Gopi gave 30% of the money he had to his parents, 15% of the remaining money to each of his 2 children, one-third of the money now left was spent for his personal expenses and the remaining money Rs.9800 was deposited in the bank. How much money did Gopi gave initially?

Let's denote the initial amount of money Gopi had as X.

1. Gopi gave 30% of his money to his parents, which means he was left with 70% of his initial money. We can express this as 0.7X.

2. He then gave 15% of the remaining money to each of his 2 children. So, he gave away 0.15 * 2 = 0.3 (or 30%) of the remaining money to his children. This means he was left with 70% of his remaining money, which we can express as 0.7 * 0.7X = 0.49X.

3. Gopi then spent one-third of the money left for his personal expenses. This means he was left with two-thirds of his remaining money, which we can express as 2/3 * 0.49X = 0.326X.

4. The problem states that the remaining money, which we've calculated as 0.326X, equals Rs.9800.

So, we can set up the equation 0.326X = 9800 and solve for X:

X = 9800 / 0.326 = Rs.30061.35

So, Gopi initially had approximately Rs.30061.35.

Let's denote the initial amount of money Gopi had as X.

1. Gopi gave 30% of his money to his parents, which means he was left with 70% of X. We can express this as 0.7X.

2. He then gave 15% of the remaining money to each of his 2 children. This totals to 30% of the remaining money. So, he was left with 70% of the remaining money, which can be expressed as 0.7 * 0.7X = 0.49X.

3. Gopi then spent one-third of the money left for his personal expenses. This means he was left with two-thirds of the money, which can be expressed as 2/3 * 0.49X = 0.326X.

4. The problem states that the remaining money, which is 0.326X, equals Rs.9800.

5. To find the initial amount of money Gopi had (X), we can set up the equation 0.326X = 9800 and solve for X.

6. Dividing both sides of the equation by 0.326 gives X = 9800 / 0.326 = Rs.30061.35 approximately.

So, Gopi initially had approximately Rs.30061.35.