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 $