A sum of money lent at compound interest for 2 years at 20% per annum would fetch Rs.482 more, if the interest was payable half yearly than if it was payable annually . The sum is

• 20000 Rs.
  
  Interest @20% per annum=10% half yearly
  If sum=x, then Compound Interest=x[1+(r/100)]^n -x , where r=rate ,n=year
  So x[1+(10/100)]^4 -x = x[1+(20/100)]^2 -x + 482
  x(1+0.1)^4 -x= x(1.2)^2 -x +482
  1.4641x=1.44x+482
  x=20000
• 9 years agoHelpfull: Yes(4) No(0)