In a major relief to taxpayers, Finance Minister Nirmala Sitharaman had announced revised tax slabs and rates under the new tax regime. Those earning up to Rs 12 lakh per annum (or Rs 12.75 lakh for salaried individuals who get a standard deduction of Rs 75,000) will now pay no tax at all. Previously, the threshold for zero tax payment was set at Rs 7 lakh. But what if you earn more than this threshold amount? Can you still save more tax?