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
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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
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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
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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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