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 41 years ? 124. Find the principal which, in 43 years at 45 per cent., will amount to £962. 125. At what rate per cent. per annum should £255, 10s. be lent from April 1st to June 2oth to produce £2, 16s. interest? 126. What principal will yield £153 interest in 43 years at 4. 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, Ios. for 3 years, at 4 p. c. per ann. 7. Find the compound interest and amount of £49,000 for 34 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. id. 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. ? > 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. o£d. in 33 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, 155. for 33 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, 165. 10£d. in two years ? 34. In what time will £ 2675, 4s. 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. 10'368d. in 21 years? 36. If the compound interest of £250 for 2 years be £20, 8s., 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, 45. ; 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 43 p. c. per ann., when is the sum due ? 6. If I accept £247, Is. 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, ios., 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. 7!d., due 9 months hence, and standing in the 4 p. c. at 92. 9. Received to-day (Sept. 29) £456, 1os. for a debt of £490, 145. 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, IIS. 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. ? а 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 6!d. 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, 45. 2{d., what shall I gain or lose by exchanging in such hogsheads for 5743 lbs. of sugar, worth.71d. per lb. ? 5. A plumber sold 4 tons 16 cwt. of lead for £109, 25. 6d., and gained 121 per cent. by the sale ; what did the lead cost him per cwt. ? 6. I bought sugar at 375. 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 iis. 8d. per yard, sold it at 145. 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, 135. 4d. per ton, is sold at a loss of 5 per cent. ; what does it fetch per cwt. ? 11. An article which cost 35. 10ld. 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 £'i 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 8.1d. a lb., which cost £5, 5s. per cwt. ? |