A) \[5\frac{2}{3}%,\] 5 years 8 months
B) \[7\frac{2}{3}%,\], 7 years 8 months
C) \[6\frac{2}{3}%,\] 6 years 8 months
D) \[6\frac{2}{3}%,\] 7 years 8 months
Correct Answer: C
Solution :
Let principal be Rs. x, rate be n% and time be n years, \[\therefore \] Simple interest \[=\frac{4}{9}\,x\] \[\Rightarrow \] \[\frac{x\times n\times n}{100}=\frac{4}{9}\times x\] \[\Rightarrow \] \[\frac{x\times {{n}^{2}}}{x}=\frac{4}{9}\times 100\] \[\Rightarrow \] \[{{n}^{2}}=\frac{400}{9}\Rightarrow n=\sqrt{\frac{400}{9}}=\frac{20}{3}=6\frac{2}{3}\] \[\therefore \] Time, \[n=6\frac{2}{3}\]years = 6 years 8 months Rate \[=n%=6\frac{2}{3}%\]
You need to login to perform this action.
You will be redirected in
3 sec
