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1. A merchant bought sugar in New York at $.061 per pound. The wastage by transportation and retailing was 5%, and the interest on the first cost to the time of sale was 2%. How much must he ask per pound to gain 25%? Ans. $.081+.
2. A man purchased 2 lots of land for $200 each, and sold one at 40% more than cost, and the other at 20% less. What was his gain? Ans. $40.
3. I sold goods on 6 months' credit to the amount of $425, which was $25 more than the goods cost. What was the true profit, money being worth 6% ?
4. I bought cotton cloth at 13 cents a yard, on 8 months' credit, and sold it the same day at 12 cents cash. What per cent did I gain or lose, money being worth 6% ?
5. A farmer sold a pair of horses for $150 each; on one he gained 25%, on the other he lost 25%. Did he gain or lose on both, and how much? Ans. Lost $20.
6. A man invested of all his fortune in the coal trade, and at the end of 2 years 8 months sold out his entire interest for $3100, which was a yearly gain of 9% on the money invested. How much was he worth when he commenced trade? Ans. $3750.
7. In how many years will a man, paying interest at 7% on a debt for land, pay the face of the debt in interest? Ans. 14 years. 8. Two persons engaged in trade: A furnished § of the capital, and B ; and at the end of 3 years 4 months they found they had made a clear profit of $5000, which was 121% per annum on the money invested. How much capital did each furnish? Ans. A, $7500; B, $4500.
9. I bought $500 worth of dry goods, and $ 800 worth of groceries; on the dry goods I lost 20%, but on the groceries I gained 15%. Did I gain or lose on the whole investment, and how much? Ans. Gained $20. 10. What amount of accounts must an attorney collect in order to pay over $1100, and retain 81% for collecting? Ans. $1200.
11. A merchant sold goods to the amount of $667, to be paid in 8 months; the same goods cost him $600 one year previous to their sale. Money being worth 6%, what was his true gain? Ans. $5.346 +. 12. A nurseryman sold trees at $18 per hundred, and cleared of his receipts. What per cent profit did he Ans. 50%. 13. If of an article is sold for what ğ of it cost, what is the gain per cent? Ans. 405%.
14. A lumber merchant sells a lot of lumber, which he has had on hand 6 months, on 10 months' credit, at an advance of 30% on the first cost. If he is paying 5% interest on capital, what is the profits?
per cent of his Ans. 213%.
15. A person, owning of a piece of property, sold 20% of his share. What part did he then own?
of this for 728
16. A speculator, having money in the bank, drew 60% of it, and expended 30% of 50% bushels of wheat, at $1.123 per bushel. left in the bank?
How much was
17. A's money is 28% more than B's. per cent is B's less than A's?
18. I pay $12 for an insurance of $800; what is the
rate of premium?
19. What is the amount of $350.50 for 2 yr. at 7 per cent?
20. On the first day of January, 1892, a man gave 3 notes, the first for $500 payable in 30 days; the second for $400 payable in 60 days; the third for $600 payable in 90 days. What was the average term of credit, and what the equated time of payment? Ans. Term credit 62 da.; March 3, 1892. 21. What will be the duty at 15% on 1200 lb. of tapioca, invoiced at 5 cents per pound? Ans. $9.90. 22. How much should be discounted for the present payment of a note for $429.986, due in 1 yr. 6 mo. 1 da., money being worth 51% ? Ans. $32.826. 23. A draft on Philadelphia cost £ 125 in Birmingham, Eng., exchange selling for 4.855; what was the face of the draft? Ans. $606.875. 24. In a certain district the school was supported by a rate bill; the teacher's wages amounted to $200, the fuel and other expenses to $75.57; the public money received was $98, and the whole number of days' attendance was 3946. . A sent 2 pupils 118 days each. How much was his rate bill? Ans. $10.62.
25. A man, receiving a legacy of $48000, invested one half in 5% stock at 95%, and the other half in 6% stock at 112%, paying brokerage at 1%. What annual income did he secure from his legacy? Ans. $2530.
26. What per cent of his money will a man obtain by investing in 6% stock at 108% ? Ans. 55%.
27. What must be paid in Philadelphia for a draft on St. Paul, drawn at 90 days, for $4800, the course of exchange being 1013% ? Ans. $4791.60.
28. A miller having 720 barrels of flour, sold 288 barrels. What per cent of his stock remained unsold?
29. An agent sold my house and lot for $8600. What was his commission at 21% ? Ans. $193.50.
30. A speculator received $3290 as the net proceeds of a sale, after allowing a commission of 6%. What was the value of the property? Ans. $3500.
31. A wool grower sold 3150 head of sheep, and had 30% of his original flock left. How many sheep had he at first?
32. A young man having received a fortune, deposited 80% of it in a bank. He afterward drew 20% of his deposit, and then had $5760 in bank. What was his entire fortune?
33. In a certain county, containing 25482 taxable inhabitants, a tax of $103294.60 is assessed for town, county, and state purposes; a part of this sum is raised by a tax of 30 cents on each poll; the entire valuation of property on the assessment roll is $38260000. What per cent is the tax, and how much will a person's tax be who pays for 3 polls, and whose property is valued at $9470? Ans. to last, $24.575.
34. A had $6000 in a bank. He drew out 25% of it, then 30% of the remainder, and afterward deposited 10% of what he had drawn. How much had he then in bank? Ans. $3435. 35. What sum will produce $12 interest in 10 days, at 10% ? Ans. $4500. 36. My agent bought for me 120 shares of N. Y. Central railroad stock, paying 80%, and charging brokerage at 1%. What did the stock cost me? Ans. $9750. 37. What will $250 amount to in 3 years at 7% compound interest? Ans. $306.26. 38. How many shares of stock must be sold at 4% discount, brokerage %, to realize $4775? Ans. 50.
39. If a merchant wishes to draw $5000 at a bank, for what sum must he give his note at 90 days, discounting at 6% ? Ans. $5078.72.
364. Ratio is the relation between two numbers of the same unit value expressed by the quotient of the first divided by the second.
Thus, the ratio of 8 to 4 is 8 ÷ 4 , etc.
2; the ratio of 6 to 9, 6 ÷ 9
365. The Sign of ratio is the colon (:). Thus, the ratio of 4 to 5 may be expressed 4 : 5.
366. Ratio may also be expressed in the form of a fraction.
Thus, the ratio of 4 to 9 may be expressed by 3, or by .444 = 443%; of 9 to 4 by = 212.25 225%
367. The Terms of a ratio are the two numbers compared.
368. The Antecedent is the first term, or the dividend.
369. The Consequent is the second term, or the divisor.
370. The two terms together form a Couplet.
371. The Value of a ratio is the quotient of the antecedent divided by the consequent, and is an abstract number.
Thus, in the ratio $24: $6, $24 is the antecedent, $6 is the consequent, and 4, the quotient of $24 $6, is the value of the ratio.