Examples with solutions for Quantity, percentage, percentage value: The Whole number is Not Easily Divisible by 100

Exercise #1

Calculate 2% of 60:

Video Solution

Step-by-Step Solution

To calculate 2% of 60, follow these steps:

  • Step 1: Use the percentage formula: Percentage value=p100×W\text{Percentage value} = \frac{p}{100} \times W.
  • Step 2: Substitute the given values: Here, p=2p = 2 and W=60W = 60.
  • Step 3: Perform the calculation: 2100×60=0.02×60\frac{2}{100} \times 60 = 0.02 \times 60.
  • Step 4: Multiply: 0.02×60=1.20.02 \times 60 = 1.2.

Therefore, 2% of 60 is 1.21.2.

The correct choice from the provided options is :

1.2

.

Answer

1.2

Exercise #2

Calculate 42% of 15:

Video Solution

Step-by-Step Solution

To solve the exercise, will begin by converting the percentage into a fraction:

42%=42100 42\%=\frac{42}{100}

We will then proceed to multiply the fraction by 15

15×42100= 15\times\frac{42}{100}=

In order to simplify this operation let's break down the 15 from the multiplication exercise as well as the 100 in the denominator for the multiplication exercise:

3×5×425×20 3\times5\times\frac{42}{5\times20}

Take note that the five in both exercises can be reduced:

3×4220=3×(2×21)2×10 3\times\frac{42}{20}=\frac{3\times(2\times21)}{2\times10}

Furthermore we can also reduce the 2 in the numerator and the denominator:

3×2110=6310=6.3 \frac{3\times21}{10}=\frac{63}{10}=6.3

Answer

6.3

Exercise #3

Calculate 30% of 80:

Video Solution

Step-by-Step Solution

To solve the problem of finding 30% of 80, we will use these steps:

  • Step 1: Convert the percentage to a decimal form by dividing it by 100. So, 30% 30\% becomes 30100=0.3 \frac{30}{100} = 0.3 .
  • Step 2: Multiply the decimal form by the whole number:
    0.3×80 0.3 \times 80 .
  • Step 3: Calculate the result of the multiplication:
    0.3×80=24 0.3 \times 80 = 24 .

Thus, 30% of 80 is 24 24 .

Answer

24

Exercise #4

Calculate 5% of 70:

Video Solution

Step-by-Step Solution

To solve this problem, let's use the given information and apply the percentage formula:

  • Step 1: Identify the given values:
    • p=5% p = 5\%
    • x=70 x = 70
  • Step 2: Apply the percentage formula:

According to the formula, to find 5% 5\% of 70 70 , compute 5100×70\frac{5}{100} \times 70.

Step 3: Calculate the result:

  • First, convert 5%5\% to a decimal: 5100=0.05\frac{5}{100} = 0.05.
  • Next, multiply this decimal by 70: 0.05×70=3.50.05 \times 70 = 3.5.

Therefore, 5%5\% of 7070 is 3.5 \mathbf{3.5} .

Matching this result with the provided choices, 3.5 corresponds with choice 4.

Answer

3.5

Exercise #5

Calculate 1% of 30:

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Convert the given percentage to a fraction.
  • Multiply this fraction by the whole number.

Let's work through the solution:

Step 1: Convert 1% into a fraction:

The fraction for 1% is 1100\frac{1}{100}.

Step 2: Multiply the fraction by the whole number:

1100×30=0.3\frac{1}{100} \times 30 = 0.3

Therefore, the value of 1% of 30 is 0.3\boxed{0.3}.

Among the provided options, the correct choice corresponding to 1% of 30 is 0.30.3, which matches Choice 3.

Answer

0.3

Exercise #6

Calculate 20% of 60:

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Convert the given percentage to a decimal.
  • Step 2: Multiply the decimal value by the whole number given.

Now, let's work through each step:
Step 1: The percentage given is 20%. To convert this percentage to a decimal, divide by 100: 20100=0.2\frac{20}{100} = 0.2.
Step 2: We need to find 20% of 60. Multiply 0.2 by 60:
0.2×60=120.2 \times 60 = 12

Therefore, 20% of 60 is 1212.

Comparing with the given choices, the correct answer matches choice 4, which is 12.

