a sum of Rs. 34533 is divided between rohit and rajesh, 18 years and 21 years old be invested at 5% per annum compound interest, both will receive equal at the age of 30 years. find the shares of each out of Rs. 34,522

Answer :
We have total money = Rs. 34,522
Let Rohit have share of money = Rs . 
And
Rajesh have share of money = Rs . 34,522 - 

Rate = 5%
Time for Rohit = 30 - 18 = 12 years
Time for Rajesh = 30 - 21 = 9 years
And they recieve equal money at that time So,

Rohit' s money = Rajesh money
Compound interest on  for 12 years = Compound interest on ( 34,522 - ) for 9 years As:

x 1  + 510012  = ( 34522 -  1  + 51009

Now we divide by  1  + 51009 on both hand side , we get

 1  + 51003 = 34,522 - 

( 1.05 )3 = 34,522 - 
1.157625= 34,522

34,5222.157625

= 16000  
So
Rohit share money = 16000 rs
And 
Rajesh share = 34,522 - 16000 = ‚Äč18522 rs                          ( Ans )

 

  • 7
What are you looking for?