**Percents of numbers and money amounts :**

Here we are going to learn how to find percents of numbers.

Let us look into some example problems to understand the concept.

**Example 1 :**

Find the 20% of $50

**Solution :**

= 2

Hence 20% of 50 is 2.

**Example 2 :**

Find the 50% of $80

**Solution :**

**50% of $80 = (50/100) x 80**

** = (1/2) x 80**

** = 40**

**Hence 50% of $80 is 40.**

**Example 3 :**

Find the 23% of $80

**Solution :**

**50% of $80 = (50/100) x 80**

** = (1/2) x 80**

** = 40**

**Hence 50% of $80 is 40.**

**Example 4 :**

The percent of 20 minutes to 1 hour is

**Solution :**

**Let "x" be the unknown percentage **

**1 hour = 60 minutes**

**x% of 60 minutes = 20**

**(x/100) x 60 = 20**

**(x/10) x 6 = 20**

**6x/10 = 20**

**Multiply by 10 on both sides**

**6x = 20 (10)**

**6x = 200**

**Divide by 6 on both sides**

**x = 200/6**

**x = 100/3 ==> 33 1/3 %**

**Hence ****33 1/3 % of 1 hour is 20 minutes**

**Example 5 :**

In a class of 35 students, 7 students were absent on a particular day. What percentage of the students were absent?

**Solution :**

Total number of students = 35

Number of students absent = 7

percentage of students absent

= (Number of students absent/total number of students) x 100

= (7/35) x 100

= (1/5) x 100

= 20%

Hence 20% of students were absent.

**Example 6 :**

Ram bought 36 mangoes. 5 mangoes were rotten. What is the percentage of the mangoes that were rotten?

**Solution :**

Total number of mangoes = 36

Number of rotten mangoes = 5

percentage of rotten mangoes = (5/36) x 100

= 13.89%

Hence 13.89% of mangoes were rotten out of 36 mangoes.

**Example 7 :**

In a class of 70, 60% are boys. Find the number of boys and girls.

**Solution :**

percentage of boys = 60%

percentage of girls = 40%

Total number of students = 70

Number of boys = 60% of 70

= (60/100) x 70

= 42

Number of girls = 40% of 70

= (40/100) x 70

= 28

**Example 8 :**

In 2010, the population of a town is 1,50,000. If it is increased by 10% in the next year, find the population in 2011.

**Solution :**

Population in 2010 = 150000

Increase in population = (10/100) x 150000

= 15000

Population in 2011 = 150000 + 15000

= 165000

**Example 9 :**

10% of $300 is

**Solution :**

= 10% of $300

= (10/100) x 300

= (1/10) x 300

= 30

Hence 10% of $300 is $30

**Example 10 :**

5% of $150 is

**Solution :**

= 5% of $150

= (5/100) x 150

= (1/20) x 150

= 15/2 ==> $7.5

Hence 5% of $150 is $7.5

After having gone through the stuff given above, we hope that the students would have understood "Percents of numbers and money amounts".

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