Taxation

Am not very sure about this, but here's my attempt at it :

Well, if you're considering slab rate to be 110000, then calculation should be :

Net income  = 90000+20000+50000 = 160000

From this, LTCG and Lottery Income will be chargeable at separate rates , and since the income after deducting long term capital gain is equal to the slab rate, tax will only be charged on lottery income.

LTCG = 50000 (taxable at 20% u/s 112)

Lottery =20,000 (taxable at 30%)

Total tax payable = 10000 + 6000 = 16000

Hope this helps!

(PS Modified post)

 but you didn't think here will get exemption limit.

Well, you would have, but LTCG is chargeable on a separate basis. If net income less LTCG was less than the exemption limit, the LTCG portion would have gotten reduced by the amount by which net income is less than exemption limit. Basically, assuming you have income of 100000 from sources other than LTCG and income from LTCG as 20,000 (say) . Then :

Net LTCG chargeable to tax = 20,000 - ( Exemption limit - (Net income-LTCG))

In your case, LTCG being 50,000 , the calculation will be 

Net LTCG taxable = 50,000 - ( 1,10,000 - 1,10,000 )       ---- The 110000 being net income less LTCG