Step 1: Calculate Total Donation Percentage
Gokul donates $17\%$ to three different causes. The total percentage of savings donated is:
$ \text{Total Donation Percentage} = 17\% + 17\% + 17\% = 51\% $
Step 2: Calculate Remaining Savings Percentage
The remaining percentage of savings after donations is:
$ \text{Remaining Percentage} = 100\% - 51\% = 49\% $
Step 3: Calculate Total Savings Amount
The remaining amount of Rs. $9800$ represents $49\%$ of Gokul's total savings. To find the total savings, we calculate:
$ \text{Total Savings} = \frac{\text{Remaining Amount}}{\text{Remaining Percentage}} \times 100 $
$ \text{Total Savings} = \frac{9800}{49\%} \times 100 = \frac{9800}{49} \times 100 $
$ \text{Total Savings} = 200 \times 100 = 20000 $
Gokul's total savings amount is Rs. $20000$.
Step 4: Calculate Gokul's Salary
We are given that Gokul's savings amount is $50\%$ of his salary. Therefore:
$ 50\% \text{ of Salary} = \text{Total Savings} $
$ 50\% \times \text{Salary} = 20000 $
$ \text{Salary} = \frac{20000}{50\%} = \frac{20000}{50} \times 100 $
$ \text{Salary} = 400 \times 100 = 40000 $
Gokul's salary is Rs. $40000$.