what rate of simple interest per annum if a sum borrowed becomes double in 5 years ?
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Solution :
Let the principal ( p ) = Rs x
Amount ( A ) = Rs 2x
Simple interest ( I ) = A - P
= 2x - x = Rs x
Time ( t ) = 5 years
Let the rate of interest = r%
We know that ,
( ptr )/100 = I
=> r = ( 100 × I )/( pr )
=> r = ( 100 × x )/( x × 5 )
=> r = 100/5
=> r = 20%
Therefore ,
Rate of interest ( r ) = 20%
•••••
Let the principal ( p ) = Rs x
Amount ( A ) = Rs 2x
Simple interest ( I ) = A - P
= 2x - x = Rs x
Time ( t ) = 5 years
Let the rate of interest = r%
We know that ,
( ptr )/100 = I
=> r = ( 100 × I )/( pr )
=> r = ( 100 × x )/( x × 5 )
=> r = 100/5
=> r = 20%
Therefore ,
Rate of interest ( r ) = 20%
•••••
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