Question

At Oruma Cooperative society, $ 100 $ kilogram of wheat grains was brought at $ 25 $ rupees a kilogram. $ 500 $ rupees was spent in washing, drying, grinding and packaging. $ 100 $ packets were made, to be sold at $ 35 $ rupees a packet. $ 20 $ packets of powder were spoiled and the remaining solid. Did they make a profit or suffer a loss in this sale? How much?

Answer 1

Hint: As we know that the above given question is a word problem. A problem is a mathematical question written as one sentence or more describing a real life scenario where that problem needs to be solved by the way of mathematical calculation. We can solve the given problem by applying the method of mathematical numbers as least or highest number of multiple required.

Complete step by step solution:
We will first write down what is given in the question. WE have wheat of $ 100kg $ at the rate of $ rs25 $ .
WE have spent on washing, drying, grinding and all and these are the expenses which is a total of $ Rs500 $ . And then $ 100 $ packets were sold at the rate $ 35 $ and $ 20 $ packets were spoiled.
Now the total price or the cost price of wheat sold is $ 100 \times 25 = 2500 $ .
Another extra expense is $ 500 $ , Therefore total expenses are $ 2500 + 500 = 3000 $ .
And then we have been given that out of $ 100 $ packets, $ 20 $ packets are spoiled.
So total sold packets are $ 100 - 20 = 80 $ .
Then the selling price or revenue of $ 80 $ packets at the rate of $ 35 $ is
$ 80 \times 35 = 2800 $ .
So the profit is Revenue $ - $ Cost i.e. $ 2800 - 3000 $ .
It gives us the negative value $ ( - 200) $ .
Hence the required loss is $ Rs.200 $ .

Note: We should always be careful what the question is asking i.e. the loss or the profit and about how much. Based on the requirement and by observing all the necessary information that is already available in the question we gather the information and then create an equation or by unitary method whichever is applicable, then we solve the problem and then verify the answer by putting the value in the problem and see whether we get the same answer or not.