| At what rate of simple interest per annum, will a sum become \[\frac{7}{4}\] of itself in 4 yr? |
A) 18%
B) \[18\frac{1}{4}\]%
C) \[18\frac{3}{4}\]%
D) \[18\frac{1}{2}\]%
Correct Answer: C
Solution :
| Let the principal be Rs. x. |
| \[\therefore \] Principal + SI \[=Rs.\frac{7x}{4}\]\[\Rightarrow \]\[SI=\frac{7x}{4}-x\] |
| \[\Rightarrow \] \[SI=Rs.\frac{3x}{4}\] |
| \[\therefore \] \[\text{Rate}\,\,=\,\,\frac{SI\times 100}{\text{Principal}\times \text{Time}}=\frac{3x\times 100}{4\times x\times 4}\] |
| \[=18\frac{3}{4}\]%per annum |
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