In what time will a sum of money double itself at 15% per annum?
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Hi ,
Let the principal = Rs p
Amount = A = 2p
Time = T years
Rate of interest = r = 15%
A = p( 1 + Tr/100 )
2p = p ( 1 + T × 15 /100 )
2p/p = ( 100 + 15T )/100
200 = 100 + 15T
200 - 100 = 15T
100 = 15T
100 / 15 = T
20 / 3 = T
Therefore ,
Required time = T = 6 2/3 years
I hope this helps you.
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