Explanation:

Let's break down the problem step by step:

- Initial Allocation:

- Varun gave 60% of his money to his wife.

- Remaining money = 40% of the initial amount.

- Distribution to Children:

- He gave 10% of the remaining money to each of his three children, totaling another 30%.

- Remaining money after giving to children = 40% - 30% = 10% of the initial amount.

- Miscellaneous Spending:

- Three-fifths of this remaining 10% was spent on miscellaneous items.

- Remaining after miscellaneous expenses = 2/5 of 10% = 4% of the initial amount.

- Bank Deposit:

- This 4% is Rs 9,600.

Let's calculate the initial amount:

- 4% of the initial amount = Rs 9,600

- Therefore, the initial amount = Rs 9,600 / 0.04 = Rs 2,40,000

Checking the options:

- Option 1: Rs 2,00,000

- Option 2: Rs 1,80,000

- Option 3: Rs 1,50,000

- Option 4: Rs 1,60,000

The correct initial amount isn't listed in the given options. Therefore, none of the options is correct for the calculation based on Rs 9,600 being 4% of the starting amount.