Math Problem Statement
Solve correctly only
Solution
The question asks to find the amount at the end of 2 years on ₹1000 at 4% per annum, compounded annually.
We can use the compound interest formula for this calculation:
Where:
- is the amount after years,
- is the principal (initial amount),
- is the annual interest rate,
- is the time in years.
Given:
- (₹),
- ,
- years.
Substitute these values into the formula:
Thus, the amount after 2 years will be ₹1081.60.
Would you like further clarification or details on any part of this solution?
Relative Questions:
- How is compound interest different from simple interest?
- What happens if the interest is compounded more frequently than annually?
- How would the result change if the interest rate was higher or lower?
- What formula would be used if interest were compounded semi-annually instead of annually?
- Can this formula be used for non-annual compounding periods?
Tip:
Always make sure to adjust the interest rate and time period when the compounding is done more frequently than annually.
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Math Problem Analysis
Mathematical Concepts
Compound Interest
Exponential Growth
Formulas
Compound Interest Formula: A = P(1 + r/100)^t
Theorems
Interest Theorem
Suitable Grade Level
Grades 7-10
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