4 p. c. per ann., and the simple interest of £552, 15s. for 3 years at 4 p. c. per ann.

32. If I borrow money at 3 p. c. payable yearly, and lend it immediately at 5 p. c. payable half-yearly (compound interest), and gain thereby at the end of the year £660, what was the sum I borrowed?

33. At what rate p. c., compound interest, will 70 guineas amount to £114, 16s. 104d. in two years?

34. In what time will £2675, 45. 2d. amount to £3036, 75. 2 d. at 6 p. c. per ann., simple interest, and what sum would it have amounted to at compound interest in the same time?

35. What sum at 4 p. c., compound interest, will amount to £4247, 8s. 10368d. in 21⁄2 years?

36. If the compound interest of £250 for 2 years be £20, Ss., what is the rate p. c. per ann. ?

PRESENT WORTH AND DISCOUNT.

1. Find the present value of £598, 9s. 9d., due at the end of 1 year 115 days, at 2 per cent.

2. Find the present worth of £10,500, due 15 months hence, at 4 p. c. per ann., simple interest.

3. What is the present value of £195,585, due 1 year 9 months hence, discount at 6 p. c. per ann. ?

4. The credit price for a newspaper is £2, 4s. ; find the ready-money price, payable in advance, at 10 per cent.

5. If the discount on £567 be £34, 145. 3 d., simple interest being reckoned at 41 p. c. per ann., when is the sum due?

6. If I accept £247, 1s. 8d. as present payment for £252, os. 6d., due 4 months hence, what rate per cent. discount do I allow?

7. Find the discount on a bill for £237, 10s., due 4 months hence, at 4 p. c. simple interest. What would be the amount of the error in this case, if interest were taken instead of discount, and in whose favour would it be?

8. Find the present worth of £130, os. 74d., due 9 months hence, and standing in the 4 p. c. at 92.

9. Received to-day (Sept. 29) £456, 10s. for a debt of £490, 14s. 9d., discount 5 p. c. per ann.; when should the debt have been payable without discount?

10. Five volumes of a six-volume work can be bought for a certain sum, payable at the end of a year, and the whole work complete for the same sum in ready money; what is the rate of discount allowed by the bookseller?

11. Possessing a bill for £1336, 11s. 3d., due 3 years hence, discount at the rate of 5 per cent., I realize its present value, and invest in the 3 p. c. standing at 91; what will be my income?

12. From a bill of £3, 11s. 8d., due 18 months hence, a tradesman deducts 5s. for ready-money payment; what is the rate p. c. per ann. at which this discount is calculated?

13. A farmer gave for a horse a bill for £73, due in one month, and sold him at once for a bill for £89, at 4 months; what did he gain per cent., interest being reckoned at 41 per cent. ?

PROFIT AND LOSS.

1. A miller uses for a stone weight one that weighs only 13 lbs. ; what does he gain per cent. by his dishonesty?

2. Cheese bought at 50 shillings per cwt. is sold at 64d. a lb.; what is the gain p. c.?

3. If a man gains 5s. 6d. on goods sold by him for 225., what does he gain per cent.?

4. If 7 hogsheads of wine are worth £105, 4s. 2 d., what shall I gain or lose by exchanging II such hogsheads for 5743 lbs. of sugar, worth 74d. per lb. ?

5. A plumber sold 4 tons 16 cwt. of lead for £109, 2s. 6d., and gained 12 per cent. by the sale; what did the lead cost him per cwt.?

6. I bought sugar at 37s. 6d. per cwt., but lost 10 per cent. in selling it; what was the selling price per cwt.?

7. If by selling tea at 6s. 4d. per lb. a grocer lose 6 per cent., what did it cost him per lb.?

8. Bought 76 yards of muslin at 11s. Sd. per yard, sold it at 14s. 2d. per yard; what was the gain upon the whole?

9. I buy pins 18 in a row, and sell them 11 in a row at the same price; what do I gain per cent. ?

10. Bar iron, which cost in making £41, 13s. 4d. per ton, is sold at a loss of 5 per cent. ; what does it fetch per cwt.?

11. An article which cost 3s. 10d. has to be sold for 3s. 6d.; what is the loss per cent., and what the total loss on 620 such articles?

12. If 15 cwt. I qr. 2 lbs. of sugar be bought for £52, os. 3d., at what price per lb. should it sell to gain 15 per cent.?

