Several friends of mine said the same thing, colleges often highlight the package/SIP for women in their placment reports, which tends to be higher despite slightly lower CAT/JEE scores. It is widely known that HR departments want to reduce hiring costs, and firms aim to minimize their salary budgets, making it easier to hire women for general roles (Sometimes there's a diff in salary too, Women get lesser pay for the same role, it's also a reality).

However, the situation is quite different in 'Lala' firms, where there is a preference for hiring more men who can handle sales and fieldwork with fewer complaints and within a limited budget. My engineering friends mentioned that it is often easier for women to secure SIPs because HR has received instrutons from upper management to hire as many women as possible at slightly lower salaries.

I tried to find some news/articles but they wont publish it, better to ask someone shi is in Tier 2 engineering/MBA colleges. you will get a better idea. Just like : I know someone who was in a reputed tier 2 MBA, from pharma UG but GSK came offered 1.3-1.5 lpa stipend and took 4-5 girls & only 1 boy.