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16.
The banker’s discount on a certain sum due 2 years hence is
11
10
  of the true discount.
The rate percent is
  • A.
    11%
  • C.
    5%
  • B.
    10%
  • D.
    5.5%
  • Answer & Explanation
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Answer : [C]
Explanation :
Let T.D. be Re 1. Then, B.D.
  = Rs.
11
10
 = Rs. 1.10  
 
  Sum = Rs.  
1.10 x 1
1.10 - 1
   = Rs.  
110
10
   = Rs.11
 
  S.I. on Rs.11 for 2 years is Rs. 1.10.  
 
  Rate = Rs.  
100 x 1.10
11 x 2
   % = 5%
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17.
The banker's discount and the true discount on a sum of money due 8 months hence rare Rs. 120 and Rs. 110 respectively. The sum is
  • A.
    Rs. 1200
  • C.
    Rs. 1300
  • B.
    Rs. 1250
  • D.
    Rs. 1320
  • Answer & Explanation
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Answer : [D]
Explanation :
Sum =  
B.D. x T.D.
B.D. - T.D.
   = Rs.  
120 x 110
120 - 110
   = Rs. 1320
Since B.D. is S.I. on sum due, so S.I. on Rs. 1320 for 8 months is Rs. 120.
 
  S.I. on Rs. 450 = Rs. 90  
 
  Rate =  
100 x 120
1320 x
2
3
 
% = 13
7
11
%    
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18.
The true discount on a bill of Rs. 540 is Rs. 90. The banker’s discount is:
  • A.
    Rs. 60
  • C.
    Rs. 110
  • B.
    Rs. 108
  • D.
    Rs. 112
  • Answer & Explanation
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Answer : [B]
Explanation :
P.W. = Rs. (540 - 90) = Rs. 450
 
  S.I. on Rs. 450 = Rs. 90  
S.I. on Rs. 540 = Rs.  
90
450
 x 540    = Rs. 108.
 
  B.D. = Rs. 108.  
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19.
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 per cent 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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20.
The banker's discount of a certain sum of money is Rs. 72 and the true discount on the same sum for the same time is Rs. 60. The sum due is
  • A.
    Rs. 360
  • C.
    Rs. 540
  • B.
    Rs. 432
  • D.
    Rs. 1080
  • Answer & Explanation
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Answer : [A]
Explanation :
Sum =
B.D. x T.D.
B.D. - T.D.
= Rs.  
72 x 60
72 - 60
   
= Rs.   
72 x 60
12
   = Rs. 360.
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