**A sum of money amounts to rs.6690 after 3 years and to rs.10,035 after 6 years on compound interest. Find the sum.**

3467

4560

4460

7890

C. 4460

*Let the sum be rs.P.then*

*P(1+R/100) ^{3}=6690…(i) and P(1+R/100)^{6}=10035…(ii)*

*On dividing, we get (1+R/100) ^{3}=10025/6690=3/2.*

*Substituting this value in (i),we get:*

*P*3/2=6690 or P=(6690*2/3)=4460*

*Hence, the sum is rs.4460.*