# The simple interest and compound interest on a certain sum of money for 2 years are rs.8000 and rs.8800 respectively.find the sum and rate% per annum ?

1
by ekalavyaachanta
difference between SI and CI ???

2015-05-04T17:00:06+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
S.I=P*R*T/100₉
8,000=P*R*2/100
8,000*100/2=P*R
P*R=4,00,000             ........(i)

C.I=P(1+R/100)
²  -P
8,800=P((100+R)/100)²  -P
⇒8,800 = P((100+R)²/10,000) - P
⇒8,800 = {P(100+R)² - 10,000P)/10,000
⇒8,800*10,000 = P(10,000+R² + 200R) - 10,000P           [(a+b)² = a² + b² + 2ab]
⇒8,800*10,000 = 10,000P + PR² + 200PR -10,000P
⇒8,800*10,000 = PR²+200PR
Substituting value of P*R,
⇒8,800*10,000 = 4,00,000R+8,00,00,000
⇒8,80,00,000-8,00,00,000 = 4,00,000R
⇒80,00,000 = 4,00,000R
⇒R = 80,00,000/4,00,000
⇒R = 20%
⇒P = Rs. 20,000