Question

The cost of 37 m of silk is Rs. 6290. What length of this silk can be purchased for Rs. 4420?

Answer 1

Hint: The cost of 37 m silk is given and we have to find the length of silk which can be bought for Rs. 4420. So, by using the unitary method we will find the cost of 1 m of silk. And then, we will divide the cost of 1 m of silk with the amount given in the question to find the length of silk.

Complete step-by-step answer:
Given: The cost of 37 m of silk is Rs. 6290.
We have to find the length of silk which can be bought for Rs. 4420.
By using the unitary method we will find the cost of 1 m of silk. But first we will discuss the 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. So, now we will find the cost of 1 m and then the length of silk which can be bought in Rs. 4420.
Cost of 1 m of silk $ = \dfrac{{6290}}{{37}} $
Cost of 1m of silk $ = 170Rs. $
Now, to find the length of silk which can be bought in Rs. 4420. We will divide the cost of 1 m of silk with Rs. 4420.
 $ = \dfrac{{4420}}{{170}} $
 $ = 26\;m $
So, 26 m of silk can be purchased for Rs. 4420.
So, the correct answer is “Option B”.

Note: In this type of question, where the value of multiple things is given and we need to find the value of some other number. Then, we will always use the unitary method. 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.