Correct Answer - Option 4 : 46,800
Calculation:
To just avoid paying tax, the interest for the third year should be exactly Rs. 3000.
This interest is being calculated on the amount collected by the end of the second year i.e. just for one year.
For one year, simple and compound interest gives the same value.
Hence, let the amount that gives exactly Rs. 3000 as interest for 1 year at 6% be Rs. X.
⇒ x = 3000 × 100/6
⇒ x = 50000
Actual amount collected at 10% compounded annually for 2 years = 80000 × (1.1)2
⇒ Rs. 96,800
Hence, the amount that she should remove = 96800 – 50000
⇒ Rs. 46,800
The amount she should remove from her account to ensure that she just avoids paying the tax is 46,800.