Math Problem Statement
Solution
The image contains questions involving compound interest calculations. Here's an interpretation and solution for one of the questions visible in the image.
Question Interpretation:
Find the amount compounded annually on ₹25,000 for 2 years at the rate of interest of 10% and 12%.
Formula for Compound Interest:
The formula to calculate the compound amount is: Where:
- is the amount,
- is the principal amount,
- is the rate of interest per annum,
- is the time in years.
Solution for ₹25,000 compounded annually at 10% for 2 years:
- , , :
Solution for ₹25,000 compounded annually at 12% for 2 years:
- , , :
Final Answers:
- At 10% for 2 years: ₹30,250
- At 12% for 2 years: ₹31,360
Would you like explanations for the other questions in the image?
Follow-Up Questions:
- What is the formula for quarterly compounding instead of annual?
- How would the results change if the interest rate applied was different in each year?
- Can you calculate the interest amount earned instead of the total amount?
- What happens if the time is given in months rather than years?
- How does compounding frequency (e.g., monthly, daily) impact the total amount?
Tip:
Always double-check the compounding frequency mentioned in a problem as it affects the formula and calculations significantly!
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Math Problem Analysis
Mathematical Concepts
Compound Interest
Exponents
Percentage
Formulas
A = P * (1 + r/100)^n
Theorems
Compound Interest Theorem
Suitable Grade Level
Grades 8-10
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