$Rs. 366$ are divided among $A, B$ and $C$ such that $A$ gets $\frac{1}{2}$ as much as $B$ and $C$ together,and $B$ gets $\frac{2}{3}$ as much as $A$ and $C$ together. What is the share of $A$ (in $Rs.$)?

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.

$x$ varies inversely as the square of $y$. Given that $y=2$ when $x=1$. The value of $x$ when $y=6$ will be equal to:

If $A: B = 2: 3$ and $B: C = 3: 7,$ then $A + B : B + C : C + A$ is

$A$ year ago,the cost of Maruti and Figo were in the ratio of $3:4$. The ratio of present and past year costs of Maruti and Figo are $5:4$ and $3:2$,respectively. If the sum of their present costs is $7.8$ lacs,find the cost (in lacs) of Figo a year ago.

The ratio of three numbers is $3:4:5$ and the sum of their squares is $1250$. The sum of the numbers is: