Math Problem Statement
olton
has
₹64,322
in
a
savings
account.
The
interest
rate
is
11
%
per
year
and
is
not
compounded.
To
the
nearest
paisa,
how
much
will
he
have
in
total
in
8
months?
Solution
To find out how much Olton will have in total after 8 months in a savings account with an annual interest rate of 11%, we use the simple interest formula:
Where:
- is the principal amount.
- is the annual interest rate (expressed as a decimal).
- is the time period in years.
Given:
- years (since 8 months is of a year or approximately 0.6667 years).
First, we calculate the simple interest:
Let's perform the calculation step by step:
Next, we add the interest to the principal amount to find the total amount after 8 months:
Therefore, Olton will have ₹69,038.19 in total after 8 months.
Do you want details or have any questions?
Here are 8 related questions that expand on this information:
- How much would Olton have after one year with the same interest rate?
- How would the total amount change if the interest rate were 12% instead of 11%?
- What is the difference in total amount if the time period were 6 months instead of 8 months?
- How can you calculate the total interest earned over a different period, such as 15 months?
- What would be the total amount if the principal were ₹50,000 instead?
- How does the frequency of interest application affect the total amount in a savings account?
- What is the formula for compound interest, and how does it differ from simple interest?
- How can you determine the time required to double the principal amount at a given interest rate using simple interest?
Tip: When calculating interest, ensure you accurately convert time periods into years to maintain precision in your calculations.
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Math Problem Analysis
Mathematical Concepts
Simple Interest
Time Conversion
Financial Mathematics
Formulas
Simple Interest formula: SI = P * r * t
Theorems
-
Suitable Grade Level
Grades 9-12
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