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.

$A$'s income is ₹ $140$ more than $B$'s income and $C$'s income is ₹ $80$ more than $D$'s. If the ratio of $A$'s and $C$'s incomes is $2:3$ and the ratio of $B$'s and $D$'s incomes is $1:2$,then the incomes of $A, B, C$ and $D$ are respectively (in ₹):

Calculate the fourth proportional to the numbers $286, 78, 1342$.

If $53 \%$ of a number is $358$ less than the square of $26$,what is the value of $\frac{3}{4}$ of $23 \%$ of that number?

If $\frac{5a+3b}{2a-3b} = \frac{23}{5}$,then the value of $a:b$ is:

Marks of $X$ and $Y$ are in the ratio $3: 11$ respectively. If the marks of $X$ are $9$,then find the marks of $Y$.