Question

A carpet of dimensions $22 \times 17$ m was purchased at the rate of $Rs.2.50$ per square metre. What was the price paid for it?
$\left( {\text{A}} \right)$ Rs.\[880\]
$\left( {\text{B}} \right)$ Rs.\[841.50\]
$\left( {\text{C}} \right)$ Rs.\[935\]
$\left( {\text{D}} \right)$ Rs.\[990\]

Answer 1

Hint: Firstly, we need to find out the area of the carpet and it is given the price taken in per carpet in square metre.
Also, we have to find out the total price will be the product of the area of the carpet and price per square metre.
Finally we get the required answer.

Complete step-by-step answer:
It is given that the carpet of dimension, length and breadth are $22$ and $17$ in meters.
Now we have to find out,
Area of the carpet\[ = {\text{length }} \times {\text{ breadth}}\]
$ = 22 \times 17$ Square metre
On multiplying the terms we get,
$ = 374$ Square metre.
$\therefore $ The total area of the carpet is equal to $374$ Square metre.
Also, it is stated in the question that price per metre of the carpet is $Rs.2.50$
Now we have to product the total area of the carpet and the price of that, we get
Total cost which is to be paid for the whole carpet= $2.50 \times 374$
On multiplying we get,
$ = 935$
So the price paid for the whole carpet is Rs. $935$
$\therefore $ The price paid for the whole carpet is Rs. $935$

Hence, the correct option is C.

Note: The concept of this type of arithmetic question is very easy.
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.