Hmmm. But if i unstake i will have appropriate reward from both right?

No, the Apr rate shown should be correct on a longer scale, how long have you been staking for ?

For long time. But inorder to follow rewards monthly i claim. So if i am about to claim reward there will be lost reward because of this waiting time?

No rewards are lost, if a Validator doesn't validate they don't earn rewards, it will balance our as the consensus is random, see above. The 10 days unbonding period is for the security of the network and the Validators themselves. You don't earn rewards during the 10 day unbonding period