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Question

Simple interest on a certain sum at a certain annual rate of interest is `1/9` of the sum . If the numbers representing rate percent and time in  years be equal , then the rate of interest is


Options:
A .  `3 1/3`%
B .  5%
C .  `6 2/3`%
D .  10%
Answer: Option A

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

Let rate =  R% and  time =  R years.

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

`hArr       R^2    = 100/9`

`hArr       R =  10/3` =   `3 1/3`

Hence , rate =  `3 1/3`%.




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