Math Problem Statement
Find the amount and the compound interest on Rs 2500 for 2 years at 10% per annum, compounded annually.
03:08 View Solution
Solution
To find the compound interest and the amount, we can use the following formula:
Where:
- is the amount,
- is the principal (initial investment),
- is the rate of interest per annum,
- is the number of years.
Given:
- Rs,
- ,
- years.
Step 1: Calculate the Amount
So, the amount after 2 years is Rs 3025.
Step 2: Calculate the Compound Interest
Compound Interest (CI) is given by:
Thus, the compound interest is Rs 525.
Final Answer:
- Amount = Rs 3025
- Compound Interest = Rs 525
Would you like more details on any of the steps or formulas used?
Here are 5 related questions for further exploration:
- How would the compound interest change if the rate was 12% instead of 10%?
- What would the compound interest be if compounded semi-annually instead of annually?
- How does simple interest compare to compound interest for the same problem?
- What is the formula for compound interest if compounded monthly?
- How does the time period affect the amount of compound interest?
Tip: When working with compound interest, it's important to note whether it's compounded annually, semi-annually, or monthly, as this affects the calculations.
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Math Problem Analysis
Mathematical Concepts
Compound Interest
Exponential Growth
Formulas
A = P(1 + r/100)^n
CI = A - P
Theorems
Compound Interest Theorem
Suitable Grade Level
Grades 8-10
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