53 R. = .. R. 8 S. P. By Formula. By Analysis. 5 5 3, gain. 52 – 5 = 1, gain. 2, gain. Cost, G. 5, it. 100%; 1 C. 20%. Gain, j = 10%. , i 10%. 3. I sold a horse and lost $50, which was 20% of the cost. What was the cost ? By Formula. By Analysis. Loss, 20% $50. 1% $50 = $250. 18 = 1. Cost, 100% = = 520.= $250. 4. I sold wheat at $1.00 per bu., and gained 121% of the cost. What was the cost per bu.? By Analysis. - . , š, gain, = s, selling price. 1+ R. 1+.12} 1.00 2.00 3 $1.00; } = ; $.885 2.25 8.00 $.88%, cost. 5. I sold hay at $10 per ton and lost 10% of the cost. What was the cost of the hay ? By Formula. By Analysis. 10 C. Loss, 10% = To Cost, 18 . 1- R. 1 .10 loss, lo = 10, s. p. 10 $11.11 +. = $10. 1o=118 = . 6. Cost, $10,500; rate, 20%. Gain? Selling price? 7. Cost, $6; rate, 8%. Loss? Selling price? 8. Cost, $8560; selling price, $10,700. Gain? Rate? 9. Gain, $6.30; rate, 14%. Cost? Selling price ? ? 10. Cost, $700; rate, 15%. Gain? Selling price? 11. Selling price, $19; rate, 5%. Loss? Cost? 9 ooloo 9 10 .90 9 12. Selling price, $175; rate, 30%. Loss ? Cost ? 13. Cost 12 cts.; selling price, 10 cts. Loss? Rate? 14. Cost, 93 cts. ; rate, 123%. Gain? Selling price ? 15. Cost, $.75; selling price, $1.00. Gain? Rate? 16. Cost, $1.00; selling price, $1.25. Gain? Rate? 17. Cost, $250; rate, 35%. Loss? Selling price ? 18. Cost, $1.75; selling price, $1.25. Loss? Rate ? 19. Cost, $.06 ; selling price, $.05. Loss? Rate? 20. Gain, $.12; rate, 8%. Cost? Selling price? 21. Gain, 10 cts.; rate, 10%. Cost? Selling price? 22. Selling price, $180; rate, 20%. Cost? Gain ? 23. Selling price, $230; rate, 8%. Gain? Cost? 24. Selling price, $4.561 ; rate, 17%. Loss ? Cost? 25. Selling price, $49.95; loss, $1.05. Loss, % ? Cost? 26. Gain, $47.25; rate, 73%. Selling price? Cost? 27. Loss, $38.46 ; rate, 3%. Cost? Selling price? 28. Cost, $75.52 ; rate, 31 %. Gain? Selling price? 29. Selling price, $24.975 ; loss, $2.025. Rate? Cost? 30. Cost, $1939.50; rate, 5%. Loss? Selling price? was PROBLEMS. 1. A man sold his house at a profit of 15%. If he paid $3000 for it, how much did he get for it? 2. What per cent. is lost by selling tea at $.75 that cost $1.00 ? 3. A man sold a horse at an advance of $75, which a gain of 25%. What was the cost of the horse ? 4. A boot and shoe dealer lost 9% by selling boots at $3.75 a pair. What was the cost of the boots ? 5. What per cent. is gained on goods sold at double their cost? 6. I bought a horse for $500 and sold it for $300. What per cent. did I lose ? 7. The selling price was $30, the gain 25%. What was the cost ? 8. A dry-goods merchant sells goods at 127 cts. above their cost and makes a gain of 8%. Find the cost. 9. By selling a house for $3500 I lose $500. What is my loss per cent. ? 10. How shall I mark goods that cost me $1.00 a yd., then deduct 15% from that mark, and still realize 2% ? 11. I bought 480 barrels of flour at $4.50 a barrel and sold it for $2880. Find the gain per cent. 12. A cargo of flour was bought for $690. For what must it be sold to gain 663% ? 13. I sold tea for 114% of its cost and made a profit of $.97 a lb. What was the selling price ? 14. I paid $30 for a vase. I desire to gain 30% on it, after dropping 40% from the asking price. What price shail I ask? 15. When 4% is lost on cheese sold at 12 cts. a lb., what was the cost? 16. I sold a lot of goods for $200 and thereby gained 15%. Had I sold them for $220, what per cent. would I have gained ? 17. If a wagon was purchased at 20% less than $50, and afterwards sold at 25% more than cost, at what price was it sold? 18. A merchant selling goods at a certain price loses 5% ; but if he had sold them for $20 more he would have gained 3%. What did the goods cost him ? 19. If a merchant sells goods for of their cost, what per cent. does he lose ? 20. I sold a quantity of potatoes for $850 which cost me $970. What per cent. did I lose ? 21. An agent gets a discount of 40% from the retail price а of articles and sells them at the retail price. What is his gain per cent. ? 22. When coal was sold at $4.56} per ton there was a loss of 17%. What was the cost? 23. A druggist gained 300% by retailing quinine at $3.00 per ounce. How much did it cost him per ounce ? 24. A grain dealer sold 1380 bu. of wheat at $1.00 per bu. and lost 8%. What per cent. would he have gained had he sold at $1.20 per bu. ? 25. A drover bought 100 cows at $20 a head. If 20 were killed by accident, for how much must he sell the remainder per head to gain 25% on the cost of the whole number bought? COMMISSION. 1. Commission is the percentage allowed an agent for buying or selling goods or transacting other business. 2. Commission is computed on money collected by him or on money paid out by him. 3. The Collection or the Payment is the Base. 1. Com. = Coll. or Payt. X R. 2. R. Com. 3. Payt. Amount 4. Coll. Difference PROBLEMS. '1. An attorney collects a debt of $500 on a commission of 3%. What is his commission ? By Formula. By Analysis. 100% = $500. 1% = $5. 500 x .03 = $15.00. 3% = $15. 2. A tax collector receives $180 for collecting taxes on a 3% commission. What is the amount collected ? By Formula. By Analysis. Com. Com. Coll. X R. .:. Coll. 3% = $180. R. 1% = $60. $180 Coll. $6000. .03 100% = $6000. 3. Find the value of the goods that can be purchased for $120, if the agent's commission is 5%. By Formula. By Analysis. $420 = the Payment + the Commis- 100%= Payt. sion the Amount. 5%= Com. Amt. 420 105% = $120. Payt. $400, value 1 + R. 1.05 1% = $4. of goods. 100% = $400. 4. An agent sells goods at 21% commission. After deducting his commission, he remits his employer $3763.50. How much money did he collect for the goods sold ? By Formula. By Analysis. $3763.50 = the Collection 100% = Coll. the Commission the 21% Com. Difference. 971% $3763.50. Difference 3763.50 3763.50 Coll. 1% 1- R. 1-.02 971 376350 $3860. .975 973 |