[Solved] Find the compound interest on Rs. 50000 for 3 years if the r (2024)

Given:

Rs. 50000 for 3 years if the rate of interest is 5% for the first year, 6% for the second year, and 10% for the third year.

Concept used:

One year of compound interest on a certain sum of money is equal to the one-year of simple interest on the same amount.

Simple Interest, SI = (P × R × T)/100

Amount = P + SI

where

P = Principal amount

R = Rate of interest per year

T = Time in years

Calculation:

According to the concept,

The amount becomes at the end of the first year

⇒ 50,000 + (50,000× 5× 1)/100

⇒ 50,000 + 2500

⇒ 52,500

The amount becomes at the end of the secondyear

⇒ 52,500 + (52,500× 6× 1)/100

52,500 + 3150

⇒ 55,650

The amount becomes at the end of the third year

55,650 + (55,650× 10× 1)/100

55,650 + 5565

⇒ 61,215

Now, the compound interest incurred

⇒61,215 - 50,000

⇒ 11,215

∴ The compound intereston Rs. 50000 for 3 years if the rate of interest is 5% for the first year, 6% for the second year, and 10% for the third year isRs. 11215.

[Solved] Find the compound interest on Rs. 50000 for 3 years if the r (2024)

FAQs

What will be the compound interest on a sum of Rs 50000 after 3 years at the rate of 12% pa? ›

Solution: The compound interest is Rs. 20,246.4. We know that the compound interest is the product of the principal sum, (1+rate)/100 to the power of the number of years.

How to calculate rate of interest for compound interest for 3 years? ›

For example, if you have an investment that earns 5% compound interest and you want to know how much money you'll have after 3 years, you would plug the following values into the formula: A = P(1 + r/n)^nt. A = 1000(1 + 0.05/1)^3. A = 1000(1.05)^3.

What will be the compound interest on Rs 5000 for 3 years at the rate of 10% pa? ›

Where, C.I. = Compound Interest. A3 = 5000 × 11/10 × 11/10 × 11/10 = 6,655. ⇒ 6655 - 5000 = Rs 1655.

What is the compound interest of 10000 for 3 years? ›

Hence, the compound interest amount on Rs. 10,000 for 3 years at an annual interest rate of 10% is Rs. 13,310.

How much will Rs 50000 amount to in 3 years compounded yearly if the rates for the successive years are 6% 8% and 10% respectively? ›

Complete step-by-step answer:

For the third year, the above resulting amount will be the principal amount and R is 10%. Therefore, Rs. 50,000 in 3 years, compounded yearly, if the rates for the successive years are 6%, 8% and 10% respectively will amount to Rs. 62,964.

What is the amount and compound interest on rs 25000 for 3 years at 12 per annum compounded annually? ›

25000 after 3 years at the rate of 12 per cent p.a.? Rs. 10123.20.

How much will Rs 50000 amount to in 2 years at 5% interest rate compounded annually? ›

The amount to be paid at the end of 2 years is 55125. Therefore, the compound interest is 5125 and the amount to be paid at the end of 2 years is 55125.

What is the 3 year trick for compound interest? ›

principal (3rd yr) = Amount (2nd yr) = Principal(2nd yr)+Interest(2nd yr) = 1100+110 = 1210 CI (3rd yr) = (1210×10×1)/100 = 121 Hence total CI for 3yrs = 100+110+121 = 331 Amount after 3 yrs = 1331 Interest is always calculated on the Principal. But in the case of CI, the Principal is get changed every year.

How to calculate interest over 3 years? ›

An amount may be invested for more than one year. To work out the total by the end of the investment period, calculate the interest for the first year and add it to the total. Then calculate the new interest for the second year and add that to the total. Repeat this for each year of investment.

How do I calculate interest on a 3 year loan? ›

Simple interest

To calculate the total interest you will pay over the life of your loan multiply the principal amount by the interest rate and the lending term in years.

What is the amount and compound interest on ₹ 5000 for 3 years per annum compounded annually? ›

Compound interest =₹6655−₹5000=₹1655.

What is the interest obtained on a sum of rupees 5000 for 3 years? ›

Thus, R=10% Q. Interest obtained on a sum of ₹5000 for 3 years is ₹1500.

How much will be the compound interest on Rs 8000 after 3 years at the rate of 5% per annum? ›

∴Compoundinterest=A−P=9261−8000=1261.

What is the compound interest 5% for 3 years? ›

The compound interest for 3 years at the rate of 5% per annum on the principal amount of Rs 8000 is Rs 1261.

What is the amount and the compound interest on 50000 for 2 years? ›

= 52030.2005 ans​ Answer: Amount and compound interest on Rs 50000 for 2 years at the rate of 2% per annum compounded half yearly are Rs 52030.20 and Rs 2030.20 respectively.

What is the compound interest on 15000 for 3 years? ›

= ₹ 18889.20- ₹ 15000= ₹ 3889.20.

How much interest will $50,000 earn in a year? ›

How much interest will I earn on £50,000? With £50,000 in West Brom Building Society's easy access account paying 4.9%, you could earn £2,450.00 over a year, or £204.17 per month.

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