| Shilpa deposited same amount of money in two different banks, which pay simple interest at the rate of 10% and 12%, respectively. After 3 yr total interest received by her is Rs. 3300. The total amount deposited is [SSC (CGL) 2014] |
A) Rs. 10000
B) Rs. 11000
C) Rs. 12000
D) Rs. 12250
Correct Answer: A
Solution :
| Let Shilpa deposited Rs. x in each bank. |
| \[\therefore \] \[\text{SI}=\frac{\text{Principal}\times \text{Rate}\times \text{Time}}{100}\] |
| \[\Rightarrow \]\[\frac{x\times 10\times 3}{100}+\frac{x\times 12\times 3}{100}=3300\] |
| \[\Rightarrow \]\[30x+36x=3300\times 100\] |
| \[\Rightarrow \]\[x=\frac{3300\times 100}{66}=\text{Rs}\text{.}\,\,5000\] |
| Thus, total amount deposited \[=\text{Rs}\text{.}\,\,10000\] |
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