Mr. Pandit owned $950$ gold coins,all of which he distributed among his three daughters Lalita,Amita,and Neela. Lalita gave $25$ gold coins to her husband,Amita donated $15$ gold coins,and Neela made jewellery out of $30$ gold coins. The new respective ratio of the coins left with them was $20:73:83$. How many gold coins did Amita receive from Mr. Pandit?

In a college,$150$ students of $MBA$ are enrolled. The ratio of boys to girls is $7:8$. There are three disciplines in the college: Marketing,$HR$,and Finance. In the Marketing discipline,there are $50\%$ girls of their total number and the boys are $40\%$ of their total number. In the $HR$ discipline,girls are $30\%$ of their total number while boys are $30\%$ of their total number. The Finance discipline has girls $20\%$ of their total number and the boys are $30\%$ of their total number. $7$ boys and $9$ girls are in $HR$ and Marketing both. $6$ boys and $7$ girls are in $HR$ and Finance both. $5$ boys and $8$ girls are in Marketing and Finance both. $2$ boys and $3$ girls are enrolled in all the three disciplines. By what percent is the number of boys in the Marketing discipline more than the number of girls in the $HR$ discipline?

In an army selection process,the ratio of selected to unselected candidates was $4:1$. If $90$ less had applied and $20$ less were selected,the ratio of selected to unselected candidates would have been $5:1$. How many candidates had applied for the process?

Present ages of $X$ and $Y$ are in the ratio $5: 6$ respectively. Seven years hence,this ratio will become $6: 7$ respectively. What is $X$'s present age in years?

Three numbers $A, B$ and $C$ are in the ratio of $12: 15: 25$. If the sum of these numbers is $312$,find the ratio between the difference of $B$ and $A$ and the difference of $C$ and $B$.

The ratio of three numbers is $3:6:8$. If their product is $9216$,then what is the sum of the three numbers?