Question

If the cost of 15 meters of a cloth is Rs. 981, what length of this cloth can be purchased for Rs. 1308?

Answer 1

Hint: Using the unitary technique, first determine the cost of 1 meter of cloth by dividing the cost of 15 meters of cloth by 15, and then divide the cost of 1 meter of cloth by 15. To determine the length of this cost, purchase Rs.1308 and divide the cost of 1 meter of cloth. The length of cloth will then be valued at Rs.1308.

Complete step-by-step solution:
Here,
Given: cost of 15 meters of cloth is Rs 981;
First of all we should understand the unitary method. So the unitary method is a technique for solving a problem by first finding the value of a single unit value.
Now, as we know what unitary method is, let’s solve the problem
So, the cost of 15 meter \[=\text{Rs}\,\,981\]
So, cost of 1 meter cloth \[=\text{Rs}\,\,\dfrac{981}{15}\]
After simplifying this further we will get \[=\text{Rs}\,\,65.4\]
So, cost of 1 meter cloth \[=\text{Rs}\,\,65.4\]
Now, here in the given question cost is given that means we have to find the length of cloth for Rs.1308
Cloth for Rs.1308 \[=\dfrac{1308}{65.4}=20\,\text{m}\]
Since, the cost of 1 meter cloth is Rs 65.4 so, in order to get the length of cloth can be purchased for Rs 1308, and simply we have to divide by cost of 1 meter length.
\[\therefore \]20 meters of cloth can be purchased for Rs.1308.
So, the correct answer is 20 meters.

Note: A unitary approach, in essence, is used to calculate the value of a unit from the value of a multiple, and hence the value of a multiple. We utilized the unitary approach to acquire the length of cloth at which the cost of cloth is given, then divided it by the number for which the value was needed.