| 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 |
A) Rs. 16000
B) Rs. 18000
C) Rs. 17500
D) Rs. 12000
E) None of these
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 |
| \[=\,\,\text{Rs}\text{.}\,\,\text{(30000}-x)\] |
| Simple interest \[=\text{Rs}\text{.}\,\,\text{(36480}-30000)=\text{Rs}\text{.}\,\,\text{6480}\] |
| According to the question, |
| \[\frac{x\times 2\times 12}{100}+\frac{(30000-x)\times 2\times 10}{100}=6480\] |
| \[\Rightarrow \] \[24x+600000-20x=648000\] |
| \[\Rightarrow \] \[4x=648000-600000=48000\] |
| \[\Rightarrow \] \[x=\frac{48000}{4}=12000\] |
You need to login to perform this action.
You will be redirected in
3 sec
