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11.
On what sum will the compound interest for 2 1  years at 10% amount to Rs. 6352.50?  
2  
  • A.
    Rs. 7000
  • C.
    Rs. 5000
  • B.
    Rs. 8000
  • D.
    None of these
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Answer : [C]
Explanation :
 
We have, 6352.50 = P
  1 + 10  
100
2
 
 
  1  x 10
1 + 2
100
 
 
 
= P
  11  
10
2  
  21  
20
     
 
 
 
P = 6352.50 x 10 x 10 x 20  = Rs. 5000.      
11 x 11 x 21      
 
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12.
The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period (in year) is :
  • A.
    2
  • C.
    3
  • B.
    2 1  
    2  
  • D.
    4
  • Answer & Explanation
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Answer : [A]
Explanation :
 
Amount = Rs. (30000 + 4347) = Rs. 34347.
 
Let the time br n years. Then,
 
30000   1 + 7   n  = 34347  
100  
 
 
  107   n = 34347 = 11449 =   107   2  
100 30000 10000 100  
 
   n = 2 years.      
 
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13.
A man borrows Rs. 12,500 at 20% compound interest. At the end of every year he pays Rs. 2000 as part repayment. How much does he still owe after three such installments?
  • A.
    Rs. 12,000
  • C.
    Rs. 15,600
  • B.
    Rs. 12,864
  • D.
    None of these
  • Answer & Explanation
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Answer : [D]
Explanation :
 
Balance
 
 = Rs.
   
12500 x   1 + 20   3
100
  -  
2000 x   1 + 20   2
100
+ 2000 x
  1 + 20  
100
 + 2000      
 
 = Rs.
 
  12500 x 6 x 6 x 6  
5 5 5
-   2000 x 6 x 6 + 2000 x 6 + 2000  
5 5 5
   
 
= Rs. [21600 - (2880 + 2400 + 2000)] = Rs. 14320.
 
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14.
The present worth of Rs. 169 due in 2 years at 4% per annum compound interest is:
  • A.
    Rs. 150.50
  • C.
    Rs. 156.25
  • B.
    Rs. 154.75
  • D.
    Rs. 158
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Answer : [C]
Explanation :
 
Present worth = Rs.  
169
  1 + 4   2
100
   = Rs.
  169 x 25 x 25  
26 26
 = Rs. 156.25  
 
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15.
A man borrowed Rs. 3125 for compound interest and it amounted to Rs. 4500 in 2 years. The rate of compound interest per annum is
  • A.
    30%
  • C.
    20%
  • B.
    25%
  • D.
    15%
  • Answer & Explanation
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Answer : [C]
Explanation :
 
  4500 = 3125   1 + r   2  
100  
 
 
    1 + r   2 = 4500  
100 3125  
 
 
  1 + r = 6      
  100 5      
 
 
  r = 6  - 1 = 1  
  100 5 5  
 
  r = 20%.
 
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