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1.
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 =  
100 x 1.10
11 x 2
   % = 5%      
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2.
If the true discount on a certain sum due 6 months hence at 15% is Rs. 120, then banker's discount on the same for the same time and at the same rate will be
  • A.
    Rs. 120
  • C.
    Rs. 129
  • B.
    Rs. 124
  • D.
    Rs. 133
  • Answer & Explanation
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Answer : [C]
Explanation :
B.G. = S.I. on T.D.
= Rs.    120 x 15 x
1
2
x
1
100
   = Rs. 9
 
  (B.D.) - (T.D.) = Rs. 9  
 
    B.D. = Rs. (120 + 9) = Rs. 129  
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3.
The banker's gain on a bill due 1 year hence at 12% per annum is Rs. 6. The true discount is:
  • A.
    Rs. 72
  • C.
    Rs. 54
  • B.
    Rs. 36
  • D.
    Rs. 50
  • Answer & Explanation
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Answer : [D]
Explanation :
T.D. =
B.G. x 100
R x T
 = Rs.  
6 x 100
12 x 1
   = Rs. 50
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4.
The banker's discount on a bill due 4 months hence at 15% is Rs. 420. The true discount is
  • A.
    Rs. 400
  • C.
    Rs. 480
  • B.
    Rs. 360
  • D.
    Rs. 320
  • Answer & Explanation
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Answer : [A]
Explanation :
T.D. =
B.D. x 100
100 + (R x T)
   
= Rs.   
420 x 100
100 +   15 x
1
3
 
     
= Rs.   
420 x 100
105
   = Rs. 400
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5.
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 at 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 100
1600 x 15
   years =
1
3
 year    
  = 4 months.  
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