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

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