Answer

12

Exercise #7

Calculate 25% of 80:

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Convert the percentage (25%) to a decimal.
  • Step 2: Multiply the decimal by the whole number (80).
  • Step 3: Calculate the result.

Now, let's work through each step:
Step 1: Convert 25% to a decimal. To do this, divide by 100:
25100=0.25 \frac{25}{100} = 0.25
Step 2: Multiply the decimal by the whole number:
0.25×80 0.25 \times 80
Step 3: Perform the multiplication:
0.25×80=20 0.25 \times 80 = 20

Therefore, the solution to the problem is 20 20 .

Answer

20

Exercise #8

Calculate 7% of 70:

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Convert the percentage to a decimal by dividing by 100.
  • Step 2: Multiply the decimal by the whole number.

Now, let's work through each step:
Step 1: Convert 7% 7\% to a decimal. 7100=0.07 \frac{7}{100} = 0.07 .
Step 2: Multiply 0.07 by 70: 0.07×70=4.9 0.07 \times 70 = 4.9 .

Therefore, the solution to the problem is 4.9 4.9 , which matches choice 1.

Answer

4.9

Exercise #9

Calculate 70% of 90:

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Convert the percentage to a decimal.
  • Step 2: Multiply the decimal by the whole number.

Now, let's work through each step:
Step 1: Convert 70% to a decimal by dividing it by 100:
70100=0.7 \frac{70}{100} = 0.7

Step 2: Multiply the decimal by the whole number 90:
0.7×90=63 0.7 \times 90 = 63

Therefore, the solution to the problem is 63 63 .

Answer

63

Exercise #10

Calculate 7% of 90:

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Convert the percentage to a decimal.
  • Step 2: Multiply the decimal by the whole number.

Now, let's work through each step:
Step 1: To convert the percentage 7% to a decimal, divide by 100. Thus, 7%=7100=0.07 7\% = \frac{7}{100} = 0.07 .
Step 2: Multiply the decimal 0.07 by the whole number 90. Therefore, 0.07×90=6.3 0.07 \times 90 = 6.3 .

Therefore, the solution to the problem is 6.3 6.3 .

Answer

6.3

Exercise #11

Calculate 70% of 90:

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Convert the percentage to a fraction.
  • Step 2: Multiply the fraction by the whole number.
  • Step 3: Simplify the result to find the final answer.

Now, let's work through each step:

Step 1: Convert 70% to a fraction. 70% is equal to 70100\frac{70}{100}, which simplifies further to 710\frac{7}{10}.

Step 2: Multiply the fraction by the whole number 90. We calculate:

710×90=7×9010=63010\frac{7}{10} \times 90 = \frac{7 \times 90}{10} = \frac{630}{10}.

Step 3: Simplify 63010\frac{630}{10}:

The numerator 630 divided by the denominator 10 gives us 63.

Therefore, the solution to the problem is 63.

Answer

63

Exercise #12

Calculate 4% of 70:

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information.
  • Step 2: Apply the percentage formula.
  • Step 3: Perform the necessary calculations.

Let's work through these steps:

Step 1: Identify the given information.

We are given that we need to calculate 4% of 70.

Step 2: Apply the percentage formula.

The formula to find the percentage of a number is:
Percentage value=(Percentage100)×Whole number \text{Percentage value} = \left( \frac{\text{Percentage}}{100} \right) \times \text{Whole number}

Plugging in the values, we have:
4% of 70 = (4100)×70 \left( \frac{4}{100} \right) \times 70

Step 3: Perform the necessary calculations.

First, convert 4% to a decimal: 4100=0.04 \frac{4}{100} = 0.04 .
Then multiply by the whole number:
0.04×70=2.8 0.04 \times 70 = 2.8

Therefore, the solution to the problem is 2.8 2.8 .

Answer

2.8

Exercise #13

Calculate 30% of 60:

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given percentage and whole number.
  • Step 2: Convert the percentage into a fraction.
  • Step 3: Multiply the fraction by the whole number.

Now, let's work through each step:
Step 1: We are given a percentage of 30% and a whole number of 60.
Step 2: Convert 30% to a fraction: 30100\frac{30}{100}.
Step 3: Multiply the fraction by 60: 30100×60\frac{30}{100} \times 60.

