In how many years will a sum of rs 6400 compounded semi-annually at 5% p.a. amount to rs 6560 ?
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Amount = 6560 , principal = 6400 ,
Rate = 5% ,T = ?
since , we know (for half yearly )
Amount = p ( 1 + R / 200)^2T
6560= 6400 ( 1 + 5 / 200 )^2T
656 / 640 =(41/ 40 )^2T
164 / 160 =( 41 /40 )^2T
41 / 40 = (41 / 40)^2T
( 41 /40 )^1 = (41 /40 )^2T
1 = 2T => T = 1 / 2
therefore , required time = 1 / 2 yr
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Your Answer : 1 /2 yr
_______________________________
Rate = 5% ,T = ?
since , we know (for half yearly )
Amount = p ( 1 + R / 200)^2T
6560= 6400 ( 1 + 5 / 200 )^2T
656 / 640 =(41/ 40 )^2T
164 / 160 =( 41 /40 )^2T
41 / 40 = (41 / 40)^2T
( 41 /40 )^1 = (41 /40 )^2T
1 = 2T => T = 1 / 2
therefore , required time = 1 / 2 yr
_______________________________
Your Answer : 1 /2 yr
_______________________________
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