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, 10s.? 123. At what rate p. c., simple interest, will £736, 13s. 4d. amount to £885, 16s. 10d. in 4 years? 124. Find the principal which, in 4 years at 4 per cent., will amount to £962. 125. At what rate per cent. per annum should £255, 10s. be lent from April 1st to June 20th to produce £2, 16s. interest? 126. What principal will yield £153 interest in 4 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 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, 2s. 11d. 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 1 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, 15s. for 2 years, at 24 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 4 p. c. per ann.? 17. Find the difference between the simple and compound interest of £150, 15s. for 3 years at 4 per cent. 18. How much more is the compound interest on £41 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 21 years, at 5 p. c. per ann. 20. Compare the simple and compound interest on £415, 10s. for 2 years, at 21 p. c. per ann. 21. What is the difference between the simple and 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, 17s. 6d. ? 25. What sum of money must be invested to amount to £122, 195. 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. the sum. Find 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. 10d. 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. 10368d. in 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, 14s. 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. Ciscount 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 131 lbs. ; what does he gain per cent. by his dishonesty? 2. Cheese bought at 50 shillings per cwt. is sold at 61d. 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. 23d., 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. 8d. 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. 1old. 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 84d. a lb.. which cost £5, 5s. per cwt.? |