**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.

After having gone through the stuff given above, we hope that the students would have understood "Solve percent equations".

Apart from the stuff given above, if you want to know more about "Solve percent equations", please click here

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

Widget is loading comments...