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The simple interest on a certain sum for 8 monthsat 4% annum is ₹129 less than the simple interest on the same dum for 15 months at 5% annum. Find the Sum?
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The simple interest on a certain sum for 8 monthsat 4% annum is ₹129 l...
Understanding the Problem
We need to find the sum of money based on the simple interest calculated over different periods and rates.
Given Information
- Simple interest for 8 months at 4% per annum is ₹129 less than the simple interest for 15 months at 5% per annum.
Formulas to Remember
- Simple Interest (SI) = (Principal × Rate × Time) / 100
Calculating the Interests
1. Interest for 8 months at 4% per annum:
- Time = 8 months = 8/12 years = 2/3 years
- SI1 = (P × 4 × 2/3) / 100 = (8P/300)
2. Interest for 15 months at 5% per annum:
- Time = 15 months = 15/12 years = 5/4 years
- SI2 = (P × 5 × 5/4) / 100 = (25P/400) = (5P/80)
Setting up the Equation
- According to the problem:
SI1 + 129 = SI2
- Substituting the values:
(8P/300) + 129 = (5P/80)
Solving the Equation
1. Clear the fractions by finding a common denominator (2400):
- Multiply throughout by 2400.
2. Simplify and solve for P.
Final Calculation
- After substituting and simplifying, you will find the value of P (the principal).
Conclusion
This will give you the sum of money that fulfills the condition of the problem. Make sure to check your calculations for accuracy!
We need to find the sum of money based on the simple interest calculated over different periods and rates.
Given Information
- Simple interest for 8 months at 4% per annum is ₹129 less than the simple interest for 15 months at 5% per annum.
Formulas to Remember
- Simple Interest (SI) = (Principal × Rate × Time) / 100
Calculating the Interests
1. Interest for 8 months at 4% per annum:
- Time = 8 months = 8/12 years = 2/3 years
- SI1 = (P × 4 × 2/3) / 100 = (8P/300)
2. Interest for 15 months at 5% per annum:
- Time = 15 months = 15/12 years = 5/4 years
- SI2 = (P × 5 × 5/4) / 100 = (25P/400) = (5P/80)
Setting up the Equation
- According to the problem:
SI1 + 129 = SI2
- Substituting the values:
(8P/300) + 129 = (5P/80)
Solving the Equation
1. Clear the fractions by finding a common denominator (2400):
- Multiply throughout by 2400.
2. Simplify and solve for P.
Final Calculation
- After substituting and simplifying, you will find the value of P (the principal).
Conclusion
This will give you the sum of money that fulfills the condition of the problem. Make sure to check your calculations for accuracy!
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The simple interest on a certain sum for 8 monthsat 4% annum is ₹129 less than the simple interest on the same dum for 15 months at 5% annum. Find the Sum?
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The simple interest on a certain sum for 8 monthsat 4% annum is ₹129 less than the simple interest on the same dum for 15 months at 5% 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 The simple interest on a certain sum for 8 monthsat 4% annum is ₹129 less than the simple interest on the same dum for 15 months at 5% annum. Find the Sum? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The simple interest on a certain sum for 8 monthsat 4% annum is ₹129 less than the simple interest on the same dum for 15 months at 5% annum. Find the Sum?.
The simple interest on a certain sum for 8 monthsat 4% annum is ₹129 less than the simple interest on the same dum for 15 months at 5% 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 The simple interest on a certain sum for 8 monthsat 4% annum is ₹129 less than the simple interest on the same dum for 15 months at 5% annum. Find the Sum? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The simple interest on a certain sum for 8 monthsat 4% annum is ₹129 less than the simple interest on the same dum for 15 months at 5% annum. Find the Sum?.
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