Quantitative Aptitude Ques 677

Question: A sum of Rs. 16800 is divided into two parts. One part is lent at the simple interest x 6% per annum and the other at 8% per annum. After 2 yr total sum received a Rs. 19000. The sum lent at 6% of simple interest is

Options:

A) Rs. 12200

B) Rs. 12000

C) Rs. 11000

D) Rs. 10000

E) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  • Let sum lent at 6% rate of interest $ =x $ $ SI=19000-16800=2200 $

$ \therefore $ $ \frac{x\times 6\times 2}{100}+\frac{(16800-x)\times 8\times 2}{100}=2200 $

$ \Rightarrow $ $ 12x+(16800-x)\times 16=2200000 $

$ \Rightarrow $ $ 4x=16800\times 16-220000=268800-220000 $

$ \Rightarrow $ $ 4x=48800 $
$ \Rightarrow $ $ x=12200 $