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2194

ARITHMETIC

EXERCISE 32

1. What per cent of 325 is 25?

2. What per cent of 175 is 125?

3. A lot of land costing $1620 was sold for $1863. What was the gain per cent!

4. I bought a farm for $5500, and paid $1200 for repairs. I sold the farm for $7839. What per cent did I gain!

5. An agent received $1360 for collecting a bill of $8500. What was the rate per cent?

III. To find a number when a percentage of it is given. $450 is 75% of what sum?

A.

600.

.75^)450.00^ 450

00 or

450 =75%

B.

75% = 34 450 = %

450

1 = £ of 450 = 150 1 — 4X150 =600 or

1 50

100% = 100 X TV °f 450 23^FLJI =

8 •4-frtr * 10 0 ___ fiAfl

—— — bUU

Rule. To find a number when a percentage of it is given, divide the given percentage by the rate per cent, expressed either as a decimal or as a common fraction.

EXEECISE 33.

1. 675 T. is 60% of how many tons?

2. 118 bu. is 25% of how many bushels?

3. $75 is |% of what number of dollars?

If 75 = %%, 150 = 1%.

100%, or the whole, = 150 X 100 == $15000.

4. $75 is 16|% less than what amount?

16f % less = 831%.

$75 is 83|% of what amount?

Or $75 = f of what amount ?

5. 1860 yd. are 50% more than what amount of yards?

50% more = 150%.

1860 = 150% of what number!