CAT (QA) PYQs

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 total house rent in that month. In October, the house rent remains unchanged while their incomes increase by $10\%$, $12\%$ and $15\%$, respectively. In October, the percentage of their total income that will be paid as house rent, is nearest to

Raju and Lalitha originally had marbles in the ratio $4:9$. Then Lalitha gave some of her marbles to Raju. As a result, the ratio of the number of marbles with Raju to that with Lalitha became $5:6$. What fraction of her original number of marbles was given by Lalitha to Raju?

Pinky is standing in a queue at a ticket counter. Suppose the ratio of the number of persons standing ahead of Pinky to the number of persons standing behind her in the queue is $3: 5$. If the total number of persons in the queue is less than $300$, then the maximum possible number of persons standing ahead of Pinky is