All Exams Test series for 1 year @ ₹349 only
Question

Gokul donates $17\%$ of his savings to old age home, $17\%$ of the savings to orphanage and $17\%$ of his savings to foundations for medical help. The remaining amount of Rs.$9800$ of savings is been deposited in bank. Find the salary of Gokul, if $50\%$ of the salary is his savings amount. (In Rs.)

The correct answer is
40000

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. $40000$.

Was this answer helpful?

Important Questions from Percentage (Notes)

  1. 20% of a number is more than 20% of 620 by 210. The number is:
  2. Girish scored 572 marks in an examination and was 30 marks short of 28% of maximum marks. In the same examination, his friend scored 473 marks. What is the percentage of marks scored by his friend?
  3. Anubhav spent 14% of his income on electricity bills, 28% on rent and 18% on shopping. If $\frac{1}{4}$ th of the remaining amount is ₹5120, how much did he spend on electricity bills ?
  4. The total population of a town is 50,000. The number of males and females increases by 10% and 15% respectively and consequently the population of the town becomes 56,000. What was the number of males in the town?
  5. There is an increase of 30% in the number of people coming to a theatre after reducing the entry fee by 25% per person. How much change is expected in the total earnings?
Need Expert Advice?

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App