FINDING PERCENT OF A NUMBER

Find the percent of each number :

Problem 2 :

 85% of 520

Solution :

The word ‘of ’ is translated as ‘multiplication’ in math.

85% of 520 = (85/100) × 520

= 44200/100

= 442

So, 85% of 520 is 442.

Problem 3 :

40% of 85

Solution :

The word ‘of ’ is translated as ‘multiplication’ in math.

40% of 85 = (40/100) × 85

= 3400/100

= 34

So, 40% of 85 is 34.

Problem 4 :

32% of 325

Solution :

The word ‘of ’ is translated as ‘multiplication’ in math.

32% of 325 = (32/100) × 325

= 10400/100

= 104

So, 32% of 325 is 104.

Problem 5 :

2% of 250

Solution :

The word ‘of ’ is translated  as ‘multiplication’ in math.

2% of 250 = (2/100) × 250

= 500/100

= 5

So, 2% of 250 is 5.

Problem 6 :

50% of 104

Solution :

The word ‘of ’ is translated as ‘multiplication’ in math.

50% of 104 = (50/100) × 104

= 5200/100

= 52

So, 50% of 104 is 52.

Problem 7 :

75% of 396

Solution :

The word ‘of ’ is translated as ‘multiplication’ in math.

75% of 396 = (75/100) × 396

= 29700/100

= 297

So, 75% of 396 is 297.

Problem 8 :

90% of 80

Solution :

The word ‘of ’ is translated as ‘multiplication’ in math.

90% of 80 = (90/100) × 80

= 7200/100

= 72

So, 90% of 80 is 72.

Problem 9 :

25% of 64

Solution :

The word ‘of ’ is translated as ‘multiplication’ in math.

25% of 64 = (25/100) × 64

= 1600/100

= 16

So, 25% of 64 is 16.

Problem 10 :

63% of 400

Solution :

The word ‘of ’ is translated as ‘multiplication’ in math.

63% of 400 = (63/100) × 400

= 25200/100

= 252

So, 63% of 400 is 252.

Problem 11 :

Use mental math to find each percent of a number.

a. 20% tip for a $30 meal

b. 18% tip for a $30 meal

Solution :

a)  Cost of the meal = $30

10% of cost of meal = 3

20% of cost of meal = 2(3)

= $6

So, the tip will be $6.

b) 10% of cost of meal = 3

1% of cost of meal = 3/10

= 0.3

2% of cost of meal = 2(0.3)

= 0.6

= 20% - 18%

= 6 - 0.6

= $5.4

So, 18% of tip for a $30 meal is $5.4

Problem 12 :

Find each percent of a number.

a. 6% sales tax on a $20 shirt

b. 9% sales tax on a $20 shirt

Solution :

a.

Cost of shirt = $20

6% of sales tax = 6% of 20

= (6/100) x 20

= 6/5

= 1.2

So, 6% of sales tax is $1.2

b. 

Cost of shirt = $20

9% of sales tax = 9% of 20

= (9/100) x 20

= 9/5

= 1.8

So, 9% of sales tax is 1.8

Problem 13 :

Find each percent of a number.

a. 6% commission on selling a $200,000 house

b. 2% property tax on a $200,000 house

Solution :

a.

Cost of the house = $200,000

6% of commission on the house = 6% of 200,000

= (6/100) x 200,000

= 6 x 2000

= 12000

So, 6% comission on selling the house worth of 200, 000 is $12000.

b.

Cost of the house = $200,000

2% of commission on the house = 2% of 200,000

= (2/100) x 200,000

= 2 x 2000

= 4000

So, 2% comission on selling the house worth of 200, 000 is $4000.

Problem 14 :

How many students went on vacation?

a) 48      b) 96     c) 100    d)  104

Solution :

Number of students survyed = 200

Number of students went for vocation = 48% of 200

= (48/100) x 200

= 48 x 2

= 96

So, number of students went for the vocation is 96. Option b is correct.

Problem 15 :

The bar graph shows the strengths of tornadoes that occurred in Alabama in 2011. What percent of the tornadoes were EF1s?

Solution :

Total number of tornadoes = 36 + 58 + 29 + 13 + 7 + 2

= 145

Number of tornadoes were EF1s = 58

Percentage of tornadoes who were EF1s = (58/145) x 100%

= 0.4 x 100%

= 40%

Problem 16 :

Your friend is bidding online for concert tickets. The current bid is shown. The winning bid is 150% of the current bid. How much is the winning bid?

Solution :

Amount for current bid = $120

Winning bid = 150% of current bid

= 150% of 120

= 1.50 x 120

= 180

So, the winning bid is $180.