If a number is reduced by $40 \%$ it becomes two-thirds of another number. What is the ratio of the second number to the first number?

In a school,there were $1554$ students and the ratio of the number of boys to girls was $4:3$. After a few days,$30$ girls joined the school but some boys left; as a result,the ratio of boys to girls became $7:6$. The number of boys who left the school is:

₹ $1050$ are divided among $A, B$ and $C$ in such a way that the share of $A$ is $\frac{2}{5}$ of the combined share of $B$ and $C$. $A$ will get (in ₹):

The reciprocals of the square of the numbers $1 \frac{1}{2}$ and $1 \frac{1}{3}$ are in the ratio:

Amit,Sumit and Puneet share an amount of ₹ $660$ in the ratio of $3: 4: 5$. What is the share of Puneet (in ₹)?

In two alloys,gold and silver are in the ratios of $4:1$ and $1:3$. After alloying together $10 \text{ kg}$ of the first alloy,$16 \text{ kg}$ of the second,and several kilograms of pure gold,an alloy was obtained in which the ratio of gold to silver was $3:2$. Find the weight of the new alloy (in $\text{kg}$).