SATHEE: Quantitative Aptitude Ques 2070

Quantitative Aptitude Ques 2070

Question: A sum of money becomes eight times in 3 yr, if the rate is compounded annually. In how much time will the same amount at the same compound rate become sixteen times?

Options:

A) 6 yr

B) 4 yr

C) 8 yr

D) 5 yr

Show Answer

Answer:

Correct Answer: B

Solution:

Let the principal be Rs. 1. Then, amount is Rs. 8. Now, $ A=P{{( 1+\frac{r}{100} )}^{T}} $

$ \Rightarrow $ $ 8=1{{( 1+\frac{r}{100} )}^{3}} $

$ \Rightarrow $ $ 2^{3}={{( 1+\frac{r}{100} )}^{3}} $
$ \Rightarrow $ $ 2={{( 1+\frac{r}{100} )}^{1}} $ On squaring twice both sides, we get $ 2^{4}={{( 1+\frac{r}{100} )}^{4}} $

$ \therefore $ $ 16={{( 1+\frac{r}{100} )}^{4}} $ So, in 4 yr the same amount at the same compound rate become sixteen times

$ \therefore $ Time = 4 yr

Quantitative Aptitude Ques 2069

Quantitative Aptitude Ques 2071

Quantitative Aptitude Ques 2070

Question: A sum of money becomes eight times in 3 yr, if the rate is compounded annually. In how much time will the same amount at the same compound rate become sixteen times?

Options:

Answer:

Solution:

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