$A$ certain sum of money was divided between $A$,$B$,and $C$ in the ratio $5: 6: 9$. If $A$ received ₹ $450$,what was the total sum divided?

If $P: Q = 8: 15$,$Q: R = 5: 8$,and $R: S = 4: 5$,then $P: S$ is equal to

If $\frac{A}{3} = \frac{B}{2} = \frac{C}{5},$ then what is the value of the ratio $(C+A)^{2} : (A+B)^{2} : (B+C)^{2} ?$

In a mixture of petrol and kerosene,the quantity of petrol is $99 \text{ litres}$. If this same quantity of petrol were present in another mixture of petrol and kerosene where the total volume is $198 \text{ litres}$ less than the actual mixture,the concentration of petrol in the actual mixture would be $13.33 \%$ less than that of the new mixture. What is the concentration (in $\%$) of petrol in the actual mixture?

Seats for Mathematics,Physics and Biology in a school are in the ratio $5:7:8$. There is a proposal to increase these seats by $40\%$,$50\%$ and $75\%$ respectively. What will be the ratio of the increased seats?

If $x: y = 5: 2,$ then $(8x + 9y) : (8x + 2y)$ is