In a ratio $11: 14,$ if the antecedent is $55,$ the consequent is

Three numbers are in the ratio of $3:4:5$. The sum of the largest and the smallest equals the sum of the second and $52$. The smallest number is

In a college, $150$ students of $MBA$ are enrolled. The ratio of boys to girls is $7:8$. There are three disciplines: Marketing, $HR$, and Finance. In Marketing, $50\%$ of the girls and $40\%$ of the boys are enrolled. In $HR$, $30\%$ of the girls and $30\%$ of the boys are enrolled. In Finance, $20\%$ of the girls and $30\%$ of the boys are enrolled. $7$ boys and $9$ girls are in both $HR$ and Marketing. $6$ boys and $7$ girls are in both $HR$ and Finance. $5$ boys and $8$ girls are in both Marketing and Finance. $2$ boys and $3$ girls are in all three disciplines. Find the ratio of the number of boys in both Marketing and Finance to the number of girls only in Finance.

What will be the inverse ratio of $17: 19$?

An alloy of copper and zinc is taken in the ratio $1: 2$,and another alloy of the same metals is taken in the ratio of $2: 3$. How many parts of the two alloys must be taken to obtain a new alloy consisting of copper and zinc that are in the ratio $3: 5$?

₹ $11,550$ has to be divided between $X$,$Y$,and $Z$ such that $X$ gets $\frac{4}{5}$ of what $Y$ gets and $Y$ gets $\frac{2}{3}$ of what $Z$ gets. How much more does $Z$ get over $X$ (in ₹)?