Question:Simple interest on a certain sum at a certain rate is `9/16` of the sum. If the numbers representing rate percent and time in years be equal, then the rate is : 

A `5 1/2%` 
B `6 1/25` 
C `6 1/4%` 
D `7 1/2%` 

+ Answer
D 

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

Let time = n years & rate = n% 

`:. n = 100 xx (9x)/16 xx 1/x xx 1/n`

`or n^2 = 900/16`

`or n = 30/4`

`= 7 1/2%`

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Irin Moni

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