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36.
A has to pay Rs. 220 to B after 1 year. B asks A to pay Rs. 110 in cash and defer the payment of Rs. 110 for 2 years. A agrees to it. If the rate of interest be 10% pe annum, in this mode of payment:
  • A.
    There is no gain or loss to any one
  • C.
    A loses Rs. 7.34
  • B.
    A gains Rs. 7.34
  • D.
    A gains Rs. 11
  • Answer & Explanation
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Answer : [B]
Explanation :
A has to pay = P.W. of Rs. 220 due 1 year hence = Rs.  
220 x 100
100 + (10 x 1)
   = Rs. 200.  
A actually pays = Rs. 110 + P.W. of Rs. 110 due 2 years hence
  =   110 +
110 x 100
100 + (10 x 2)
   = Rs. 192.66  
 
  A gains = Rs. (200 192.66) = Rs. 7.34.  
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37.
The present worth of Rs. 2310 due 2
1
2
  years hence, the rate of interest being 15% per  
annum, is:
  • A.
    Rs. 1750
  • C.
    Rs. 1840
  • B.
    Rs. 1680
  • D.
    Rs. 1443.75
  • Answer & Explanation
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Answer : [B]
Explanation :
P.W. = Rs.  
100 x 2310
100 +   15 x
5
2
 
   = Rs. 1680.      
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38.
The true discount on a bill due 8 months hence at 12% per annum is Rs. 240. Find the amount of the bill and its present worth
  • A.
    Rs. 3000, Rs. 3240
  • C.
    Rs. 2100, Rs. 2340
  • B.
    Rs. 2000, Rs, 2240
  • D.
    None of these
  • Answer & Explanation
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Answer : [A]
Explanation :
P.W. =
100 x T.D.
R x T
=
100 x 240
12 x
8
12
= Rs. 3000
   
 
  P.W. is Rs. 3000  
 
  A = Amount of bill  
  = P.W. + T.D. = 3000 + 240 = 3240  
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