**Solve percent equations :**

Here we are going to see some practice problems on solving percent equations.

**What is percent ?**

Percent (or per cent) means one hundredth. The symbol for percent is %.Therefore, 1% means 1/100 or one hundredth, and 7% means 7/100 or seven hundredths.The words “per cent” actually mean “per hundred” in Latin.

**Example 1 :**

Evaluate 24% of 16

**Solution :**

To evaluate 24% of 16, we have to use the multiplication sign instead of the word "of".

24% = 24/100

24% of 16 = (24/100) x 16

= 384/100

= 3.84

Hence the value of 24% of 16 is 3.84

**Example 2 :**

What percent of 29 is 3?

**Solution :**

**Let "x" be the required percentage**

**x% of 29 = 3**

**(x/100) x 29 = 3**

**29 x/100 = 3**

**x = 3 (100)/29**

**x = 300/29**

**x = 10.3 %**

**Hence 10.3% of 29 is 3.**

**Example 3 :**

Evaluate 17 ÷ 49 % ?

**Solution :**

= 17 ÷ (49/100)

= 17 x (100/49)

**= (1700/49)**

**= 34.69**

**Hence the answer is 34.69.**

**Example 4 :**

Find 8% of 54

**Solution :**

8% of 54 = (8/100) x 54

= 432/100

= 4.32

Hence 8% of 54 is 4.32

**Example 5 :**

What percent of 33.5 is 21?

**Solution :**

Let "x" be the required percentage

x% of 33.5 = 21

(x/100) x 33.5 = 21

33.5x/100 = 21

33.5x = 21(100)

x = 2100/33.5

x = 62.68

Hence 62.68% of 33.5 is 21.

**Example 6 :**

What percent of 10 is 9?

**Solution :**

Let "x" be the required percentage

x% of 10 = 9

(x/100) x 10 = 9

x/10 = 9

x = 9(10)

x = 90

Hence 90% of 10 is 9.

**Example 7 :**

What is 20% of 80?

**Solution :**

20% of 80

= (20/100) x 80

= 80(80)/100

= 6400/100

= 64

Hence 20% of 80 is 64.

**Example 8 :**

What is 20% of 80?

**Solution :**

20% of 80

= (20/100) x 80

= 20(80)/100

= 1600/100

= 16

Hence 20% of 80 is 16.

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