Find the amount and the compound interest on Rs. 8000 5% per annum 2 years, compounded annually. (2024)

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Find the amount and the compound interest on Rs. 8000 at 5% per annum for 2 years, compounded annually.

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Given:

Principal (P)=Rs. 8000

Rate of interest (R)=5% per annum

Time (T)=2 years

Total amount on compounded annually,

A=P×(1+R100)T

=Rs. 8000×(1+5100)2

=Rs. 8000×(1+120)2

=Rs. 8000×(2120)2

=Rs. 8000×2120×2120

=Rs. 20×21×21

=Rs. 8820

A=Rs. 8820---(1)

C.I=AP

=Rs. 8820Rs. 8000

=Rs. 820---(2)

Amount is Rs. 8820 and compound interest is Rs. 820.

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Find the amount and the compound interest on Rs. 8000 5% per annum 2 years, compounded annually. (2024)

FAQs

Find the amount and the compound interest on Rs. 8000 5% per annum 2 years, compounded annually.? ›

Amount=P(1+r100)n=8000(1+5100)2=8000×(1+120)2=8000×(2120)2=8000×441400=20×441=8820∴CI=Amount−Principal=8820−8000=820.

What is the compound interest on 8000 at 5% per annum for 2 years? ›

= Rs 820. Q. Find compound interest on Rs.

What is the compound interest on a sum of rupees 8000 for 2 years? ›

Therefore, the compound interest on a sum of rupees 8000 for 2 years at an annual interest rate of 5% compounded annually is 820 rupees. This means that after 2 years, the initial sum of 8000 rupees will have grown to 8820 rupees.

What amount will be received on a sum of RS 800 in 2 years at 5% PA if interest is compounded annually? ›

CI=882−800=Rs. 82. Find the compound interest on Rs. 10,000 for 25 years at 20% per annum, interest being payable half-yearly.

What is the amount of 8000 for 2 years at 12% per annum? ›

The correct Answer is:Rs 10035.2

Step by step video, text & image solution for Find the amount of Rs 8000 after 2 years at the rate of 12% per annum compounded annuallys. by Maths experts to help you in doubts & scoring excellent marks in Class 14 exams.

What is the compound interest on 8000 at 10 per annum for 2 years? ›

Detailed Solution
  1. Given: Time = 2 years. Rate = 10 % Principle = Rs. 8000.
  2. Concept: For half yearly, Time = 2 × 2 = 4. Rate = 10/2 = 5%
  3. Calculation: Amount = 8000 × (105%)4 ⇒ 8000 × (21/20)4 ⇒ 441 × 441/20. ⇒ 9724.05. Compound interest = Amount - Principle. C.I. = 9724.05 - 8000. C.I. = 1724.05.
Feb 7, 2024

How do you calculate 2 year compound interest? ›

Compound Interest Formula
  1. The formula for compound interest is A=P(1+rn)nt, where A represents the final balance after the interest has been calculated for the time, t, in years, on a principal amount, P, at an annual interest rate, r. ...
  2. To find the balance after two years, A, we need to use the formula, A=P(1+rn)nt.
Feb 16, 2024

What is the interest to be paid on $15,000 at 5% per annum after 2 years? ›

=P+I=15000+1500= Rs. 16,500.

What is the compound interest on rupees 10000 in 2 years at 4%? ›

∴ C.I. = ₹(10824.32 - 10000) = ₹824.32.

What is the amount of 8000 for 3 years compounded annually at 5 per annum? ›

∴Compoundinterest=A−P=9261−8000=1261.

What time does RS 800 amount to RS 882 at 5% per annum compounded annually? ›

∴ Time = 2 years.

What is the compound interest on Rs 8000 at 15? ›

Detailed Solution. ∴ The correct answer is Rs. 3109.

In what time will RS 8000 amount to RS 8820 at 5% PA compounded annually? ›

So, in 2 years the amount will become 8820 rupees.

What is the amount of Rs 8000 for 2 years compounded annually? ›

8000Period (n) = 2 yearsRate (R1)=9% for the first yearR2=10% the second year∴ Amount (A)= P (1+R1100)1(1+R2100)1=8000 (1+9100) (1+10100)=Rs. 8000×109100×110100=Rs. 9592.

What is the simple interest on $8000 for 4 years at 2% per annum? ›

Answer. So, the simple interest on 8000 naira for 4 years at a rate of 2% per annum is 160 naira.

What is 10000 for 2 years at 11 per annum compounded? ›

10000×111100×111100=Rs. 12321C.I = A - P = Rs. 12321 - 10000 = Rs. 2321.

What will be the compound interest on 10000 for 2 years at 5% per annum? ›

I=A−P=11,025−10,000=Rs. 1,025. Find the amount and the compound interest on Rs 10000 at 5% per annum, for 2 years compounded annually.

What is the compound interest on 4000 at 5 for 2 years? ›

∴ Compound interest is Rs. 410.

What is 5 per annum the compound interest on a certain sum for 2 years? ›

500 at 5% S.I for 1 years. What is the C.I at the same rate at the end of 2 years? The compound interest on a certain sum of the money at 5%per annum for 2 years is Rs. 328.

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