| The simple interest on a sum of money is \[\frac{1}{9}\]of the principal and the number of years is equal to rate per cent per annum. The rate per annum is [SSC (CGL) 2011] |
A) \[3\]%
B) \[\frac{1}{3}\]%
C) \[3\frac{1}{3}\]%
D) \[\frac{3}{10}\]%
Correct Answer: C
Solution :
| \[\frac{\text{Simple}\,\,\text{interest}}{\text{Principal}}=\frac{1}{9}\] |
| If the annual rate of interest is r%, then |
| \[\text{Rate}=\frac{\text{SI}\times \text{100}}{\text{Principal}\times \text{Time}}\] |
| \[\Rightarrow \] \[r=\frac{1}{9}\times \frac{100}{r}\] \[[\because t=r]\] |
| \[\Rightarrow \]\[{{r}^{2}}=\frac{100}{9}\]\[\Rightarrow \]\[r=\sqrt{\frac{100}{9}}=\frac{10}{3}=3\frac{1}{3}\]% |
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