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26.
If the simple interest on a certain sum of money is 4/25th of the sum and the rate percent equals the number of years, then the rate of interest per annum is
  • A.
    2%
  • C.
    4%
  • B.
    14%
  • D.
    None of these
  • Answer & Explanation
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Answer : [C]
Explanation :
Let the principal be Rs. x, then the simple interest (I) = 4  x.  
25  
Let the rate of interest per annum be r% then time (T) = r years
 
          100 x 4  x  
 
 R = 100 x I
 
 r = 25  
P x T x x r  
 
 
 
 r2 = 400 or r = 20  = 4%
25 5
 
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27.
If simple interest on a certain sum of money for 4 years at 5% per annum is same as the simple interest on Rs. 560 for 10 years at the rate of 4% per annum then the sum of money is
  • A.
    Rs. 1190
  • C.
    Rs. 1210
  • B.
    Rs. 1120
  • D.
    None of these
  • Answer & Explanation
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Answer : [B]
Explanation :
 
Le the required sum of money be Rs. x.
 
Here R1 = 5%, T1 = 4 years, R2 = 4%, T2 = 10 years.
 
Given: x : 560 = 1 : 1 = 1 : 1          
R1T1 R2T2 5 x 4 4 x 10          
 
  x = 2  or, x = Rs. 1120.    
560 1    
 
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28.
A sum of Rs. 2600 is lent out in two parts in such a way that the interest on one part at 10% for 5 years is equal to that on another at 9% for 6 years. The sum lent out at 10% is :
  • A.
    Rs. 1150
  • C.
    Rs. 1350
  • B.
    Rs. 1250
  • D.
    Rs. 1450
  • Answer & Explanation
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Answer : [C]
Explanation :
 
Let the sum lent at 10% be Rs. x and that lent at 9% be Rs. (2600 - x). Then,
 
  x x 10 x 5   = (2600 - x) x 9 x 6    
100 100    
 
   50x = (2600 x 54) - 54x    
 
 x =   2600 x 54    = 1350.  
104  
 
   Sum lent at 10% = Rs. 1350  
 
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29.
At what rate percent per annum will the simple interest on a sum of money be
2  of the amount in 10 years ?    
5    
  • A.
    4%
  • C.
    6    		 2 %
    3
  • B.
    5    		 2 %
    3
  • D.
    6%
  • Answer & Explanation
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Answer : [A]
Explanation :
 
Let sum = x. Then, S.I. = 2x , Time = 10 years.  
5  
 
 
 Rate =   100 x 2x   % = 4%.  
x x 5 x 10  
 
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30.
A man took a loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was :
  • A.
    Rs. 2000
  • C.
    Rs. 15,000
  • B.
    Rs. 10,000
  • D.
    Rs. 20,000
  • Answer & Explanation
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Answer : [C]
Explanation :
 
  Principal = Rs.   100 x 5400    = Rs. 15000      
12 x 3      
 
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