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A sum of Rs8,500 amounts to Rs11,900 in 5 years at simple interest per annum. If the rate of interest is increased by 3%, then the
increased amount for the same period is:
Rs12,175
Rs13,175
Rs12,475
Rs13,275
- First, we calculate the original interest earned. The difference between the final amount (Rs11,900) and the principal (Rs8,500) is Rs3,400.
- This Rs3,400 interest is earned over 5 years, so the simple interest per annum is Rs3,400 ÷ 5 = Rs680.
- The annual rate of interest can be calculated using the formula: Interest = Principal × Rate × Time ÷ 100. Plugging in the numbers: Rs680 = Rs8,500 × Rate × 1 ÷ 100, we find that Rate = 8%.
- With a 3% increase, the new rate becomes 11% per annum.
- Calculate the new interest: (Rs8,500 × 11 × 5) ÷ 100 = Rs4,675.
- The increased amount after 5 years would be the principal plus new interest: Rs8,500 + Rs4,675 = Rs13,175.
- Correct option: Option 2, Rs13,175.
By: santosh ProfileResourcesReport error
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