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S.I. on a certain sum of money is 1/6th of the principle and the number of months is equal to twice the rate percent, find the rate.?
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S.I. on a certain sum of money is 1/6th of the principle and the numbe...
Understanding the Problem
To solve for the rate of interest, we start by identifying the given information:
- Simple Interest (SI) is 1/6th of the principal (P).
- The number of months (t) is equal to twice the rate percent (R).
Formulas to Use
The formula for Simple Interest is:
- SI = (P * R * T) / 100
Where:
- SI = Simple Interest
- P = Principal
- R = Rate of interest per annum
- T = Time in years
Since the time is given in months, we convert the months to years:
- T = Months / 12
Given Information Breakdown
1. From the problem, we know:
- SI = P/6
- T = 2R/12 (as months = 2 * R)
Setting Up the Equation
Using the SI formula:
- P/6 = (P * R * (2R/12)) / 100
Simplifying this equation:
- P/6 = (P * R * R) / 600
Since P is common on both sides, we can cancel it out, assuming P is not zero:
- 1/6 = (R * R) / 600
Solving for R
Cross-multiplying gives:
- R^2 = 600 / 6
- R^2 = 100
- R = 10
Conclusion
The rate of interest (R) is:
- Rate = 10%
This means the rate of interest for the given sum of money is 10%.
To solve for the rate of interest, we start by identifying the given information:
- Simple Interest (SI) is 1/6th of the principal (P).
- The number of months (t) is equal to twice the rate percent (R).
Formulas to Use
The formula for Simple Interest is:
- SI = (P * R * T) / 100
Where:
- SI = Simple Interest
- P = Principal
- R = Rate of interest per annum
- T = Time in years
Since the time is given in months, we convert the months to years:
- T = Months / 12
Given Information Breakdown
1. From the problem, we know:
- SI = P/6
- T = 2R/12 (as months = 2 * R)
Setting Up the Equation
Using the SI formula:
- P/6 = (P * R * (2R/12)) / 100
Simplifying this equation:
- P/6 = (P * R * R) / 600
Since P is common on both sides, we can cancel it out, assuming P is not zero:
- 1/6 = (R * R) / 600
Solving for R
Cross-multiplying gives:
- R^2 = 600 / 6
- R^2 = 100
- R = 10
Conclusion
The rate of interest (R) is:
- Rate = 10%
This means the rate of interest for the given sum of money is 10%.
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S.I. on a certain sum of money is 1/6th of the principle and the number of months is equal to twice the rate percent, find the rate.?
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S.I. on a certain sum of money is 1/6th of the principle and the number of months is equal to twice the rate percent, find the rate.? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about S.I. on a certain sum of money is 1/6th of the principle and the number of months is equal to twice the rate percent, find the rate.? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for S.I. on a certain sum of money is 1/6th of the principle and the number of months is equal to twice the rate percent, find the rate.?.
S.I. on a certain sum of money is 1/6th of the principle and the number of months is equal to twice the rate percent, find the rate.? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about S.I. on a certain sum of money is 1/6th of the principle and the number of months is equal to twice the rate percent, find the rate.? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for S.I. on a certain sum of money is 1/6th of the principle and the number of months is equal to twice the rate percent, find the rate.?.
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