PERCENT OF A NUMBER
PROBLEMS
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Percents into numbers
1.  The student should know the fractional equivalent of the following.
	
		|  1.  a) 50% | 
		 =  | 
		1 2 | 
		  | 
		
		b) 25% | 
		 =  | 
		1 4 | 
		  | 		
		
		c) 75% | 
				 =  | 
		3 4 | 
	
       
       			|  1.  d) 12½% | 
  			 =  | 
			1 8 |      			
       			  | 		
       			
      		 1.  e)  33 | 
           1 3 | 
           % | 
            =  | 
		   1 3 | 
             | 		
           
      		   1.  f)  66 | 
           2 3 | 
           % | 
            =  | 
		   2 3 | 
	
	
		|  1.  g)  10% | 
		 =  | 
		 1  10 | 
		  | 		
		h)  30% | 
		 =  | 
		 3  10 | 
             | 		
           
		i)  70% | 
				 =  | 
				 7  10 | 
             | 	
           
				j)  90% | 
				 =  | 
				 9  10 | 
	
|   | 
	
		|  1.  k)  20% | 
		 =  | 
		1 5 | 
		  | 	
		
		l)  40% | 
		 =  | 
		2 5 | 
		  | 	
		
		m)  60% | 
		 =  | 
		3 5 | 
             | 	
		n)  80% | 
		 =  | 
		4 5 | 
	
2.  Write each of the following as a fraction, or a whole number, or a
2.  mixed number.
	
		|   1.  a)  79% | 
		 =  | 
		 79  100 | 
		  | 
		
		b)  3% | 
		
				 =  | 
				  3   100 | 
		  | 
		
		c)  60% | 
		 =  | 
		3 5 | 
           
           
           
           
					| 2.    d)  100% = 1 | 
			  | 
		  1.  e)  300% = 3 | 
		  | 
		f) 350% | 
		 = 3 | 
		1 2 | 
       
       
		| 2.   g)  375% | 
		 = 3 | 
		3 4 | 
		  | 
		
		h)  333 | 
		1 3 | 
		% = 3 | 
				1 3 | 
		  | 
		
		i)  480% | 
		 = 4 | 
		4 5 | 
	
13.  How much is
 	
 			|   | 
 			a)  75% of $208?  $156 | 
 			  | 
 			
 			b)  250% of $16?  $40 | 
 	
    |   | 
	
 		
 			|   | 
 			c)  325% of 200?  $650 | 
            | 
		d)  75% of $37.60?  $28.20 | 
			
		
    
    |   | 
    
        		|   | 
				
			e)  675% of 400?  $2,700 | 
			  | 
			f)  12.5% of $96.24?  $12.03 | 
    
    |   | 
    
        		|   | 
				g)  30% of $62?  $18.60 | 
			  | 
			h)  40% of $96?  $38.40 | 
			
	
    |   | 
    
			|   | 
			i)  40% of $55?  $22.00 | 
			  | 
			j)  20% of $148?  $29.60 | 
    
  
      |   | 
      
        	|   | 
			k)  20% of $150?  $30.00 | 
			  | 
			l)  70% of $312?  $218.40 | 
    
   
            
14.  Thirds.  How much is
 	
 			|   | 
 			a)  33 | 
 			1 3 | 
 			% of 81?  27 | 
 			  | 
 			
 			b)  66 | 
 			2 3 | 
 			% of 81?  54 | 
 		
	
 |   | 
 	
 			|   | 
 			c)  33 | 
 			1 3 | 
 			% of $32.40?  $10.80 | 
 			  | 
 			
 			d)  66 | 
 			2 3 | 
 			% of $32.40?  $21.60 | 
 		
				
 
15.  Calculator problems.  How much is
 	
 			|   | 
 			a)  33 | 
 			1 3 | 
 			% of $706.14?  $235.38 | 
 			  | 
 			
 			b)  66 | 
 			2 3 | 
 			% of $706.14?  $470.76 | 
 		
	
 |   | 
 	
 			|   | 
 			c)  33 | 
 			1 3 | 
 			% of $91.15?  $30.38 | 
 			  | 
 			
 			d)  66 | 
 			2 3 | 
 			% of $91.15?  $60.77 | 
 		
				
 
Fractional percent
16.  What does ½% mean?  Half of 1%.  
17.  Compare the following.
17. 
a)  Half of $800 = $400 
b)  ½% of $800 = $4.00
1.8.  Calculate mentally from 1%.
18. 
a)  ½% of $1000 = $5.00 
b)  ½% of $900 = $4.50
18. 
c)  ½% of $1200 = $6.00 
d)  ¼% of $1200 = $3.00
18. 
e)  ½% of $840 = $4.20 
f)  ¼% of $840 = $2.10 
18. 
g)  ½% of $1,624 = $8.12 
h)  ¼% of $1624 = $4.06
18. 
i)  10½% of $900 = $94.50 
j)  10¼% of $3200 = $328 
19.  Maria deposited $1,000 in the bank where the interest is 4½% 
19.  annually.  How much interest will she earn?  = $45
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