Question

সুদের পর্ব 6 মাস হলে বার্ষিক 10% চক্রবৃদ্ধি হার সুদে 1600 টাকার 1 বছরের চক্রবৃদ্ধি সুদ ও
সুদ-আসল নির্ণয় করি।​

Answer 1

xy¢œ (P) = 1000 Ýþy„þy— ¢›ëû (n) = 1 îŠéîû— ¢%öì”îû £yîû (r%) = 10%

¢%öì”îû þ™îÅ 6 ›y¢ £ö윖 n îŠéöìîû (n=1) ¢›)œ ‰„Êþî,!å• (A) =

n

r

p

2

100

2 1

























 Ýþy„þy

=

2 1

200

10 1000 1







 



  Ýþy„þy

=

2

100

5 1000 1 



 



  Ýþy„þy = 100 100

105 105 1000





 Ýþy„þy

= 1102.50 Ýþy„þy

vþzƒ  ‰þ„Êþî,!å• ¢%” = S1102.50éôé1000V Ýþy„þy= 102.50 Ýþy„þy

4. ¢%öì”îû þ™îÅ 6 ›y¢ £ö윖 îy!¡ìÅ„þ 10% ‰þ„Êþî,!å• ¢%öì”îû £yöìîû 1600 Ýþy„þyîû 2 îŠéöìîûîû ¢›)œéôé‰þ„Êþî,!å• ç ‰þ„Êþî,!å• ¢%” !˜’Åëû

„þöìîûyÐ

Ans.

xy¢œ (P) = 1600 Ýþy„þy— ¢›ëû (n) = 2 îŠéîû— ¢%öì”îû £yîû (r%) = 10%

 ¢%öì”îû þ™îÅ 6 ›y¢ £ö윖 n îŠéöìîû (n=2) ¢›)œ ‰„Êþî,!å• (A) =

n

r

p

2

200

1 



 



  Ýþy„þy

=

2 2

200

10 1600 1







 



  Ýþy„þy

4

20

21 1600 



 



  Ýþy„þy

= 20 20 20 20

21 21 21 21 1600

  

  

 Ýþy„þy = 1944.81 Ýþy„þy

100

vþzƒ  2 îŠéöìîû ¢›)œ ‰þ„Êþî,!å• = 1944.81 Ýþy„þy ç ‰þ„Êþî,!å• ¢%” = (1944.81-1600) Ýþy„þy = 344.81 Ýþy„þy