Courses
Courses for Kids
Free study material
Offline Centres
More
Store Icon
Store

30 bags of wheat of 50 kg, each costs Rs. 2000. Find the cost of 20 bags of wheat weighing 30 kg each.

seo-qna
Last updated date: 23rd Jul 2024
Total views: 349.5k
Views today: 10.49k
Answer
VerifiedVerified
349.5k+ views
Hint: This question is simply based on the concept of unitary method. 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 by the given number of articles/objects/people.

Complete step-by-step solution:
Since this question is based on the unitary method, we know that each bag is 50 kg and here we have a total of 30 bags.
So, weight of 30 bags (50 Kg each)
 \[= 30 \times 50 \\
   = 1500\,Kg \]
Also, according to the question, 1500 Kg of wheat cost Rs. 2000.
So, cost of 1 Kg of wheat is:
\[ \Rightarrow \dfrac{{2000}}{{1500}} = \dfrac{{20}}{{15}}\]
Now the question asks us to calculate the cost of 20 such bags of 30 Kg each.
So, weight of 20 bags (30 Kg each)
\[
   = 20 \times 30 \\
   = 600\]
Therefore, we have to calculate the cost of \[600\,kg\] wheat. We will simply multiply the cost of one kg of wheat with \[600\,\]:
\[ = 600 \times \dfrac{{20}}{{15}}\]
\[ = 800\,\]
So, 20 bags of wheat of 30 Kg will cost \[Rs.\,800\].

Note: This was a simple question based on the unitary method. This unitary method has many practical applications; they are used in problems of speed, distance, time to the problems related to calculating the cost of materials.