Applying the percent equation: Problem type 1 Online Quiz

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Questions and Answers
Q 1 - 72 is what percent of 80?

Answer : A

Explanation

Step 1:

Part = 72; whole = 80

Step 2:

Percentage = $\frac{72}{80} \times 100 = 90\%$

Step 3:

So, 72 is 90% of 80

Q 2 - 60% of what is 84?

Answer : C

Explanation

Step 1:

Let the unknown variable be x

60% of x is 84

So 60% × x = 84; 0.6x = 84

Step 2:

Dividing both sides by 0.6

$\frac{0.6x}{0.6} = x = \frac{84}{0.6} = 140$

Step 3:

So, 60% of 140 is 84

Q 3 - 32% of what is 96?

Answer : B

Explanation

Step 1:

Let the unknown variable be x

32% of x is 96

So 32% × x = 96; 0.32x = 96

Step 2:

Dividing both sides by 0.32

$\frac{0.32x}{0.32} = x = \frac{96}{0.32} = 300$

Step 3:

So, 32% of 300 is 96

Q 4 - 54 is what percent of 162?

Answer : D

Explanation

Step 1:

Part = 54; whole = 162

Step 2:

Percentage = $\frac{54}{162} \times 100 = 33.33\%$

Step 3:

So, 54 is 33.33% of 162

Q 5 - 48 is what percent of 192?

Answer : B

Explanation

Step 1:

Part = 48; whole = 192

Step 2:

Percentage = $\frac{48}{192} \times 100 = 25\%$

Step 3:

So, 48 is 25% of 192

Q 6 - 25% of what is 118?

Answer : C

Explanation

Step 1:

Let the unknown variable be x

25% of x is 118

So 25% × x = 118; 0.25x = 118

Step 2:

Dividing both sides by 0.25

$\frac{0.25x}{0.25} = x = \frac{118}{0.25} = 472$

Step 3:

So, 25% of 472 is 118

Q 7 - 38% of what is 57?

Answer : D

Explanation

Step 1:

Let the unknown variable be x

38% of x is 57

So 38% × x = 57; 0.38x = 57

Step 2:

Dividing both sides by 0.38

$\frac{0.38x}{0.38} = x = \frac{57}{0.38} = 150$

Step 3:

So, 38% of 150 is 57

Q 8 - 21 is what percent of 70?

Answer : A

Explanation

Step 1:

Part = 21; whole = 70

Step 2:

Percentage = $\frac{21}{70} \times 100 = 30\%$

Step 3:

So, 21 is 30% of 70

Q 9 - 60% of what is 126?

Answer : C

Explanation

Step 1:

Let the unknown variable be x

60% of x is 126

So 60% × x = 126; 0.6x = 126

Step 2:

Dividing both sides by 0.6

$\frac{0.6x}{0.6} = x = \frac{126}{0.6} = 210$

Step 3:

So, 60% of 210 is 126

Q 10 - 48 is what percent of 200?

Answer : D

Explanation

Step 1:

Part = 48; whole = 200

Step 2:

Percentage = $\frac{48}{200} \times 100 = 24\%$

Step 3:

So, 48 is 24% of 200

applying_the_percent_equation_problem_type_1.htm
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