Quantitative Aptitude Ques 1528

Question: Rekha invested a sum of Rs. 12000 at 5% per annum compound interest. She received an amount of Rs. 13230 after n yr. Find n.

Options:

A) 2.8 yr

B) 3.0 yr

C) 2.5 yr

D) 2.0 yr

Show Answer

Answer:

Correct Answer: D

Solution:

  • (d) Rekha’s investment, P = Rs. 12000 Rate of interest, R = 5% per annum Amount received after n yr, A = Rs. 13230 By the formula of compound interest $ A=P{{[ 1+\frac{R}{100} ]}^{n}} $

$ \Rightarrow $ $ 13230=12000{{[ 1+\frac{5}{100} ]}^{n}} $
$ \Rightarrow $ $ \frac{13230}{12000}={{[ \frac{21}{20} ]}^{n}} $

$ \Rightarrow $ $ \frac{441}{400}={{( \frac{21}{20} )}^{n}} $
$ \Rightarrow $ $ {{( \frac{21}{20} )}^{2}}={{( \frac{21}{20} )}^{n}} $ On comparing, we get $ n=2yr $