N owes PW of ? 3146 due 3/2 yr hence
i.e. {3146 x 100} / {100 + (14 x 3/2)} = (3146 x 100) / (100 + 21)
= 314600 / 121
= ? 2600
N owes PW of ? 2889 due 6 months hence
i.e. {2889 x 100}/{100 + (14 x 1/2)} = (2889 x 100)/(100 + 7)
= (2889 x 100)/107 = ? 2700
? N must pay ? (2700 - 2600) i.e. ? 100 to M.
Money to be paid by Aarti
= PW of ? 440 due 1 yr hence
= {440 x 100}/{100 + (10 x 1)} = {440 x 100}/110
= 4 x 100 = ? 400
Aarti actually pays ? 220 + PW of ? 220 due yr hence
i.e. 220 + {(220 x 100) / (100 + 10 x 2)}
= 220 + (220 x 100)/120
= [220 + 183.33]
= ? 403.33
? Loss of Aarti = 403.33 - 400
= ? 3.33
Required cash = PW of ? 5014 due 9 month hence
= {95014 x 1000} /{100 + 12 x (9/12)}
= (5014 x 100)/(100 + 9)
= (5014 x 100)/109
= ? 4600
PW of ? 6440 due 8 month hence
= (6440 x 100)/[100 + (18 x 8)/12] = (6440 x 100)/112 = ?5750
clearly, ? 10000 in cash is better offer.
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