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 $