Quantitative Aptitude Ques 357
Question: If simple interest on any amount is equal to 30% of the principal in 6 yr, then after how many years simple interest will be equal to principal?
Options:
A) 20 yr
B) 30 yr
C) 10 yr
D) 22 yr
Show Answer
Answer:
Correct Answer: A
Solution:
- Let P be Rs. x. $ \because $ SI = 30% of and $ x=Rs.,\frac{3x}{10} $ and t = 6 yr
$ \therefore $ $ SI=\frac{P\times r\times t}{100} $
$ \Rightarrow $ $ \frac{3x}{10}=\frac{x\times 6\times r}{100} $
$ \Rightarrow $ $ r=\frac{3\times 100}{10\times 6}=5% $ Now, P = Rs. x, SI = Rs. x and r = 5%
$ \therefore $ $ SI=\frac{P\times r\times t}{100} $
$ \Rightarrow $ $ x=\frac{x\times 5\times t}{100} $
$ \therefore $ $ t=\frac{100}{5}=20,yr $
BETA
