Quantitative Aptitude Ques 979

Question: A sum of money becomes Rs. 13380 after 3 yr and Rs. 20070 after 6 yr on compound interest. The sum (in Rs) is

Options:

A) 8800

B) 8890

C) 8820

D) 9040

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let the sum be Rs. x. Then, $ x{{( 1+\frac{R}{100} )}^{3}}=13380 $ … (i) and $ x{{( 1+\frac{R}{100} )}^{6}}=20070 $ …(ii) On dividing Eq, (ii) by Eq. (i), we get $ {{( 1+\frac{R}{100} )}^{3}}=\frac{20070}{13380}=\frac{3}{2} $ From Eq. (i), we get $ x\times \frac{3}{2}=13380 $
    $ \Rightarrow $ $ x=13380\times \frac{2}{3}=8920 $