## Percentage Questions - 1

20% of 400 + 15% of 300 =
• 140
• 125
• 100
• 145
• 200
Explanation

20% of 400 = 400 $\displaystyle \times \frac{20}{100}$ = 80 + 15% of 300 = 300 $\displaystyle \times \frac{15}{100}$ = 45.

= 80 + 45 = 125.

Workspace
480% of 40 + 250% of 25 =
• 240
• 250
• 254.5
• 262.5
• 285
Explanation

480% of 40 = 40 $\displaystyle \times \frac{480}{100}$ = 192 + 250% of 25 = 25 $\displaystyle \times \frac{250}{100}$ = 62.5

192 + 62.5 = 254.5

Workspace
30% of 800 + 40% of ? = 300
• 200
• 300
• 250
• 150
• 180
Explanation

30% of 800 = 800 $\displaystyle \times \frac{30}{100}$ = 240 => 300 â€“ 240 = 60.

40% = 60 => $\displaystyle \frac{60}{40} \times$ 100 = 150.

Workspace
40% of 40% of 500 is ?
• 40
• 120
• 124
• 88
• 80
Explanation

500 $\displaystyle \times \frac{40}{100} = 200 \times \frac{40}{100}$ = 80.

Workspace
22% of 400 Ã· 10% 660
• 1.33
• 2
• 1 $\displaystyle \frac{1}{2}$
• 4
• 2 $\displaystyle \frac{2}{3}$
Explanation

400 $\displaystyle \times \frac{22}{100} = 88 => 660 \times \frac{10}{100}$ = 66

88 Ã· 66 = 1.33

Workspace
45% of 300 - 18% of 250 =
• 120
• 130
• 68
• 90
• 123
Explanation

300 $\displaystyle \times \frac{45}{100} = 135 - 250 \times \frac{18}{100}$ = 45 = > 135 â€“ 45 = 90.

Workspace
128% of 1340 + 159.8% of 4998.2 - 69.88% of 5499 = [approx.]
• 5400
• 5860
• 5473
• 3898
• 5726
Explanation

Round off to the nearest values.

1340 $\displaystyle \times \frac{128}{100} = 1715 + 4998.2 \times \frac{159.8}{100} = 7987 = 9702 â€“ 5499 \times \frac{69.88}{100}$ = 3842.

9702 â€“ 3842 = 5860 [approx.]

Workspace
39% of 486 + ? = 486
• 306.46
• 301.46
• 296.46
• 298.46
• 300.46
Explanation

486 (40 - 1) = 194.40 - 4.86 = 189.54.

486 â€“ 189.54 = 296.46 [or] 486 $\displaystyle \times \frac{61}{100}$ = 296.46.

Workspace
What percent of 1240 is equal to 1488 ?
• 130%
• 132%
• 124%
• 120%
• 128%
Explanation

$\displaystyle \frac{1488}{1240} \times$ 100 = 120%.

Workspace
30% of x = 330, then 125% of x =
• 1375
• 1300
• 1320
• 1380
• 1345
Explanation

$\displaystyle \frac{330}{30} \times$ 125 = 1375.

Workspace

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## Percentage Formulas

Every number is 100% of its own value, Ex: 1 is 100% of its own value.

Procedure to find percentage: Ex: "a" is what percent of "b" = b x $\displaystyle \frac{a}{100} = \frac{ab}{100}$.

Fractions can also be expressed as percentages: Ex: A fraction $\displaystyle \frac{6}{5}$ can be expressed in percentage as = $\displaystyle \frac{6}{5} \times 100$ = 120%.

### Important fractions:

$\displaystyle \frac{1}{1}$ = 100%

$\displaystyle \frac{1}{2}$ = 50%

$\displaystyle \frac{1}{3}$ = 33.33%

$\displaystyle \frac{1}{4}$ = 25%

$\displaystyle \frac{1}{5}$ = 20%

$\displaystyle \frac{1}{6}$ = 16.66%

$\displaystyle \frac{1}{7}$ = 14.285%

$\displaystyle \frac{1}{8}$ = 12.5%

$\displaystyle \frac{1}{10}$ = 10%

$\displaystyle \frac{1}{12}$ = 8.33%

$\displaystyle \frac{2}{5}$ = 40%

$\displaystyle \frac{2}{3}$ = 66.66%

$\displaystyle \frac{3}{4}$ = 75%

$\displaystyle \frac{3}{5}$ = 60%

$\displaystyle \frac{4}{5}$ = 80%

$\displaystyle \frac{5}{4}$ = 125%

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