# SOLVE PERCENT EQUATIONS

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

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".