Question

If the cost of \[14m\] cloth is Rs. $18990$, find the cost of $6m$ cloth.

Answer 1

Hint: In this question firstly we have to find the price of 1m cloth.
Here we apply a unitary method; it is an easy way to find the exact solution.
Finally we get the required solution.

Complete step-by-step answer:
It is given that the price of \[14m\] cloth is Rs. $18990$
First we have to find out the price of 1m cloth,
So we can divide the total price of \[14m\] cloth Rs. $18990$ by given total quantity of cloth \[\left( {14m} \right)\]
Therefore cost of $1m$ cloth is $\dfrac{{18990}}{{14}} = 1356.42857$
Now, we can get the cost of $6m$ cloth,
By multiplying the price of $1m$ cloth with $6m$
Therefore cost of $6m$ cloth is $1356.42587 \times 6 = 8138.57142$
Thus, the cost of $6m$ cloth is Rs. $8138.57142$

Note: Unitary method can be regarded as a technique which is used to get the value of a single unit from a given multiple and then we can easily find out the value of the required number of units.
For example, If you have purchased $10$ pens at the price of Rs. $600$ then by applying a unitary method we can easily determine the value of a single unit.
Moreover, after getting the price of a single unit we can find out the value of the required number of units that is asked in the question.
Unitary method is applied in solving most of the mathematical questions, be it a problem of speed, time distance, or problems relating to cost of particular goods.
But specifically, it is used in determining the price of any good or calculation of profit or loss in a business.