SATHEE: Quantitative Aptitude Ques 408

Quantitative Aptitude Ques 408

Question: In what time Rs. 8000 will amount to Rs. 9261 at 10% per annum compound interest, when the interest is compounded half-yearly?

Options:

A) $ 3\frac{1}{2}yr $

B) $ 1\frac{1}{2}yr $

C) $ 2\frac{1}{2}yr $

D) 2 yr

Show Answer

Answer:

Correct Answer: B

Solution:

Interest is compounded half-yearly.

$ \therefore $ Rate of interest = 5% Time $ =\frac{n}{2}yr $ (let) = n half-years $ A=P{{( 1+\frac{r}{100} )}^{t}} $ $ 9261=8000{{( 1+\frac{5}{100} )}^{n}} $

$ \Rightarrow $ $ \frac{9261}{8000}={{( \frac{21}{20} )}^{n}} $
$ \Rightarrow $ $ {{( \frac{21}{20} )}^{3}}={{( \frac{21}{20} )}^{n}} $

$ \therefore $ $ n=3 $ half-years $ =\frac{3}{2}yr=1\frac{1}{2}yr $

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Quantitative Aptitude Ques 408

Question: In what time Rs. 8000 will amount to Rs. 9261 at 10% per annum compound interest, when the interest is compounded half-yearly?

Options:

Answer:

Solution:

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