13. If tea be bought at £1 per lb., and sold at 'i of a guinea, what is the gain per cent.?

14. What was the cost price of an article which when sold for £90 realized a gain of 20 per cent.?

15. What do I gain or lose per cent. by selling butter at 81d. a lb.. which cost £5, 5s. per cwt.?

16. Selling cheese at £3, 13s. 6d. per cwt., I made a profit of 224 p. c.; what did the cheese cost me per quarter?

17. If I cwt. of an article cost £7, at what price per lb. must it be sold in order to gain 10 per cent. on the outlay?

18. Selling apples at 3 for a penny, I gain 5 p. c.; what do I gain or lose p. c. by selling them at £1 per 1000?

19. If I gained 10 p. c. by selling tea at 2s. 6d. a lb., what did I lose p. c. when I had to sell it at 2s. 3d. per lb.?

20. If a woman's profits are 3125 of her whole receipts, what was the cost price of a lot of eggs for which she receives 145.?

21. For how much must an article be sold, which cost £12, 10s., in order to gain 15 p. c.?

22. If I sell for £25, 4s. articles which cost me 15 guineas, what do I gain p. c.?

23. A woman buys 2 pair of ducks for 7s. 6d., and sells them for 9s. 94d.; what does she gain p. c.?

24. If marbles can be procured wholesale at 5 for a halfpenny, and sold at a farthing each, what is the gain p. c.?

25. How must nutmegs, which cost 18s. 9d. per lb., be sold in order to gain 16 p. c.?

26. A. B. sells a pig to a neighbour for 19s. 3d., gaining thereby 12 p. c. on what he gave for it; how much did he give?

27. If coal is purchased at the pit's mouth for 10s. a ton, and its carriage costs 5s., at what price should it be sold to realize a profit of 25 p. c.?

28. If 5 p. c. be gained by selling butter at £5, 5s. 6d. per cwt., what will be the gain p. c. by selling it at 1s. 3d. per lb.?

29. A man bought 2 tons 3 cwt. 3 qrs. of sugar for £120, and paid £2, 10s. for expenses; what must he sell it at per wt. to clear 50 p. c.?

30. A contractor purchased 5 tons of meat at £3 a cwt., and sold it so as to gain 28 p. c.; what was the selling price per lb. ?

31. By selling an article for £125 I gain 12 p. c. ; what would have been my gain or loss p. c. if I had sold it for £95?

32. I lost 18 p. c. on the sale of a horse for which I had given £118, 15s.; what did I get for him?

33. How many lbs. of tea at 2s. 1d. a lb. must be mixed with 42 lbs. at Is. 8d. a lb., so that the mixture may be worth IS. Iod. a lb. ?

34. A tradesman with a capital of £1620 gains £180 in 10 months; what capital would he have wanted to gain £800 a year, if his rate of profit has been doubled?

35. A tradesman buying goods by means of false scales defrauds 15 p. c., and 15 p. c. again in selling; find his whole gain per cent.

36. If tea be bought at the rate of £24, 10s. for a box containing 1 cwt., and be sold at 3s. 7d. per lb., what is the gain per cent.?

37. What was the cost of printing 500 copies of a book. which sold for 5s. a copy, if the expense of sale was 34 p. c., and the author's profit £37, 15s. on the whole?

38. If 8 p. c. be gained by selling 218 yards of cloth for £92, 135., at what price per yard must it be sold to gain 17 P. c.?

39. I exchange cwt. of sugar at 41d. a lb. for 7 lbs. of tea at 3s. 6d. a lb.; what is my gain or loss p. c.?

40. If a decimal coinage were adopted, and a 'mil' coined equal in value to the 1000th part of £1, what would a tollkeeper lose or gain p. c. who took 4 mils instead of id. for his toll?

41. A contractor bought 342 Exmoor ponies for £4482, 10s.; what average price did they sell for if the contractor gained 14 p. c. on their sale?

42. A wholesale dealer sells to a retailer at 10 p. c. profit, and the retailer to the consumer at 50 p. c. profit, what proportion of the price paid by the consumer is profit?

43. How much money and how much p. c. is lost by selling at 4 d. a lb., 12 cwt. 3 qrs. 16 lbs. of sugar bought at £2, 4s. 4d. per cwt.?

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