- At what rate percent per annum will Rs. 75,000 yields a compound interest of Rs. 6,120 in 6 months, if the interest is being compounded quarterly? Calculat...
- The simple interest on a sum of money will be Rs. 800 after 10 years. If the principal is tripled after 5 years, what will be total interest at the end of ...
- A sum of money amounts to Rs 250 in 4 years and Rs 432 in 7 years at a compound rate of interest. What is the rate of interest per annum?
- Divide Rs. 53,285 into two parts such that the amount received from first part after 12 years is equal to the amount received from second part after 8 year...
- A sum of money amounts to Rs 1024 in 4 years and Rs 1458 in 7 years at a compound rate of interest. What is the rate of interest per annum?
- Find the compound Interest on Rs. 16,000 @15 % p.a for 2 years 4 month Compounded annually?
- Divide Rs. 2,440 into two parts such that the first part after 10 years is equal to the second part after 8 years, compound interest being 20% per annum co...
- In 3 years, Rs. 6000 amounts to Rs. 7986 at certain rate of compound Interest, compounded annually. Find the rate %?
- A certain sum of money yields Rs. 8,334 as compound interest for 3 years at 15% per annum. Calculate the approximate compound interest on the same amount o...
- The C.I on a sum of Rs. 6400 becomes Rs. 1276.5625 in 9 months. Find the rate of interest, if the rate of interest is compounded quarterly?
- Divide Rs. 53,285 into two parts such that the amount received from first part after 12 years is equal to the amount received from second part after 8 year...
- Neena invested Rs.15000 in a fixed deposit scheme for 2 yrs at CI of 9% p.a. How much will Neena get on maturity of the fixed deposit?
- What will be the CI on a sum of Rs.50,000 after 3 years at the rate of 11%p.a? ...
- What will be the CI on a sum of Rs.70,000 after 3 years at the rate of 8%p.a?
- Avantika gets a SI of Rs.4800 on a certain principal at the rate of 6%p.a. in 4 years. What CI will she get on twice the principal in two years at the same...
- A Bank came up with an interesting investment plan under which it would offer 6% interest compounded half-yearly. Mr. 'X' deposited ₹ 80000 once at the b...
- Soni gets a SI of Rs. 3360 on a certain principal at the rate of 7%p.a. in 3 years. What CI will she get on twice the principal in two years at the same ra...
- A person took a loan of Rs 1500 from an investor for at 20% p.a. on compound interest for 2 years. But he paid only 80% of amount after 2 years. And invest...
- What is the compound interest on a sum of Rs 12,000 for 2(5/8) years at 8% p.a., when the interest is compounded annually? (nearest to a rupee)
- 'A' invests Rs.10,000 for 3 years at a certain rate of interest. At the end of the second year, it amounts to Rs.11,664. Calculate the rate of interest per...
- The compound interest on a sum of ₹ 5,500 at 15% p.a. for 2 years, when the interest is compounded 8 monthly, is:
- An article is marked 35% above its cost. If a profit of 20% is earned by selling the article, then the discount per cent offered on the marked price of the...
- What is the difference between the compound interest, when interest is compounded 5-monthly, and the simple interest on a sum of ₹12,000 for 1(1/4) years...
- The compound interest on Rs. 30,000 at 7%per annum for n years is Rs. 4347. The value of n is
- A invest Rs. X at 10% compound interest for 3 years. If difference between the interest of 3rd year and 2nd year is Rs. 1210, find the value of X.
- At what percentage rate, compound interest compounded annually for a sum of ₹40,000, will amount to ₹44,100 in two years?
- Compound interest on a certain sum of money for 2 years is Rs.2660 while the simple interest on the same sum for the same time period is Rs.2500. Find the ...
- The difference between simple and compound interest on a sum of Rs.1000 at the end of two years is Rs10. Find the total CI on a sum after 3 years is?
- Sara deposited Rs. 18,000 into an investment that offers a compound interest rate of 20% per annum, with semi-annual compounding. Calculate the interest ac...
- Amit deposited Rs. 15,000 into an investment with a 12% annual compound interest rate for a duration of two years. Calculate the total interest earned by A...
- Determine the compound interest earned on a principal amount of Rs. 10,000, which is invested at an annual interest rate of 42%, with interest being compou...
- What is the rate of compound interest annually? I. An amount doubles itself in 5 years on simple interest II. Difference between the compound interest and ...
- The difference of compound interest on Rs. 800 for 1 year at 20% per annum when interest is being compounded. Half-yearly and quarterly
- A certain sum invested at compound interest of 10% p. a compounded annually, returns Rs. 6292 after 2 years. If a 20% greater sum is invested at a simple i...
- The certain sum amounts to Rs11313.5 in 2(1/2) years at 12% p.a., interest compounded 10 months. The sum (in Rs) is:
- A property dealer bought a rectangular plot in Noida five years ago at the rate of Rs. 1000 thousand per square meter, the cost of plot increases by 5% eve...
- A sum of ₹ 2,400 compounded annually at a certain rate of compound interest in 2 years amounts to ₹ 2,904. What will be the simple interest (in ₹) on...

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Compound interest is the interest imposed on a loan or deposit amount. It is the most commonly used concept in our daily existence. The compound interest for an amount depends on both Principal and interest gained over periods. This is the main difference between compound and simple interest.

Suppose we observe our bank statements, we generally notice that some interest is credited to our account every year. This interest varies with each year for the same principal amount. We can see that interest increases for successive years. Hence, we can conclude that the interest charged by the bank is not simple interest; this interest is known as compound interest or CI. Compound interest finds its usage in most of the transactions in the banking and finance sectors and other areas. Some of its applications are:

Increase or decrease in population.

The growth of bacteria.

Rise or Depreciation in the value of an item.

Compound Interest in Maths

In Maths, Compound interest can be calculated in different ways for different situations. We can use the interest formula of compound interest to ease the calculations. To calculate compound interest, we need to know the amount and principal. It is the difference between amount and principal.

Compound Interest Formula

As we have already discussed, the compound interest is the interest-based on the initial principal amount and the interest collected over the period of time. The compound interest formula is given below:

Compound Interest = Amount – Principal

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