Percentages Question 2 - CAT 2024
Question
In September, the incomes of Kamal, Amal, and Vimal are in the ratio 8 : 6 : 5. They rent a house together.
- Kamal pays 15% of his income as rent.
- Amal pays 12% of his income as rent.
- Vimal pays 18% of his income as rent.
In October, the house rent remains unchanged, while their incomes increase by:
- 10% (Kamal)
- 12% (Amal)
- 15% (Vimal)
The percentage of their total income paid as house rent in October is nearest to:
Step-by-Step Explanation
Assume the September incomes are:
- Kamal = 80x
- Amal = 60x
- Vimal = 50x
Their rent contributions are:
- Kamal = 15% of 80x = 12x
- Amal = 12% of 60x = 7.2x
- Vimal = 18% of 50x = 9x
Total rent:
12x + 7.2x + 9x = 28.2x
In October, the incomes become:
- Kamal = 88x
- Amal = 67.2x
- Vimal = 57.5x
Total October income:
88x + 67.2x + 57.5x = 212.7x
Since the rent remains the same,
28.2 / 212.7 × 100 ≈ 13.26%
Therefore, the correct answer is 13.26%.
💡 FundaMakers Tip: If the total expense remains constant but incomes increase, first calculate the new total income, then find the required percentage.