Question:The simple interest on a sum of money is `1/9` of the sum. The number of years is numerically equal to the rate percent per annum. The rate percent per annum is :
A `3 1/3`
B `5`
C `6 2/3`
D `10`
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+ Answer
A
+ ExplanationLet sum = x.Then, S.I.`= x/9`
Let time = n years and rate = n%
Then, n`= 100 xx x/9 xx 1/(x xx n)`
`or n^2 = 100/9`
`or n = 10/3`
`= 3 1/3%`