at what rate a sum doubles itself in 8 yeaes 4months
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Let the principal = p
And , Rate per annum = r %
Time ( t ) = 8 years 4 months
= 8 + 4 / 12
= 8 + 1 / 3
= ( 24 + 1 ) / 3
= 25 / 3
So now ,
I = p t r / 100 [ •°• simple interest ]
=> p = ( p × 25 / 3 × r ) / 100
[ °•° If the sum will double so the principal = intereste ]
=> 100p = 25pr / 3
=> 4 = r / 3
=> r = 12
So , the rate per annum is 12 %
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