If $5A = 12B = 13C$,find $A:B:C$.

Ajay,Aman,Suman,and Geeta rented a house and agreed to share the rent as follows:
Ajay:Aman $= 8: 15$,Aman:Suman $= 5: 8$,and Suman:Geeta $= 4: 5$. The part of the rent paid by Suman will be

The salaries of $A, B, C$ are in the ratio $2:3:5$. If increments of $15\%$,$10\%$,and $20\%$ are allowed respectively in their salaries,then what will be the new ratio of their salaries?

$94$ is divided into two parts in such a way that the fifth part of the first and the eighth part of the second are in the ratio $3:4$. The first part is:

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?

If $A$ and $B$ are in the ratio $4:5$ and the difference of their squares is $81,$ what is the value of $A?$