Question

The difference between compound and simple interest on a certain principal at 15%per annum for 3 year is 2296.35rs. find the principal. ANSWER = 32400

Answer 1

Answer:

let p be the principal

ci=p(1+.15)^3=p1.52 si=p×.15×3=p0.45. ci-si=1.52p-.45p=1.07p=2296.35 So p=2296.35÷1.07=2146.12rs

Answer 2

Step-by-step explanation:

R = 15 %. (N=TIME)

T =3 years

p.a = 15÷3 = 5

suppose principal =100

SI = PTR÷100 = 100×3×15÷100 =45

COMPOUND INTEREST= P(1+R÷100)N

=100(1+15/100)3

LCM= 100×23/20×23/20×23/20

= 12167/80 = 152.09

CI =(15209/100-100) = 15209-10000/100 =

5209/100

Difference between CI-SI = 52.09-45 = 7.09

When the difference is = 7.09 - the principal is 100

when difference is 2296.35 = 100×100/709×229635/100 = 229635/709 =

rupees 32388.58

Thank you