Question

The difference between the compound interest for 1 year,compounded half-yearly and the simple interest for 1 year on a certain sum of money at 10%p.a is rs 360.Find the sum

Answer 1

Answer:

 think its 396

Step-by-step explanation:

Answer 2

Answer:

144000

Step-by-step explanation:

CI-SI=360

now lets find ci

ci=amount - principal

let p denote principal

ci=p[1+r/200]^2     since it is compounded half yearly

ci=441/400 - p

ci=41/400p

now for si

si=principal*rate*time divided by 100

si=p*10*1 divided by 100

si=10p/100

si=p/10

now we put it in the equation ci-si=360

41/400p-p/10=360

after simplifying we get p/400=360

now p=400*360=144000

therefore principal=144000