what sum of money should be invested for 5 years at 8 % p.a to earn the same intrest as rs 3600 at 10 % p.a for 4 years ?

Answer:

Simple Interest = SI = P x R x T /100

**For the first case:**

Principle Amount = P = Rs. 3600

Rate of Interest = R = 10%

Time = T = 4 years.

Simple Interest = SI = ?

So:

SI = P x R x T /100

SI = 36~~00~~x10x4/1~~00~~

SI = Rs.1440.

So the Simple Interest of the first case will be the Sinple Interest of the second case.

Then:

Principle Amount = P = ?

Rate of Interest = R = 8%

Time = T = 5 years

SI = Rs. 1440

So:

SI = P x R x T /100

1440 = Px8x5/100

40P = 144000

P = 144000/40 = Rs. 3600.

**Ans: Rs. 3600.**