144. 1. Mr. Arnold has property as follows: A farm of 320 acres valued at $75 per acre. Household goods, watch, etc. valued at $1240. (a) If in the state in which Mr. Arnold lives, property is usually assessed at about one fifth its actual value, and the rate of taxation is from 5 to 6 per cent of the assessed value, about how much money will be required to pay his taxes? (b) If Mr. Arnold's property is assessed at exactly one fifth the above valuation, and if his school tax is 2.3 per cent, how much will he be required to pay toward the support of the schools of his district? (c) If this property is assessed at of the above valuation, and if the entire tax is at the rate of $5.20 on each hundred dollars of assessed value, how much money will be required to pay the taxes? (d) A tax of $5.20 on each hundred dollars of 4% of the actual value, is equivalent to a tax of how much on each hundred dollars of actual value? 2. The assessed valuation of the property of a certain school district is as follows: A tax of 2.1 per cent is levied. If the tax gatherer collects only 95 per cent of this tax, and receives 2 per cent of the amount collected for his services, how much money will thus be secured for school purposes? 3. What is the actual value of my property if on an assessed value equal to one fourth its real value I pay a tax of 5 per cent, amounting to $175.34? 148. 1. In a school there are 810 pupils. The number of girls is to the number of boys as 2 is to 3. How many more boys than girls in the school? 2. A man had 400 sheep in three flocks. In the second flock there were 120 more sheep than in the first. In the third flock there were 20 fewer than in the first. The number of sheep in the third flock was what per cent of the number of sheep in the second flock? 3. To a number I add one half of itself, one fourth of itself, and 80, and have 2600. What is the number? 4. From twice a number I subtract one third the number and 50, and have 1500 remaining. What is the number? 5. A has $620. B has $840. How much money must A give to B so that he may have exactly half as much as B? 6. What number is doubled by adding to itself itself, of itself, of itself, and 13? of 7. One third of a number, plus one fifth of the same number and 10 make 50. What is the number? 8. Divide the number 195 into three such parts that the second shall be 10 more than the first, and the third 10 less than the first. 9. Divide the number 298 into three such parts that the second shall be 15 greater than the first, and the third 16 greater than the second. 10. A man sold a quantity of wood at $4 a cord, and twice as much at $5 a cord. In all he received $350. How many cords of each? 11. One fifth of my money plus one ninth of my money is $1.02 less than one third of my money. How much have I ? 150. 1. When the cost is of the selling price what is the per cent of gain? 2. When the selling price is of the cost what is the per cent of loss? 3. Arthur sells books on commission and receives for his services 40 per cent of the amount of his sales. If the price of the book he sells is $2.40, how many copies must he sell before he will have earned $15? 4. Arthur sold books at the price and upon the terms given in problem 3. collected the pay for them, and remitted to his employers what remained after he had deducted his commission. When he had remitted exactly $24 more than he retained, (a) how many copies had he sold? (b) How much money had he remitted? (c) How much did he retain ? 5. How much cash will settle the following: (a) Bill of $624, 6 % off, and 2% off for cash? (b) Bill of $125.34, 20 and 10 off, and 2 off for cash? (c) Bill of $3428, 50 and 40 and 10 off? (d) Bill of $47.62, 30 and 5 off and 2 off for cash? 6. The value of a stock of goods as estimated by the owner was $9650. These goods were insured for $6500. A fire occurred and the salvage amounted to $1260. The officers of the insurance company insisted that the owner's estimate of the value of the stock was 25 % above its real value. If this contention is at length accepted by the owner, and settlement made in accordance with the facts as stated, how much will the owner receive from the insurance company? 7. I sold goods at a profit of 163 per cent. My sales for one day amounted to $274.40. How much was my profit? 153. 1. Find the interest of $230.60 for 2 yr. 7 mo. 16 da. at 6 %. 2. Find the interest of $ 230.60 for 1 yr. 4 mo. 14 da. at 6 %. 3. Find the interest of $274.28 for 1 yr. 3 mo. 10 da. at 7 %. 4. Find the interest of $274.28 for 1 yr. 8 mo. 20 da. at 7 %. 5. Find the interest of $136.45 for 3 yr. 3 mo. 12 da. at 8%. 6. Find the interest of $136.45 for 2 yr. 8 mo. 18 da. at 8 %. 7. Find the interest of $ 350.42 for 1 yr. 1 mo. 5 da. at 5%. 8. Find the interest of $350.42 for 1 yr. 10 mo. 25 da. at 5 %. 9. Find the interest of $ 546.25 for 2 yr. 9 mo. 8 da. at 6 %. 10. Find the interest of $546.25 for 1 yr. 2 mo. 22 da. at 6 %. 11. Find the interest of $ 432.21 for 3 yr. 4 mo. 17 da. at 7 %. 12. Find the interest of $432.21 for 2 yr. 7 mo. 13 da. at 7 %. 156. Find the time between the dates given below, using fcr this purpose the "better method" as described on page 156 of this book. 13. From March 15, 1902, to August 10, 1903. 14. From January 10, 1902, to September 5, 1904. 160. 1. Find the interest of $375.24 from April 10, 1900, to August 25, 1902, at 6 %. 2. Find the interest of $247.37 from January 15, 1901, to March 20, 1902, at 6 %. 3. Find the interest of $312.25 from October 15, 1902, to June 5, 1904, at 6 %.* 4. Find the interest of $23.20 from August 12, 1902, to September 18, 1904, at 6 %. 5. Find the interest of $125.50 from April 15, 1903, to December 18, 1903, at 6 %. 6. Find the interest of $1250 from March 20, 1902, to January 10, 1903, at 7 %.* 7. Find the interest of $8.34 from December 10, 1900, to May 15, 1901, at 7 %. 8. Find the interest of $54684.50 from February 28, 1903, to March 1, 1903, at 6%.* 9. Find the interest of $3250 from January 1, 1902, to January 1, 1903, at 5%. 10. Find the amount of $145.23 from April 1, 1900, to December 1, 1900, at 5%. 11. Find the amount of $3256 from July 10, 1901, to June 13, 1902, at 7 %. 12. Find the amount of $78.36 from November 12, 1901, to June 1, 1903, at 5 %.* 13. Find the amount of $275.40 from July 1, 1903, to February 1, 1904, at 7 %. 14. Find the amount of $1000 from May 12, 1903, to December 21, 1903, at 5 %. * Find the time by the "better method" described in section 247, on page 156 of this book. |