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

A stall sells popcorn and chips in packets of three sizes: large, super, and jumbo. The numbers of large, super, and jumbo packets in its stock are in the ratio $7: 17: 16$ for popcorn and $6: 15: 14$ for chips. If the total number of popcorn packets in its stock is the same as that of chips packets, then the numbers of jumbo popcorn packets and jumbo chips packets are in the ratio

The number of coins collected per week by two coin-collectors $A$ and $B$ are In the ratio $3:4$. If the total number of coins collected by $A$ in $5$ weeks is a multiple of $7$, and the total number of coins collected by $B$ in $3$ weeks is a multiple of $24$, then the minimum possible number of coins collected by $A$ in one week is