Quantitative Aptitude Ques 1467

Question: Ratio of the principal and the amount after 1 yr is 10: 12. Then, the rate of interest per annum is

[SSG (FCI) 2012]

Options:

A) 12%

B) 16%

C) 18%

D) 20%

Show Answer

Answer:

Correct Answer: D

Solution:

  • Given, $ \frac{Principal}{Amount}=\frac{10}{12} $ $ \frac{Amount}{Principal}=\frac{Principal+SI}{Principal}=\frac{12}{10}-1=\frac{2}{10} $

$ \Rightarrow $ $ 1+\frac{SI}{Principal}=\frac{12}{10} $
$ \Rightarrow $ $ \frac{SI}{Principal}=\frac{12}{10}-1=\frac{2}{10} $ $ Rate=\frac{SI\times 100}{P\times T} $

$ \therefore $ $ Rate=\frac{1}{5}\times 100=20 $ %

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