Quantitative Aptitude Ques 471
Question: At what rate of simple interest per annum, will a sum become $ \frac{7}{4} $ of itself in 4 yr?
Options:
A) 18%
B) $ 18\frac{1}{4} $ %
C) $ 18\frac{3}{4} $ %
D) $ 18\frac{1}{2} $ %
Show Answer
Answer:
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 $ $ Rate=\frac{SI\times 100}{Principal\times Time}=\frac{3x\times 100}{4\times x\times 4} $ $ =18\frac{3}{4} $ %per annum