Quantitative Aptitude Ques 965

Question: Vishwas borrowed a total amount of Rs. 30000 part of it on simple interest, rate of 12% per annum and remaining on simple interest rate of 10% per annum. If at the end of 2 yr he paid Rs. 36480 to settle the loan amount, then what was the amount borrowed at 12% per annum

Options:

A) Rs. 16000

B) Rs. 18000

C) Rs. 17500

D) Rs. 12000

E) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

  • Let the sum borrowed at the rate of 12% per annum be Rs. x

$ \therefore $ Sum borrowed at 10% per annum $ =Rs\text{.}\text{(30000}-x) $ Simple interest $ =Rs\text{.}\text{(36480}-30000)=Rs\text{.}6480 $ According to the question, $ \frac{x\times 2\times 12}{100}+\frac{(30000-x)\times 2\times 10}{100}=6480 $

$ \Rightarrow $ $ 24x+600000-20x=648000 $

$ \Rightarrow $ $ 4x=648000-600000=48000 $

$ \Rightarrow $ $ x=\frac{48000}{4}=12000 $