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A sum of Rs 12,800 is invested partly at 15% per annum and the remaining at 12% per annum simple interest. If the total interest at the
end of 3 years is Rs 5,085. then how much money was invested at 15% per annum?
Rs 5,300
Rs 7,500
Rs 5,800
Rs 5,200
- Let's denote the amount invested at 15% as x. The remaining amount, at 12%, is 12,800−x.
- The interest from the first part is 15100×x×3.
- The interest from the second part is 12100×(12,800−x)×3.
- The total interest from both investments is Rs 5,085.
- We can set up the equation:
$$
\frac{15}{100} \times x \times 3 + \frac{12}{100} \times (12,800 - x) \times 3 = 5,085
- Simplifying this, we solve for x=Rs5,800.
- Correct Answer: Option 3: Rs 5,800
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