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On a certain sum the interest paid after 3 years is 45 at 5% rate of interest per annum find the sum?
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On a certain sum the interest paid after 3 years is 45 at 5% rate of i...
Understanding Simple Interest
To find the principal sum when given the interest, rate, and time, we can use the formula for simple interest.
Simple Interest Formula
The formula for calculating simple interest (SI) is:
SI = (Principal × Rate × Time) / 100
Where:
- SI = Simple Interest
- Principal = The initial amount of money
- Rate = The interest rate per annum
- Time = The period in years
Given Information
- Interest (SI) = 45
- Rate (R) = 5%
- Time (T) = 3 years
Finding the Principal
We need to rearrange the simple interest formula to solve for Principal (P):
P = (SI × 100) / (R × T)
Now, plug in the values we have:
- SI = 45
- R = 5
- T = 3
Calculating the Principal
1. Substitute the values into the formula:
P = (45 × 100) / (5 × 3)
2. Calculate the denominator:
5 × 3 = 15
3. Now calculate:
P = (45 × 100) / 15
4. Multiply 45 by 100:
4500 / 15 = 300
Final Answer
The principal sum is 300.
This means the original amount of money invested was 300 before earning 45 in interest over 3 years at a 5% interest rate per annum.
To find the principal sum when given the interest, rate, and time, we can use the formula for simple interest.
Simple Interest Formula
The formula for calculating simple interest (SI) is:
SI = (Principal × Rate × Time) / 100
Where:
- SI = Simple Interest
- Principal = The initial amount of money
- Rate = The interest rate per annum
- Time = The period in years
Given Information
- Interest (SI) = 45
- Rate (R) = 5%
- Time (T) = 3 years
Finding the Principal
We need to rearrange the simple interest formula to solve for Principal (P):
P = (SI × 100) / (R × T)
Now, plug in the values we have:
- SI = 45
- R = 5
- T = 3
Calculating the Principal
1. Substitute the values into the formula:
P = (45 × 100) / (5 × 3)
2. Calculate the denominator:
5 × 3 = 15
3. Now calculate:
P = (45 × 100) / 15
4. Multiply 45 by 100:
4500 / 15 = 300
Final Answer
The principal sum is 300.
This means the original amount of money invested was 300 before earning 45 in interest over 3 years at a 5% interest rate per annum.
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On a certain sum the interest paid after 3 years is 45 at 5% rate of interest per annum find the sum?
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On a certain sum the interest paid after 3 years is 45 at 5% rate of interest per annum find the sum? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about On a certain sum the interest paid after 3 years is 45 at 5% rate of interest per annum find the sum? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On a certain sum the interest paid after 3 years is 45 at 5% rate of interest per annum find the sum?.
On a certain sum the interest paid after 3 years is 45 at 5% rate of interest per annum find the sum? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about On a certain sum the interest paid after 3 years is 45 at 5% rate of interest per annum find the sum? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On a certain sum the interest paid after 3 years is 45 at 5% rate of interest per annum find the sum?.
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