At what rate percent per annum C.I will Rs 2,000 amount to Rs 2,315.25 (2024)

The correct Answer is:r=5%

To find the rate percent per annum at which Rs 2,000 will amount to Rs 2,315.25 in 3 years using the compound interest formula, we can follow these steps:

1. Identify the Given Values:
- Principal (P) = Rs 2,000
- Amount (A) = Rs 2,315.25
- Time (T) = 3 years

2. Use the Compound Interest Formula:
The formula for compound interest is:
A=P(1+r100)t
where:
- A = Amount
- P = Principal
- r = Rate of interest per annum
- t = Time in years

3. Substitute the Known Values into the Formula:
2315.25=2000(1+r100)3

4. Divide Both Sides by 2000:
2315.252000=(1+r100)3
1.157625=(1+r100)3

5. Take the Cube Root of Both Sides:
(3)1.157625=1+r100
Calculating the cube root:
1.05=1+r100

6. Isolate the Rate (r):
1.051=r100
0.05=r100

7. Multiply Both Sides by 100:
r=0.05×100
r=5

8. Conclusion:
The rate percent per annum is 5%.

At what rate percent per annum C.I will Rs 2,000 amount to Rs 2,315.25 (2024)

FAQs

At what rate percent per annum C.I will Rs 2,000 amount to Rs 2,315.25? ›

Therefore, rate of interest = 5% p.a.

At what rate percent will 2000 amount 22315.25 in 3 years at compound interest? ›

The rate percent per annum is 5%.

How to find rate percent per annum? ›

To calculate the interest rate per annum, you need to divide the amount of interest paid by the principal amount borrowed or invested, and then multiply by the number of periods in a year.

At what rate per cent per annum will a sum of Rs 2000 amount to Rs 2205 in 2 years compounded annually? ›

r = [(A/P)(1/t)] - 1, where 'r' is the annual interest rate, 'A' is the amount after 't' years, 'P' is the principal amount, and 't' is the time in years. Therefore, the annual interest rate that will grow an initial amount of ₹2,000 to ₹2,205 in 2 years, when calculated annually, is approximately 5%.

What is the simple interest on Rs 2000 at 5% per annum for 2 years? ›

Therefore, the simple interest for the situation given in the question is Rs. 200.

What is the compound interest on Rs 2000 at the rate of 5% for 2 years? ›

Hence the compound interest that needs to be paid after two year will be equal to Rs 205.

What is the rate per annum if 2000 amounts to 2315.25 in one and half years interest being compounded half yearly? ›

∴ Rate =5% half yearly or 10% p.a.

How do you calculate interest rate per annum? ›

The equation for calculating interest rates is as follows: Interest = P x R x N. Where P equals the principal amount (the beginning balance), and R stands for the interest rate (usually per year, expressed as a decimal). Finally, N corresponds to the number of time periods (generally one-year time periods).

How do I calculate my annual percentage rate? ›

APR = (((Interest charges + fees) ÷ Loan amount) ÷ Number of days in loan term x 365) x 100. This formula is a lot to digest and can help you understand how APR is calculated. Fortunately, the Truth in Lending Act requires lenders to disclose APR when they offer you credit.

At what rate percent per annum of compound interest will RS 2000 amount to RS 2332.8 in 2 years? ›

Given, Principal = 2000, A = 2332.80, Time n = 2 years. ⇒ r = 8. Therefore, R = 8%.

At what rate of interest will compound interest for RS 2000 be RS 205 in 2 years? ›

The compound interest of certain sum of money for 2 years at 5% per annum is Rs. 205.

At what percent per annum will sum of Rs 1000 amount to Rs 1102.50 in 2 years at compound interest? ›

∴ Rate =5% p.a.

What is the interest on Rs 20000 for 3 years at 5% per annum when the interest is compounded annually? ›

20000 for 3 year at 5% per annum, when the interest is compounded annually Pls help. Answer: The compounded interest = 3152.5 Rs.

What is the amount and compound interest on Rs 2000 at 5% per annum for 3 years? ›

315.25. Using the compound interest formula, we calculated the final amount after 3 years to be Rs. 2315.25 and the compound interest to be Rs. 315.25.

What is the rate of interest per annum if Rs 1200 amount to Rs 1440 in 4 years at simple interest? ›

∴ Rate (R) =100×IP×T=100×2401200×4=5% per annum.

What is the compound interest on Rs 1200 for 3 years at 5% per annum? ›

Find the compound interest at the rate of 5% per annum for 3 years on that principal which in 3 years at the rate of 5% per annum gives Rs 1200 as simple interest. ∴ The required compound interest is Rs. 1,261.

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