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On a certain sum, the difference between compound interest and simple interest at 10% per annum for 2 years is Rs.250. The
sum is _________.
Rs.25,450
Rs.26,550
Rs.25,000
Rs.26,000
To find the sum, we need to analyze the difference between compound interest (CI) and simple interest (SI) over 2 years at a 10% rate, which is given as Rs.250.
- Formula for Simple Interest (SI):
- SI = P * R * T / 100
- Where P is principal, R is rate, and T is time.
- Formula for Compound Interest (CI):
- CI = P * (1 + R/100)^T - P
- Difference between CI and SI after 2 years:
- Difference = P * [(1 + R/100)^2 - (1 + 2R/100)]
- Given Difference = Rs.250, we need to calculate the principal (P).
Let's calculate:
- Put [(1 + 10/100)^2 - (1 + 20/100)] = 250 / P
- Which gives P = 25000
Option 3 is therefore the correct answer.
Answer: Rs.25,000
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