Question

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

Answer 1

Hint:First, find out the charge of transportation for one quintal. Then multiply this value by required weight, to get the value of charge for transportation.

Complete step-by-step answer:
It is given in the question, that transportation charge for carrying 80 quintals is Rs. 5400.
$\therefore $ The charge for one quintal weight = Rs. $\dfrac{{5400}}{{80}}$
$\therefore $ The charge for 126 quintals weight = Rs. $\dfrac{{5400}}{{80}} \times 126$
We will simplify the above expression as bellow,
$
   \Rightarrow \dfrac{{540}}{8} \times 126 \\
   \Rightarrow \dfrac{{135 \times 126}}{2} \\
   \Rightarrow 135 \times 63 \\
   \Rightarrow 8505 \\
 $
$\therefore $ The required charge for transportation of 126 quintals weight will be Rs. 8505.

Additional Information:The unitary method is the technique to solve problems by first finding the value of a single unit. Then after finding the necessary value by multiplying the single unit value. Actually, this method is useful to find the value of a unit from the value of a multiple, and hence the value of a multiple. This method came into existence during the nineteenth century. For example, if the cost of 5 toys is Rs. 294. Then what will be the cost of 2 toys? This type of problem can be solved easily.

Note:In our daily life while buying items such as vegetables etc, the seller mentions the wholesale prices. Then we can find out the price for some unit value by dividing through given values. Further, then we can use this to calculate the price of multiple units, by knowing the knowledge of the cost of a single unit. This is the base of an interesting mathematical method and popularly known as the unitary method.