Azam and Giri have equal amounts. Azam invested all his amount at 20% compounded annually for 2 years and Giri invested 1/3 at 20% compound interest (annually) and rest at R% per annum at simple interest for the same two years. The amount received by both at the end of 2 years is same what is the value of R?

Solution : 

Since , Azam amounnt = Giri amount 

As given in question , so Amount = P+Si or Ci

Let Azam P=100 then ,

20% for 2 yr = 20+20+20*20/100 =44%

net effective interest & Amount = 144%

And Giri invested 1/3 so 1/3*144% and left

2/3 woul'd be 2/3*(100+2r%)

And acc to  Question : Azam amount = Giri

Amount 

So, 144% = 1/3*144% + 2/3*(100+ 2r%)

r=22% Ans.