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11.
The banker’s gain on a sum due 3 years hence at 12% per annum is Rs. 270. The banker’s discount is :
  • A.
    Rs. 960
  • C.
    Rs. 1020
  • B.
    Rs. 840
  • D.
    Rs. 760
  • Answer & Explanation
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Answer : [C]
Explanation :
T.D. =  
B.G. x 100
R x T
   = Rs.  
270 x 100
12 x 3
   = Rs. 750.  
 
  B.D. = Rs. (750 + 270) = Rs. 1020.  
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12.
A bill for Rs. 6000 is drawn on July 14 at 5 months. It is discounted on 5th October at 10%. Banker's discount will be
  • A.
    Rs. 120
  • C.
    Rs. 110
  • B.
    Rs. 117.64
  • D.
    Rs. 115.63
  • Answer & Explanation
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Answer : [A]
Explanation :
Face value of the bill = Rs. 6000
Date on which the bill was drawn = July 14 at 5 months
Nominally due date = December, 14  
Legally due date = December, 17  
Date on which the bill was discounted = October, 5
Unexpired time : Oct. Nov. Dec.
  26 + 30 + 17 = 73 days  
  =
1
5
 year    
 
  B.D. = S.I. on Rs. 6000 for
1
5
 year    
 
= Rs.    6000 x 10 x
1
5
x
1
100
   = Rs. 120.
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13.
The present worth of a certain sum due sometime hence is Rs. 1600 and he true discount is Rs. 160, The banker’s gain is:
  • A.
    Rs. 20
  • C.
    Rs. 16
  • B.
    Rs. 24
  • D.
    Rs. 12
  • Answer & Explanation
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Answer : [C]
Explanation :
B.G. =
(T.D.)2
P.W.
 = Rs.  
160 x 160
1600
   = Rs. 16
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14.
The banker’s discount on a sum of money for 1
1
2
 years is Rs. 558 and the true discount  on
the same sum for 2 years is Rs. 600. The rate percent is:
  • A.
    10%
  • C.
    12%
  • B.
    13%
  • D.
    15%
  • Answer & Explanation
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Answer : [C]
Explanation :
B.D. for
3
2
 years = Rs. 558. B.D. for 2 years = Rs.   558 x
2
3
 x 2    = Rs. 744    
T.D. for 2 years = Rs. 600.
 
  Sum =
B.D. x T.D.
B.D. - T.D.
 = Rs.  
744 x 600
144
   = Rs. 3100.
Thus, Rs. 744 is S.I. on Rs. 3100 for 2 years.
 
  Rate =  
100 x 744
3100 x 2
   % = 12%        
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15.
The present worth of a sum due sometime hence is Rs. 576 and the banker’s gain is Rs. 16. The true discount is
  • A.
    Rs. 36
  • C.
    Rs. 48
  • B.
    Rs. 72
  • D.
    Rs. 96
  • Answer & Explanation
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Answer : [D]
Explanation :
T.D. = P.W. x B.G. = 576 x 16  = 96.  
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