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Find the S.I and C.I p =ruppees 5000, n is equal to 2 years are equal 5 percentage per annum?
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Find the S.I and C.I p =ruppees 5000, n is equal to 2 years are equal ...
To calculate the Simple Interest (S.I) and Compound Interest (C.I) for a principal amount of ₹5000 over 2 years at an interest rate of 5% per annum, follow the steps below:
Simple Interest (S.I)
- The formula for calculating Simple Interest is:
S.I = (P × R × T) / 100
Where:
- P = Principal amount (₹5000)
- R = Rate of interest (5%)
- T = Time period (2 years)
- Substituting the values into the formula:
S.I = (5000 × 5 × 2) / 100
S.I = (50000) / 100
S.I = ₹500
Total Amount with S.I
- The total amount after 2 years with Simple Interest is:
Total Amount = Principal + S.I
Total Amount = 5000 + 500 = ₹5500
Compound Interest (C.I)
- The formula for calculating Compound Interest is:
C.I = P × (1 + R/100)^T - P
- Substituting the values into the formula:
C.I = 5000 × (1 + 5/100)^2 - 5000
C.I = 5000 × (1 + 0.05)^2 - 5000
C.I = 5000 × (1.05)^2 - 5000
C.I = 5000 × 1.1025 - 5000
C.I = 5512.5 - 5000 = ₹512.5
Total Amount with C.I
- The total amount after 2 years with Compound Interest is:
Total Amount = Principal + C.I
Total Amount = 5000 + 512.5 = ₹5512.5
In summary, the Simple Interest after 2 years is ₹500, while the Compound Interest is ₹512.5, leading to total amounts of ₹5500 and ₹5512.5 respectively.
Simple Interest (S.I)
- The formula for calculating Simple Interest is:
S.I = (P × R × T) / 100
Where:
- P = Principal amount (₹5000)
- R = Rate of interest (5%)
- T = Time period (2 years)
- Substituting the values into the formula:
S.I = (5000 × 5 × 2) / 100
S.I = (50000) / 100
S.I = ₹500
Total Amount with S.I
- The total amount after 2 years with Simple Interest is:
Total Amount = Principal + S.I
Total Amount = 5000 + 500 = ₹5500
Compound Interest (C.I)
- The formula for calculating Compound Interest is:
C.I = P × (1 + R/100)^T - P
- Substituting the values into the formula:
C.I = 5000 × (1 + 5/100)^2 - 5000
C.I = 5000 × (1 + 0.05)^2 - 5000
C.I = 5000 × (1.05)^2 - 5000
C.I = 5000 × 1.1025 - 5000
C.I = 5512.5 - 5000 = ₹512.5
Total Amount with C.I
- The total amount after 2 years with Compound Interest is:
Total Amount = Principal + C.I
Total Amount = 5000 + 512.5 = ₹5512.5
In summary, the Simple Interest after 2 years is ₹500, while the Compound Interest is ₹512.5, leading to total amounts of ₹5500 and ₹5512.5 respectively.
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Find the S.I and C.I p =ruppees 5000, n is equal to 2 years are equal 5 percentage per annum?
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Find the S.I and C.I p =ruppees 5000, n is equal to 2 years are equal 5 percentage per annum? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find the S.I and C.I p =ruppees 5000, n is equal to 2 years are equal 5 percentage per annum? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the S.I and C.I p =ruppees 5000, n is equal to 2 years are equal 5 percentage per annum?.
Find the S.I and C.I p =ruppees 5000, n is equal to 2 years are equal 5 percentage per annum? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find the S.I and C.I p =ruppees 5000, n is equal to 2 years are equal 5 percentage per annum? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the S.I and C.I p =ruppees 5000, n is equal to 2 years are equal 5 percentage per annum?.
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