A sum of money become 5 time it self in 4 year then what is the rate of percentage
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let the sum be P .
time = 4 years
Amount = 5P
Let the required rate be r % .
so, 5P = P [ 1 + ( r / 100 ) ] ^ 4
5P / P = [ 1 + ( r / 100 ) ] ^ 4
5 = [ 1 + ( r / 100 ) ] ^ 4
( 5 )^1/4 = 1 + ( r / 100 )
1.4953 = 1 + ( r / 100 )
1.4953 - 1 = r / 100
0.4953 = r / 100
49.53 = r
hence the required rate is 49.53 %
time = 4 years
Amount = 5P
Let the required rate be r % .
so, 5P = P [ 1 + ( r / 100 ) ] ^ 4
5P / P = [ 1 + ( r / 100 ) ] ^ 4
5 = [ 1 + ( r / 100 ) ] ^ 4
( 5 )^1/4 = 1 + ( r / 100 )
1.4953 = 1 + ( r / 100 )
1.4953 - 1 = r / 100
0.4953 = r / 100
49.53 = r
hence the required rate is 49.53 %
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