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11.
In how many years, Rs. 150 will produce the same interest @ 8% as Rs. 800 produce in
3 years @ 4 1  % ?  
2  
  • A.
    6 years
  • C.
    9 years
  • B.
    8 years
  • D.
    12 years
  • Answer & Explanation
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Answer : [C]
Explanation :
 
P = Rs. 800, R = 4 1  % = 9  %, T = 3 years. Then,          
2 2          
 
  S.I. = Rs.   800 x 9 x 3    = Rs. 108      
2 100      
 
Now, P = Rs. 150, S.I. = Rs. 108, R = 8%
 
 
 
 Time =   100 x 108    years = 9 years.    
  150 x 8    
 
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12.
A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest. What is the rate of interest?
  • A.
    3%
  • C.
    5%
  • E.
    None of these
  • B.
    4%
  • D.
    6%
  • Answer & Explanation
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Answer : [D]
Explanation :
 
S.I. = Rs. (15500 - 12500) = Rs. 3000.
 
  Rate =   100 x 3000   % = 6%      
12500 x 4      
 
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13.
A sum is lent at C.I. for 2 years at 10%. It will yield Rs. 500 more when the interest is received half – yearly. Find the sum lent.
  • A.
    135270
  • C.
    135720
  • B.
    135702
  • D.
    135072
  • Answer & Explanation
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Answer : [D]
Explanation :
 
Let the sum lent out be Rs. P. If 10% is per annum, for 6 months
 
It is 5%.    r = 10%, r = 5%
 
Given that P   1 + r   4 - P   1 + r   2 = 500    
100 100    
 
p
  1 + 5  
100
4 -
  1 + 10  
100
2    = 500  
 
P  
21 x 21 x 21 x 21 - 11 x 11
20 20 20 20 10 10
   = 500  
 
 
P
400
 
21 x 21 x 21 x 21
400
 - 22 x 22    = 500  
 
P
400
 
441 x 441 - 484 x 400
400
   = 500  
 
P = 500 x 400 x 400  = Rs. 1,35,072      
194181 - 19360      
 
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14.
Find the interest due after 120 days for Rs. 3800 at 10%
  • A.
    124.93
  • C.
    125.59
  • B.
    123.01
  • D.
    126.47
  • Answer & Explanation
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Answer : [A]
Explanation :
 
SI = 3800 x 10 x 120  = 124.93  
100 365  
 
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15.
Find the rate of interest at which Rs. 100 becomes Rs. 200 in 10 years.
  • A.
    10%
  • C.
    8%
  • B.
    15%
  • D.
    17%
  • Answer & Explanation
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Answer : [A]
Explanation :
 
SI = 200-100 = 100
 

Rate of interest =

100 = 100  = 10%  
no. of Years 10  
 
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