Divide Rs.9000 in three parts so that their interests after 1, 2, 3 years at 10% per annum may be equal.

Explanation:

Let x, y, z be the three parts.

I1P1=Rs.x; R = 10% N1=1

I1=10x\100

I2P2=Rs.y; R = 10% N2=1

I2=20y\100

I3P3=Rs.z; R = 10% N3=1

I3=30z\100

Let k be the equal interest received by each part.

I1=I2=I3=k

10x=100k=>x=10k

20y=100k=>y=5k

30z=100k=>z=10\3k

x:y:z=10k:5k:10\3k

= 30k : 15k : 10k

= 6 : 3 : 2