Math Problem Statement
A person invests Rs. 8500 in a securities which pays 30% interest pa compounded annually. What is the approximate value of compound inetrest earned?
Solution
To calculate the compound interest, we use the formula:
Where:
- = the amount (final value of investment)
- = the principal (initial investment)
- = annual interest rate
- = time (in years)
Given:
- year (since it's compounded annually)
Step 1: Calculate the amount .
Step 2: Calculate the compound interest.
So, the approximate value of the compound interest earned is Rs. 2550.
Do you want more details or have any questions?
Here are 5 related questions for further exploration:
- How would the compound interest change if the time period is 2 years?
- What would be the value of the investment if the interest was compounded semi-annually?
- How does compound interest differ from simple interest?
- How does increasing the interest rate to 40% affect the compound interest?
- What would the compound interest be for a different principal, say Rs. 10,000?
Tip: For better financial returns, always check how frequently the interest is compounded. More frequent compounding leads to higher interest earnings.
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Math Problem Analysis
Mathematical Concepts
Compound Interest
Exponential Growth
Formulas
A = P(1 + r/100)^t
Compound Interest = A - P
Theorems
Compound Interest Theorem
Suitable Grade Level
Grades 9-12
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