the difference between simple interest and compound interest on a certain deposit for two years at 8 p.c.p.a. is Rs. 8/-. What is the amount of deposit

• r=8%
  n=2 years
  SI = p*n*r/100 => p*2*8/100 = 4p/25
  CI = Amount - p
  Amount = p(1 + r/100)^n
  => p(1 + 8/100)^2
  CI = p(27/25)^2 - p
  p(27/25)^2- p - 4p/25 = 8
  p[27*27 - 625 - 100]/625 = 8
  4p = 5000
  p = 1250
  
  Ans : Rs. 1250
• 10 years agoHelpfull: Yes(25) No(0)
• sohrt cut method: sum(amount)=diff of si and ci(100^2/rate^2)
  8*10000/64=12.5*100=1250
• 10 years agoHelpfull: Yes(8) No(0)
• later on
  1250/-
• 10 years agoHelpfull: Yes(0) No(2)
• SI=PTR/100
  CI=(1-(1+R/100)^n)P
  given R=8
  TIME=2
  we will get P=1250
  
• 9 years agoHelpfull: Yes(0) No(0)