14. I sold a horse for $81, which was 90% of what it cost me. What did the horse cost me?

Question c, Oral.

1. What part of 45 is 15?

2. What per cent of 45 is 15 ?

3. What per cent of 80 is 60 ?

4. What per cent of 90 is 30 ?

5. $40 is what per cent of $60 ?

6. 12 yd. is what per cent of 36 yd.?
7. 14 bu. is what per cent of 56 bu.?
8. is what per cent of ?

Written.

239. Base and percentage given, to find rate.

9. What per cent of $240 is $80 ?

10. 150 is what per cent of 900 ?

11. What % of a long ton is a short ton?

12. What % of 5 days is 6 hours?

13. 5 cwt. is what % of 3 tons?

of $7040 ?

14. $28.16 is what %

15. What per cent is

of 2?

of? 3 of 74?

16. My salary is $1600 and my expenses $1200. What % of my salary are my expenses?

240. The sum of the base and percentage is called the Amount.

241. The difference between the base and percentage is called the Difference.

1. Find the amount in the following:

How much is 10% of 20?

Find the difference.

22.

2. 20 is what per cent of itself?

3. If 20 is increased by 10% of itself, the amount is What per cent of 20 is 22?

=

?

4. 100% +10%? 1+10%

5. If 20 is diminished by 10% of itself, the difference is 18. What per cent of 20 is 18?

SOLUTION. The base .. 20 is 100% of 20.

7. What number increased by 10% of itself equals 220?

SOLUTION. - Since 220 is 10% more than the required number, 220 is 110% of the required number.

The amount, 220, is now treated as the percentage, and 110% as the rate; and the question becomes, 220 is 110% of what number? (Question b.)

220 1.10 200. Ans.

Amount (1 + rate) = Base.

8. What number diminished by 10% of itself equals 180?

SOLUTION. - Since 180 is 10% less than the required number, 180 is 90% of the required number.

The difference, 180, is now treated as the percentage, and 90% as the rate; and the question becomes, 180 is 90% of what number? (Question b.)

9. What number increased by 25% of itself equals 290 ? 10. What number diminished by 25% of itself equals

11. After selling 20% of his sheep, a farmer had 400 sheep left. How many had he at first?

12. The population of a certain city has increased 12% If it now numbers 56000, what was it at

in two years.
the beginning of the two years?

13. A clerk's salary was increased 61%. If he now receives $850, what was his original salary?

I

14. By selling goods at $630 I lose 12%. What did for them?

pay

15. $580 is 10% less than what number?

16. I sold goods at $450, which was 120% of the cost. What was the cost?

17. After withdrawing 45% of my money from the bank, I still have $1300 on deposit. How much had I in the bank at first?

18. A farmer increased his flock of sheep by 121%, and then had 900. How many had he at first?

19. A man, after spending a month in the Adirondacks, finds that his weight is 210 pounds, which is an increase of 5%. What was his weight before he went to the Adirondacks?

20. A regiment lost 121% of its men in an engagement, and had 560 left. How many men were there before the engagement?

21. A owes C 331% more than he owes B. If he owes C $800, how much does he owe B?

22. 1227.83 is 1% less than what number?

23. is 20% less than what number?

24. A city lot cost $3600, which is 55% less than the cost of the house. What was the cost of the house?

How

25. A farmer raised 1500 bu. of corn, which was 33% less than the number of bushels of wheat raised. many bushels of wheat had he?

26. In the year 1896 a merchant's profits were $1836.24, which was 25% more than his profits of 1895. What were his profits in 1895 ?

242. Oral.

PROFIT AND LOSS.

State the question only.

1. How much is a 10% profit on goods that cost $200 ? 2. I bought goods for $400, and sold them at a loss of 5%. How much did I lose?

3. If I buy goods at $400, and sell them at $600, what per cent profit do I make?

4. If I buy at $400, and sell at $350, what % do I lose?

5. By selling a house for $1600 I gain 33%. What was the cost?

6. John sold his skates for 64 cents, and thereby lost 5%. What did he pay for them?

243. All computations in Profit and Loss come under the rules of Percentage.

The cost corresponds to the base, and the gain or loss is a percentage of the cost.

The selling price is the amount when there is a profit, and the difference when there is a loss.

244. Written.

7. If I buy eggs for 10 cents a doz., and sell them for 12 cents, what per cent do I gain?

8. A grocer bought tea at 18 cents per pound, and sold it at 30 cents per pound. What was the rate of gain?

9. Find the profit on a bicycle that cost $75, and was sold at an advance of 30%.

10. Find the selling price of a horse bought at $88.65, and sold at 31% below cost.

11. Find the rate per cent of loss on a cow bought for $80, and sold for $60.

12. Find the rate per cent profit on a car-load of Cortland wagons sold for $1090, and bought for $1000.

13. Find the cost of a herd of cattle sold at 12% above cost at a profit of $240.

14. A man bought books for $194, and sold them at a gain of 32%. What was the gain?

15. I sold a house and lot that cost $11225 at a loss of 51%. What was the loss?

16. Mr. A., by selling his horse at a profit of 14%, made $32.20. What did the horse cost?

17. By selling sugar at one-half cent per pound profit, a grocer makes ten per cent. What does he get per pound

for his sugar?

18. An agent gained $.09 by selling twine 25% above cost. What did it cost him?

19. Find the cost of cotton sold at 163% above cost at a profit of $211.25.

20. By selling flour at a loss of 14%, a grocer loses $13.45. What was the cost?

21. A farm that cost $2675 was sold for $3745. What was the gain per cent?

22. Hats that cost $43.50 a doz. are sold for $4.50 apiece. What is the rate of gain?

23. By selling boots for $206.40 a merchant gained 20%. What did they cost him?