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Simple interest on a certain amount is `9/16` of the principal . If the  numbers representing  the rate of interest in  percent  and time in years be equal , than time ,for which the principal is lent out is


Options:
A .  `5 1/2`years
B .  `6 1/2`years
C .  7 years
D .  `7 1/2`years
Answer: Option D

Let sum = `x` . Then , S.I.  =  `9/16 x`.

Let rate = R% and time =   R years

`:.`      `  ((x xx R xx R)/(100)) =  (9x)/(16)`

`hArr        R^2  = 900/16`         `hArr      R =  30/4   =   7 1/2`

Hence , time  = `7 1/2` years



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