Multiple choice

A spends 50% salary on rent, 20% of the remaining salary on food and saves the remaining salary. Now, A's salary increases by 100% while his expenses on food and rent increase by 20% and 35%, respectively. Find the percentage of salary that A saves.

  1. 19.8%

  2. 20.5%

  3. 21.4%

  4. 60.25%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let initial salary be 100. Rent = 50, Remaining = 50. Food = 20% of 50 = 10. Savings = 40. New salary = 200. New Rent = 50 * 1.35 = 67.5. New Food = 10 * 1.2 = 12. Total expenses = 79.5. New Savings = 200 - 79.5 = 120.5. Percentage saved = (120.5 / 200) * 100 = 60.25%.

AI explanation

Let the initial salary be Rs. 100, making the initial rent Rs. 50 and the initial food expense Rs. 10, leaving savings of Rs. 40. The new salary is Rs. 200, and the new expenses are calculated using the old base amounts; the new rent is 50 multiplied by 1.35, which is Rs. 67.50, and the new food expense is 10 multiplied by 1.20, which is Rs. 12. The total new expenses sum to Rs. 79.50, making the new savings Rs. 200 minus Rs. 79.50, which equals Rs. 120.50. The percentage of the new salary saved is (120.50 / 200) multiplied by 100, resulting in 60.25%. The result is 60.25%.

Keep practicing — related questions