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11.
The simple interest and the true discount on a certain sum for a given time and at a given rate are Rs. 85 and Rs. 80 respectively. The sum is:
  • A.
    Rs. 1800
  • C.
    Rs. 1360
  • B.
    Rs. 1450
  • D.
    Rs. 6800
  • Answer & Explanation
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Answer : [C]
Explanation :
Sum =
S.I x T.D.
(S.I) - (T.D.)
=
85 x 80
(85 - 80)
 = Rs. 1360  
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12.
Find the true discount on Rs. 39.69 due in 2 years reckoning compound interest at 5%
  • A.
    Rs. 3.69
  • C.
    Rs. 5.69
  • B.
    Rs. 5
  • D.
    Rs. 4.69
  • Answer & Explanation
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Answer : [A]
Explanation :
 
 
 
P.W. =
39.69
  1 x
5
100
  2
       
3969 x 100 x 100
100 x 105 x 105
   
Rs. 36    
 
  True discount = Rs. 39.69 36 = Rs. 3.69  
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13.
If the true discount on a sum due 2 years hence at 14% per annum be Rs. 168, the sum due is:
  • A.
    Rs. 768
  • C.
    Rs. 1960
  • B.
    Rs. 968
  • D.
    Rs. 2400
  • Answer & Explanation
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Answer : [A]
Explanation :
P.W. =
100 x T.D.
R x T
=
100 x 168
14 x 2
 = 600.  
 
  Sum = (P.W. + T.D.) = Rs. (600 + 168) = Rs. 768.  
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14.
The true discount on a certain sum of money due after 2
1
2
 years at 6% per annum is less
than the simple interest on the same sum for the same time by Rs. 81. Find the sum -
  • A.
    Rs. 4140
  • C.
    Rs. 4150
  • B.
    Rs. 4240
  • D.
    Rs. 4250
  • Answer & Explanation
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Answer : [A]
Explanation :
Req. amount =
81 x   100 + 6 x
5
2
   x 100
  6 x
5
2
  2
       
8100 x 115
225
   
 
Rs. 4140  
 
Here, S.I. - T.D. = Rs. 81    
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15.
Find the present worth of a bill of Rs. 2420 due 2 years hence at 10% compound interest. Also find the true discount -
  • A.
    Rs. 2000, Rs. 420
  • C.
    Rs. 2100, Rs. 460
  • B.
    Rs. 2200, Rs. 520
  • D.
    None of these
  • Answer & Explanation
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Answer : [A]
Explanation :
Here sum is put on compound interest,
 
 
P.W. =
A
  1 +
r
100
  n
=
2420
  1 +
10
100
  2
   
2420 x 100
121
   
  = Rs. 2000    
 
T.D.  = P.W. - P  
 
  True discount = 2420 2000 = Rs. 420.  
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