| 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 |
A) Rs. 12200
B) Rs. 12000
C) Rs. 11000
D) Rs. 10000
E) None of these
Correct Answer: A
Solution :
| Let sum lent at 6% rate of interest \[=x\] |
| \[\text{SI}=\text{19000}-\text{16800}=\text{2200}\] |
| \[\therefore \]\[\frac{x\times 6\times 2}{100}+\frac{(16800-x)\times 8\times 2}{100}=2200\] |
| \[\Rightarrow \]\[12x+(16800-x)\times 16=2200000\] |
| \[\Rightarrow \]\[4x=16800\times 16-220000=268800-220000\] |
| \[\Rightarrow \]\[4x=48800\]\[\Rightarrow \]\[x=12200\] |
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