Answer: To calculate the amount received after 6 months with tax levied on the interest, we need to first find the interest earned and then subtract the tax amount.
Given:
Principal amount (P) = Rs 75,000
Interest rate (R) = 5.6% per year
Time (t) = 6 months = 6/12 years (since the interest rate is annual)
Step 1: Calculate the interest earned over 6 months.
Interest (I) = P * R * t
Interest (I) = 75000 * 0.056 * (6/12)
Interest (I) = 75000 * 0.028
Interest (I) = 2100
Step 2: Calculate the tax amount on the interest earned.
Tax rate = 5% of the interest
Tax amount = 0.05 * 2100
Tax amount = 105
Step 3: Subtract the tax amount from the interest earned to get the net interest.
Net interest = Interest - Tax amount
Net interest = 2100 - 105
Net interest = 1995
Step 4: Add the net interest to the principal amount to get the total amount received after 6 months.
Total amount = Principal amount + Net interest
Total amount = 75000 + 1995
Total amount = 76995
So, the amount received after 6 months with tax levied on the interest is Rs 76,995.