# 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

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:

= ( 34522 -

Now we divide by  on both hand side , we get

= 34,522 -

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

$\frac{34,522}{2.157625}$

= 16000
So
Rohit share money = 16000 rs
And
Rajesh share = 34,522 - 16000 = ​18522 rs                          ( Ans )

• 8
What are you looking for?