CAT (QA) PYQs

Rajesh and Vimal own $20$ hectares and $30$ hectares of agricultural land, respectively, which are entirely covered by wheat and mustard crops. The cultivation area of wheat and mustard in the land owned by Vimal are in the ratio of $5 : 3$. If the total cultivation area of wheat and mustard are in the ratio $11: 9$, then the ratio of cultivation area of wheat and mustard in the land owned by Rajesh is

A sum of money is split among Amal, Sunil and Mita so that the ratio of the shares of Amal and Sunil is $3: 2$, while the ratio of the shares of Sunil and Mita is $4: 5$. If the difference between the largest and the smallest of these three shares is Rs $400$, then Sunil's share, in rupees, is

Suppose, $C1, C2, C3, C4,$ and $C5$ are five companies. The profits made by $C1, C2,$ and $C3$ are in the ratio $9: 10: 8$ while the profits made by $C2, C4,$ and $C5$ are in the ratio $18:19:20$. If $C5$ has made a profit of Rs $19$ crore more than $C1$, then the total profit (in Rs) made by all five companies is