| A man lent Rs. 60000 partly at 5% and the rest at 4% simple interest. If the total annual interest is Rs. 2560, the money lent at 4% was |
A) Rs. 40000
B) Rs. 44000
C) Rs. 30000
D) Rs. 45000
Correct Answer: B
Solution :
| Let the amount lent at 4% be Rs. x. |
| \[\therefore \] Amount lent at 5% \[=Rs.(60000-x)\] |
| According to the question, |
| \[\frac{(60000-x)\times 5\times 1}{100}+\frac{x\times 4\times 1}{100}\,\,=\,\,2560\] |
| \[\Rightarrow \] \[300000-5x+4x=256000\] |
| \[\Rightarrow \] \[x=300000-256000\] |
| \[\therefore \] \[x=Rs.\,44000\] |
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