Tell whether the number required in problems 1 to 4 is larger

or smaller than the number mentioned:

1. What number increased by 10% of itself equals 55?

2. What number decreased by 40% of itself is equal to 30? 3. 65 is 30% more than what number?

4. After selling 20% of his stock a peddler had 80 oranges. How many had he at first?

5. What number increased by 25% of itself equals 15? 6. What number decreased by 50% of itself equals 30? 7. What number increased by 20% of itself equals 30? 8. What number decreased by 333% of itself equals 40? 9. What number increased by 40% of itself equals 35?

Find the number which when :

10. Increased by 121% of itself equals 18. 11. Decreased by 60% of itself equals 80.

12. Decreased by 75% of itself equals 10. 13. Increased by 100% of itself equals 12. 14. Increased by 200% of itself equals 30.

15. There are 40 pupils in Fred's class. This is 33% more than the number in Ellen's class. How many pupils are there in Ellen's class?

16. 100 pupils were absent from school on Monday. This was more than the number absent on Friday. How many were absent on Friday?

17. Our school register of 2400 pupils is 20% larger than that of the Audubon School. What is the register of the Audubon School?

18. John's wages were increased 25%. He now receives $25 per week. How much did he earn per week before the increase?

19. A newsboy's receipts last week were $12. This was 33% more than the previous week's receipts. What were the receipts of the previous week?

20. The price of butter was increased 50% during the war. If after the increase butter cost 75¢ a pound, how much did it cost before the increase?

21. Find the number which when decreased by 12% of itself equals 28.

22. Mr. Dolan's new automobile cost $1200, or 20% more than his last year's car. How much did his car cost last year?

23. After spending 25% of my money, I had $30 left. How much had I at first?

24. If 40% of Edith's class bought tickets for the entertainment, and 30 pupils did not buy tickets, how many pupils were there in the class?

25. Only 10% of our class did not join the Athletic Association. If 36 pupils of our class belong, how many pupils are there in our class?

26. A man bought a house in the suburbs. He paid 60% of the purchase price in cash and gave a mortgage for the rest, which was $4000. How much did the house cost?

Avoid mistakes by reading the example very carefully, by noting what is required and what is given, and by checking all work.

1. 189 is 35% more than what number?

[With pencil]

2. What number decreased by 14% of itself is equal to 645? 3. What number increased by 32% of itself is equal to 1089? 4. What number diminished by 26% of itself equals 703? 5. What number increased by 35% of itself equals 432? 6. Find the number which when increased by 150% of itself equals $2050.

7. Find the number which equals 1950 when increased by 225% of itself.

8. What number diminished by 31% of itself is equal to $5.52?

9. Mr. Lowe paid his creditor $1384.60 after deducting 8%. What was the amount of the bill?

10. The dimensions of our gymnasium are 20 ft. by 30 ft. The area of the floor is 20% larger than that of our classroom. What is the area of the classroom?

11. Mrs. Simpson went shopping one day. She spent 45% of the money she had in her purse. If she had $11 left, how much had she at first?

12. Find the number which when increased by 6% of itself equals 2650.

13. At a certain sale, trimmed hats were reduced 25% in price. If a certain hat was sold for $12, what was the original price?

14. The school bank had 504 depositors last year. This was an increase of 12% over the previous year. How many depositors were there the previous year?

15. A manufacturer of clothing made 2135 garments this month. This was an increase of 6.75% over last month's output. How many garments were manufactured last month?

16. My gas bill this month was $2.72, which is 15% less than last month's bill. How much was last month's gas bill?

17. In preparing his income tax report for 1920, a man discovered that his profits were 12% less than the previous year's. If his profits in 1920 were $2200, how much were they in 1919?

18. The price of quinine in 1920 was 49¢ an ounce, wholesale. This was an increase of 250% over the price in 1914. What was the 1914 price?

TRADE OR COMMERCIAL DISCOUNT

When something is sold for less than the price stated on the bill or on the price list, we say it is sold at a discount or a reduction in price.

Discount is a deduction made from a debt, price, or bill. As discounts are usually made to tradespeople, we call them trade or commercial discounts.

Wholesalers and manufacturers grant discounts for immediate or cash payments, for payment before or when the bill is due, for large purchases, and because of frequent changes in the market price. They usually publish a list price and then allow a discount" to the trade" (to customers).

purchaser is allowed a discount of 5% if the bill is paid in 30 days. "Terms-7/10" means that a discount of 7% is