# Compound Intrest

**Vedic Maths trick to find Compound Intrest**

### Simple Interest

Simple Interest = S.I.

Principal = P

Rate Of Interes = R

Time = T

Amount = A

**1) S.I. = A - P**

**2) S.I. = P * R * T / 100**

### Compound Interest

Compound Interest = C.I.

Principal = P

Rate Of Interes = r

Time = n

Amount = A

**1) C.I. = A - P**

**2) A = P [ 1 + r / 100 ] ^{n}**

**3) C.I. = A - P
C.I. = P [ 1 + r / 100 ] ^{n} - P
C.I. = P [ (1 + r / 100 )^{n} - 1 ] **

### Compound Interest If Time Is In Mix Number

If time = 3 1/2 then

**A = P [ 1 + r / 100 ] ^{3} - [ 1 + r/2 / 100]**

Here for half year we will multiply 2 in time that is (1/2 * 2 = 1) and divide the rate of interest by 2 that is (r / 2).

If time = 2 1/4 then

**A = P [ 1 + r / 100 ] ^{2} - [ 1 + r/4 / 100]**

Here for 1/4 year we will multiply 4 in time that is (1/4 * 4 = 1) and divide the rate of interest by 4 that is (r / 4).

### Compound Interest If Rate Of Interest Are Different

Rate Of Interest = First year is 10% & Second year is 12%

Let r_{1} = 10% & r_{2} = 12%

**A = P [ 1 + r _{1} / 100 ] [ 1 + r_{2}/ 100]**