Against long-term capital gains on equity mutual funds, you can neither claim rebate u/s 87A nor any deduction under Chapter VIA like 80 C, 80 D, 80 DDB, 80G etc. However, in case your income other than long-term capital gains and short-term capital gains on listed equity shares and equity fund is below the taxable limits, such shortfall can be adjusted against taxable long-term capital gains as well as short-term capital gains of listed shares and equity schemes. You will have to pay the tax on the balance long term capital gains after such set-off.
Since your other income is 2,40,000 and presuming that you are not a senior citizen, you will be able to reduce the long-term capital gains by 10,000 due to shortfall against the basic exemption limit of Rs. 2,50,000/- and pay tax on the balance long term capital gains of Rs. 1,35,000/- under the old tax regime @ 10%.
If you opt for the new tax regime, after adjustment of shortfall of Rs. 60,000/- against the basic exemption limit of Rs. 3 lakhs applicable for the new tax regime, you will have to pay tax on the balance long term capital gains of Rs.85,000/- @ 10%.