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6.
Kamal borrows Rs. 500 from a bank. If the bank charges interest at 6% per annum, how much amount shall he pay after 2 years?
  • A.
    Rs. 560.00
  • C.
    Rs. 572.70
  • B.
    Rs. 561.80
  • D.
    Rs. 512.40
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Answer : [B]
Explanation :
 
Amount = 500   1 + 6   2  
100  
 
= 500   53   2  
50  
 
= 500 x  53 x 53    
50 50    
 
=   2,809    
5    
 
  = 561.80  
 
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7.
The difference between the simple interest and the compound interest on Rs. 60 for 1 year at 10% per annum, reckoned half-yearly is
  • A.
    Rs. 1
  • C.
    Rs. 2
  • B.
    1 1  
    2  
  • D.
    None of these
  • Answer & Explanation
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Answer : [B]
Explanation :
 
  S.I. = 600 x 10 x 1  = Rs. 60.  
100  
 
  C.I. = 600  
  1 + 10  
100 x 2
2x1 - 1    
 
 
  = 600   
  21  
20
2 -1    =
600 x 41
20 x 20
 = Rs. 61.50.    
   
 
     Difference = Rs. (61.50 - 60) = Rs. 1.50.
 
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8.
If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same sum at the same rate and for the same time?
  • A.
    Rs. 51.25
  • C.
    Rs. 54.25
  • B.
    Rs. 52
  • D.
    Rs. 60
  • Answer & Explanation
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Answer : [A]
Explanation :
 
   Sum = Rs.
  50 x 100  
2 x 5
 = Rs. 500.    
 
  Amount = Rs.  
500 x 1 + 5   2
100
   = Rs.
  500 x 21 x 21  
20 20
 = Rs. 551.25
 
   C.I. = Rs. (551.25 - 500) = Rs. 51.25      
 
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9.
What will be the amount if a sum of Rs. 5000 is placed at compound interest for 3 years while rate of interest for the first, second and third years is 2, 3 and 4 percent, respectively?
  • A.
    Rs. 5643.12
  • C.
    Rs. 6413.12
  • B.
    Rs. 5463.12
  • D.
    None of these
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Answer : [B]
Explanation :
 
  Here, P = 5000, R1 = 2, R2 = 3 and R3 = 4.  
 
     Amount after 3 years  
 
  = P
  1 + R1  
100
 
  1 + R2  
100
 
  1 + R3  
100
 
 
  = 5000
  1 + 2  
100
 
  1 + 3  
100
 
  1 + 4  
100
 
 
 
  = 5000 x 51 x 103 x 26      
50 100 25      
 
  = Rs. 5463.12
 
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10.
Simple interest on a sum at 4 % per annum for 2 years is Rs. 80. The compound interest  on the same sum for the same period is
  • A.
    Rs. 81.60
  • C.
    Rs. 1081.60
  • B.
    Rs. 160
  • D.
    None of these
  • Answer & Explanation
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Answer : [A]
Explanation :
 
Principal = Rs.   100 x 80    = Rs. 1000  
4 x 2  
 
 
 
  C.I. = Rs.   1000 x
1 + 4
100
2  - 1000      
       
 
  = Rs. 81.60      
 
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