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16.
The interest on Rs. 750 for 2 years is the same as the true discount on Rs. 960 due 2 years hence. If the rate of interest is the same in both cases, it is:
  • A.
    12%
  • C.
    15%
  • B.
    14%
  • D.
    16    		 2 %  
    3  
  • Answer & Explanation
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Answer : [B]
Explanation :
S.I. on Rs. 750 = T.D. on Rs. 960.
This means P.W. of Rs. 960 due 2 years hence is Rs. 750.
 
  T.D. = Rs. (960 - 750) = Rs. 210.  
Thus, S.I. on R.s 750 for 2 years is Rs. 210.
 
  Rate =  
100 x 210
750 x 2
  % = 14%    
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17.
Find the present worth (PW) and the true discount reckoning 6% per annum simple interest of Rs. 176 due in 20 months time –
  • A.
    Rs. 160, Rs. 16
  • C.
    Rs. 150, Rs. 26
  • B.
    Rs. 130, Rs. 46
  • D.
    None of these
  • Answer & Explanation
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Answer : [A]
Explanation :
 
P.W. =
100 x 176
  100 + 6 x
20
12
 
 = 160
 
T.D. =  Amount – Present worth    
  = Rs. 176 - Rs. 160    
  = Rs. 16    
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18.
The present worth of a bill due 7 months hence is Rs. 1200 and if the bill were due at the end
of 2
1
2
  years, its present worth would be Rs. 1016. Find the rate percent and the sum of the
bill -
  • A.
    10%, Rs. 1270
  • C.
    16%, Rs. 1570
  • B.
    8%, Rs. 1720
  • D.
    18%, Rs. 1560
  • Answer & Explanation
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Answer : [A]
Explanation :
Sum due = P.W. + T.D. = P.W. + S.I. on P.W.
Now, sum due = (Rs. 1200 + S.I. on Rs. 1200 for 7 months)
Also, sum due =   Rs. 1016 + S.I. on Rs. 1016 for
5
2
 years    
 
    Rs. 1200 + S.I. on Rs.
  1200 x
7
12
 
  for 1 year    
=     Rs. 1016 + S.I. on Rs.
  1016 x
5
2
 
  for 1 year    
 
  (Rs. 1200 + S.I. on Rs. 700 for 1 year) = {Rs. 1016 + S.I.on Rs. 2540 for 1 year}  
 
  S.I. on Rs.(2540 – 700) for 1 year = Rs. (1200 – 1016)  
 
  S.I. on Rs. 1840 for 1 year = Rs. 184  
 
  Rate =
100 x 184
1840 x 1
 = 10%      
Also, sum due = Rs. 1200 + (S.I. on Rs. 1200 for 7 months ar 10%)
  = Rs.   1200 +
  1200 x
7
12
x
10
100
   
     
  = Rs. 1270    
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19.
If Rs. 10 be allowed as true discount on a bill of Rs. 110 due at the end of a certain time, then the discount allowed on the same sum due at the end of double the time is -
  • A.
    Rs. 20
  • C.
    Rs. 22
  • B.
    Rs. 21.81
  • D.
    Rs. 18.33
  • Answer & Explanation
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Answer : [D]
Explanation :
S.I. on Rs. (110 - 10) for a given time = Rs. 10
 
S.I. on Rs. 100 for double the time = Rs. 20
 
  Sum = Rs. (100 + 20) = Rs. 120    
T.D. on Rs. 110 = Rs.  
20
120
 x 110        
  = Rs. 18.33    
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20.
If Rs. 10 be allowed as true discount on a bill of Rs. 110 due at the end of a certain time, then the discount allowed on the same sum due at the end of double the time is:
  • A.
    Rs. 20
  • C.
    Rs. 22
  • B.
    Rs. 21.81
  • D.
    Rs. 18.33
  • Answer & Explanation
  • Report
Answer : [D]
Explanation :
S.I. on Rs. (110 - 10) for a certain time = Rs. 10.
S.I. on Rs. 100 for double the time = Rs. 20.
T.D. on Rs. 120 = Rs. (120 - 100) = Rs. 20.
T.D. on Rs. 110 = Rs.  
20
120
 x 110    = Rs. 18.33  
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