SATHEE: Quantitative Aptitude Ques 2269

Quantitative Aptitude Ques 2269

Question: sum of money doubles itself at compound interest in 15 yr. In how many years it will become eight times?

Options:

A) 30

B) 45

C) 50

D) 60

Show Answer

Answer:

Correct Answer: B

Solution:

Let the sum be Rs. x. Then, amount after $ 15yr=2x $

$ \Rightarrow $ $ 2x=x{{( 1+\frac{r}{100} )}^{15}} $

$ \Rightarrow $ $ 2={{( 1+\frac{r}{100} )}^{15}} $ (i) Let after n yr sum becomes eight times of itself. Again, $ 8x=x{{( 1+\frac{r}{100} )}^{n}} $ … (ii)

$ \Rightarrow $ $ 8={{( 1+\frac{r}{100} )}^{n}} $

$ \Rightarrow $ $ {{(2)}^{3}}={{( 1+\frac{r}{100} )}^{n}} $

$ \Rightarrow $ $ {{( 1+\frac{r}{100} )}^{3\times 15}}={{( 1+\frac{r}{100} )}^{n}} $

$ \therefore $ $ n=45,yr $

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Quantitative Aptitude Ques 2269

Question: sum of money doubles itself at compound interest in 15 yr. In how many years it will become eight times?

Options:

Answer:

Solution:

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