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1.
The present worth of Rs. 1404 due in two equal half-yearly installments at 8% per annum simple interest is:
  • A.
    Rs. 1325
  • C.
    Rs. 1350
  • B.
    Rs. 1300
  • D.
    Rs. 1500
  • Answer & Explanation
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Answer : [A]
Explanation :
Required sum = P.W. of Rs. 702 due 6 months + P.W. of Rs. 702 due 1 year hence
= Rs.   
 
100 x 702
100 + 8 x
1
2
 
+
 
100 x 702
100 + (8 x 1)
 
   
  = Rs. (675 + 650) = Rs. 1325  
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2.
Find the present value of Rs. 1051.25 due a year hence at 5
1
8
% -
  • A.
    Rs. 1200
  • C.
    Rs. 1500
  • B.
    Rs. 1000
  • D.
    Rs. 1050
  • Answer & Explanation
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Answer : [B]
Explanation :
P.W. =  
100 x 1051.25
100 + 41/8 x 1
     
 
105125 x 8
841
     
Rs. 1000  
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3.
If the true discount on Rs. 161 due 2
1
2
  years hence be Rs. 21. At what rate per cent is the
interest calculated?
  • A.
    6%
  • C.
    8%
  • B.
    4%
  • D.
    12%
  • Answer & Explanation
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Answer : [A]
Explanation :
Required rate per cent = 
100 x 21
(161 - 21) x 2
1
2
 
  = 6%  
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4.
Rs. 20 is the true discount on Rs. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time, the rate of interest being the same?
  • A.
    Rs. 10
  • C.
    Rs. 15.20
  • B.
    Rs. 10.40
  • D.
    Rs. 13
  • Answer & Explanation
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Answer : [B]
Explanation :
S.I. on Rs. 240 for a given time = Rs. 20
S.I. on Rs. 240 for half of the time = Rs. 10
 
  Rs. 10 is T.D. on Rs. 250  
Req. T.D. on Rs. 260 = Rs.  
10
250
 x 260      
  = Rs. 10.40    
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5.
The true discount on Rs. 1760 due after a certain time at 12% per annum is Rs. 160. The time after which it is due is:
  • A.
    6 months
  • C.
    9 months
  • B.
    8 months
  • D.
    10 months
  • Answer & Explanation
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Answer : [D]
Explanation :
P.W. = Rs. (1760 -160) = Rs. 1600.
 
  S.I. on Rs. 1600 at 12% is Rs. 160.  
 
  Time =  
100 x 160
1600 x 12
  =
5
6
 years =  
5
6
 x 12    moths = 10 months    
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