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6.
The banker’s discount on Rs. 1600 at 15% per annum is the same as true discount on Rs. 1680 for the same time and the same rate. The time is:
  • A.
    3 months
  • C.
    6 months
  • B.
    4 months
  • D.
    8 months
  • Answer & Explanation
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Answer : [B]
Explanation :
S.I. on Rs. 1600 = T.D. on Rs. 1680
 
  Rs. 1600 is the P.W. of Rs. 1680, i.e., Rs. 80 is S.I. on Rs. 1600 at 15%  
 
  Time =  
100 x 80
1600 x 15
   year =
1
3
 year = 4 months.  
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7.
The banker’s gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. The present worth is
  • A.
    Rs. 480
  • C.
    Rs. 600
  • B.
    Rs. 520
  • D.
    Rs. 960
  • Answer & Explanation
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Answer : [C]
Explanation :
  T.D. =  
B.G. x 100
Rate x Time
       
  T.D. =  
24 x 100
10 x 2
   = Rs. 120    
 
 
  P.W. =
100 x T.D.
Rate x Time
 = Rs.  
100 x 120
10 x 2
   
  = Rs. 600.    
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8.
The present worth of a certain bill due sometime hence is Rs. 800 and the true discount is Rs. 63. The bankers's discount is:
  • A.
    Rs. 37
  • C.
    Rs. 34.38
  • B.
    Rs. 37.62
  • D.
    Rs. 38.98
  • Answer & Explanation
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Answer : [B]
Explanation :
B.G. =
(T.D.)2
P.W.
 = Rs.  
36 x 36
800
   = Rs. 1.62        
 
  B.D. = (T.D. + B.G.) = Rs. (36 + 1.62) = Rs. 37.62  
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9.
If the banker's discount on Rs. 1800 at 12% per annum is equal to the true discount on Rs. 1872 for the same time and at the same rate, then time is
  • A.
    3 months
  • C.
    7 months
  • B.
    4 months
  • D.
    9 months
  • Answer & Explanation
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Answer : [B]
Explanation :
S.I. on Rs. 1800 = T.D. on Rs. 1872
 
  P.W. of Rs. 1872 is Rs. 1800  
 
  Rs. 72 is S.I. on Rs. 1800 at 12%  
 
  Time =   
100 x 72
12 x 1800
   year
1
3
 year = 4 months.  
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10.
The present worth of a certain bill due some times hence is Rs. 800 and the true discount is Rs. 36. The banker's discount is
  • A.
    Rs. 37
  • C.
    Rs. 34.38
  • B.
    Rs. 37.62
  • D.
    Rs. 38.98
  • Answer & Explanation
  • Report
Answer : [B]
Explanation :
B.G. =
(T.D)2
P.W.
 = Rs.  
36 x 36
800
   = Rs. 1.62  
 
  B.D. = (T.D. + B.G.) = Rs. (36 + 1.62)  
  = Rs. 37.62  
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