CAT 2024 Slot 1 QA Question 1: In September, the incomes of Kamal, Amal and Vimal are in the ratio 8 : 6 : 5. They rent a house together, and Kamal pays 15%, Amal pays 12% and Vimal pays 18% of their respective incomes to cover the

Question

In September, the incomes of Kamal, Amal and Vimal are in the ratio 8 : 6 : 5. They rent a house together, and Kamal pays 15%, Amal pays 12% and Vimal pays 18% of their respective incomes to cover the

Accepted Answer

Let the September incomes of Kamal, Amal and Vimal be $8x$, $6x$ and $5x$ respectively.
Rent paid in September = $15\%	imes 8x + 12\%	imes 6x + 18\%	imes 5x$
$= 1.2x + 0.72x + 0.9x$
$= 2.82x$
In October, the rent is unchanged, but the incomes become 10%, 12% and 15% higher respectively.
Total Oct