Question

The sum of money becomes rs 2200 after three years and rs 4400 after six years in compound interest.The sum is

Answer 1

Answer:

1100

Step-by-step explanation:

Given The sum of money becomes rs 2200 after three years and rs 4400 after six years in compound interest.The sum is

So we use compound interest formula to find the sum.

C.I = P(1 + r/100) ^n

After 3 years, the sum of money is

2200 = p(1 + r/100) ^3--------------(a)

After 6 years the sum of money is

4400 = p(1 + r/100) ^6---------------(b)

(b) /(a) gives

4400 /2200 = p(1 + r/100) ^6 /  p(1 + r/100) ^3

p (1 + r/100) ^3 = 2 (because a ^m - a^n = a^m - n)

 From eqn (a)

  p(2) =2200

  p = 2200 / 2

 p = 1100

So the sum amounts to rs 1100