A transport company charges Rs.\[5400\] to carry \[80\] quintals of weight. What will it charge to carry \[126\] Quintals of weight (same distance)?

Hint: In this question, we have to calculate the charges for the particular required.
We need to find first the charges for \[1\] quintal.
Then applying the unitary method on the weight for \[1\] quintal, we can find out the required charges.
(The unitary method is a technique for solving a problem by first finding the value of a single unit and then finding the necessary value by multiplying the single unit value.)

Complete step-by-step answer:
It is given that a transport company charges Rs.\[5400\] to carry \[80\] quintals of weight.
We need to find out the charges to carry \[126\] quintals of weight for the same distance.
By unitary method, we are going to find transport charge for the single unit.
Now, the transport company carries \[80\] quintals of weight and for that the charge is Rs.\[5400\].
Therefore, the transport company carries \[1\] quintals of weight and for that the charge is Rs.\[\dfrac{{5400}}{{80}}\].
Now, multiply the single unit value with our required weight to transport.
Hence, the transport company carries \[126\] quintals of weight and for that the charge is\[ \Rightarrow \dfrac{{5400}}{{80}} \times 126 = Rs.8505\].
$\therefore $ Transport charges to carry \[126\] quintals of weight is \[Rs.8505\].

Note: We have solved the problem by unitary method.
Now we need to know what is a unitary method?
The unitary method is a method in which you find the value of a unit and then the value of a required number of units. For simplification, always write the things to be calculated on the right-hand side and things known on the left-hand side.