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A sum of money becomes double itself in 5 years at S.I. In how many year will it become 4 times at the same rate.?
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A sum of money becomes double itself in 5 years at S.I. In how many ye...
Understanding Simple Interest (S.I.)
When a sum of money doubles in 5 years at Simple Interest (S.I.), we can derive the rate of interest and then use it to calculate how long it would take for the money to quadruple.
Doubling the Money
- If a principal amount (P) becomes double, it means:
- Amount (A) = 2P
- Using the formula for S.I.: A = P + (P * R * T)
- Here, R is the rate of interest and T is the time in years.
- From the problem:
- 2P = P + (P * R * 5)
- Rearranging gives us: P = P * R * 5
- This simplifies to: R = 1/5 or 20%
Calculating Time for Quadrupling
- Now, to find out how long it will take for the principal to become four times (4P):
- Using the same formula:
- 4P = P + (P * R * T)
- Rearranging gives us:
- 4P - P = P * R * T
- 3P = P * R * T
- Canceling P gives us: 3 = R * T
Substituting the Rate
- We already found R = 20% or 0.2.
- Now, substituting R into the equation:
- 3 = 0.2 * T
- T = 3 / 0.2
- T = 15 years
Conclusion
Thus, it will take 15 years for the sum of money to become four times its original amount at the same rate of interest.
When a sum of money doubles in 5 years at Simple Interest (S.I.), we can derive the rate of interest and then use it to calculate how long it would take for the money to quadruple.
Doubling the Money
- If a principal amount (P) becomes double, it means:
- Amount (A) = 2P
- Using the formula for S.I.: A = P + (P * R * T)
- Here, R is the rate of interest and T is the time in years.
- From the problem:
- 2P = P + (P * R * 5)
- Rearranging gives us: P = P * R * 5
- This simplifies to: R = 1/5 or 20%
Calculating Time for Quadrupling
- Now, to find out how long it will take for the principal to become four times (4P):
- Using the same formula:
- 4P = P + (P * R * T)
- Rearranging gives us:
- 4P - P = P * R * T
- 3P = P * R * T
- Canceling P gives us: 3 = R * T
Substituting the Rate
- We already found R = 20% or 0.2.
- Now, substituting R into the equation:
- 3 = 0.2 * T
- T = 3 / 0.2
- T = 15 years
Conclusion
Thus, it will take 15 years for the sum of money to become four times its original amount at the same rate of interest.
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A sum of money becomes double itself in 5 years at S.I. In how many year will it become 4 times at the same rate.?
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A sum of money becomes double itself in 5 years at S.I. In how many year will it become 4 times at the same 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 A sum of money becomes double itself in 5 years at S.I. In how many year will it become 4 times at the same rate.? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sum of money becomes double itself in 5 years at S.I. In how many year will it become 4 times at the same rate.?.
A sum of money becomes double itself in 5 years at S.I. In how many year will it become 4 times at the same 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 A sum of money becomes double itself in 5 years at S.I. In how many year will it become 4 times at the same rate.? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sum of money becomes double itself in 5 years at S.I. In how many year will it become 4 times at the same rate.?.
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