Performing the calculation, we get:

30100×60=0.3×60=18\frac{30}{100} \times 60 = 0.3 \times 60 = 18.

Thus, 30% of 60 is 18 \textbf{18} .

Answer

18

Exercise #14

Calculate 10% of 60:

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the percentage rate and the whole number given.
  • Step 2: Use the formula for percentage calculation.
  • Step 3: Perform the calculation to find the solution.

Here's a detailed explanation of each step:
Step 1: We are asked to find 10% of 60. The percentage rate is 10%, and the whole number is 60.
Step 2: We use the formula: percentage value=percentage rate100×whole number\text{percentage value} = \frac{\text{percentage rate}}{100} \times \text{whole number}.
Step 3: We convert 10% to a decimal by calculating 10100=0.1\frac{10}{100} = 0.1. Then, multiply this value by 60: 0.1×60=6 0.1 \times 60 = 6

Therefore, the solution to the problem is 6\mathbf{6}.

Answer

6

Exercise #15

Calculate 3% of 60:

Video Solution

Step-by-Step Solution

To solve this problem, we'll use the following steps:

  • Convert the percentage to a decimal.
  • Multiply this decimal by the given number.
  • Report the result as the percentage value of the number.

Let's apply these steps to our problem:

Step 1: Convert the percentage.

The percentage given is 3%. We convert this to a decimal by dividing by 100: 3100=0.03 \frac{3}{100} = 0.03 .

Step 2: Multiply by the total number.

We multiply this decimal by the number 60 to find the percentage of the total:

0.03×60=1.8 0.03 \times 60 = 1.8 .

Thus, 3% of 60 is 1.8 1.8 .

Answer

1.8

Exercise #16

Calculate 20% of 60:

Video Solution

Step-by-Step Solution

To solve this problem, we'll use the standard formula for finding a percentage of a given number:

  • Step 1: Identify the values needed for the formula. Here, the percentage is 20%20\% and the total is 6060.
  • Step 2: Write the formula to calculate the percentage of the total. The formula is:
Percentage value=percentage100×total \text{Percentage value} = \frac{\text{percentage}}{100} \times \text{total}

Step 3: Plug in the values into the formula:

Percentage value=20100×60 \text{Percentage value} = \frac{20}{100} \times 60

Step 4: Simplify the calculation:

Percentage value=0.2×60 \text{Percentage value} = 0.2 \times 60 Percentage value=12 \text{Percentage value} = 12

Therefore, 20% of 60 is 12.

Answer

12

Exercise #17

Calculate 30% of 90:

Video Solution

Step-by-Step Solution

To solve this problem, we will determine 30% of 90 using the percentage formula. Here's how we'll do it:

  • Step 1: Identify the necessary formula for the calculation.
  • Step 2: Substitute the values into the formula and compute.
  • Step 3: Verify the result and match it with the answer choices.

Now, let's proceed through these steps:

Step 1: The formula for calculating a percentage of a number is given as:
Percentage Value=(x100)×Total \text{Percentage Value} = \left( \frac{x}{100} \right) \times \text{Total}

Step 2: Substitute the given values into the formula.
Here, x=30 x = 30 and Total=90\text{Total} = 90. Thus, the formula becomes:
Percentage Value=(30100)×90 \text{Percentage Value} = \left( \frac{30}{100} \right) \times 90 .

Step 3: Compute the expression.
First, calculate 30100=0.3\frac{30}{100} = 0.3 .
Then multiply by 90:
0.3×90=27 0.3 \times 90 = 27 .

Therefore, 30% of 90 is 27 27 .

Answer

27

Exercise #18

Calculate 40% of 70:

Video Solution

Step-by-Step Solution

To solve this problem, we will follow these steps:

  • Step 1: Convert the percentage to a decimal.
  • Step 2: Multiply the resulting decimal by the whole number to find the desired quantity.

Now, let's work through these steps in detail:

Step 1: Convert the percentage to a decimal form.
The given percentage is 40%. As a decimal, 40% is converted by dividing by 100:
40100=0.4\frac{40}{100} = 0.4.

Step 2: Multiply the decimal by the whole number.
We now multiply the decimal 0.40.4 with the whole number 7070:
0.4×70=280.4 \times 70 = 28.

Therefore, 40% of 70 is 2828.

Answer

28