In a family,the ratio of expenses to savings is $5:3$. If the expenses increase by $60\%$ and the income increases by $25\%$,the savings decrease by $Rs. 3500$. Find the increased income (in $Rs.$) of the family.

Sachin is younger than Rahul by $4$ years. If their ages are in the respective ratio of $7:9$,how old (in years) is Sachin?

In a mixture of $60 \, \text{litres}$,the ratio of milk and water is $2:1$. What amount of water (in $\text{litres}$) must be added to make the ratio of milk and water $1:2$?

$A$ sum of $Rs. 86700$ is to be divided among $A, B$ and $C$ in such a manner that for every rupee that $A$ gets,$B$ gets $90$ paise and for every rupee that $B$ gets,$C$ gets $110$ paise. $B$'s share will be (in $Rs.$):

The ratio of the incomes of $A, B$ and $C$ is $3: 7: 4$ and the ratio of their expenditures is $4: 3: 5$. If in the income of $Rs. 2400$, $A$ saves $Rs. 300$, then the savings of $B$ and $C$ respectively are:

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 $\text{kg}$).