Question

A grain mill earns a profit of 8 per bag of rice sold and a loss of 4 per bag of wheat sold. The mill
sells 3500 bags of rice and 9000 bags of wheat grains in a week. What is its profit or loss?​

Answer 1

let cost price of one rice and one wheat bag be x and y

selling price of 3500 rice bags

= 3500x + 8 × 3500

selling price of 9000 bag of wheat

= 9000y - 4 × 9000

total cost price = CP = 3500x + 9000y

total selling price = SP

= 3500x + 9000y + 8×3500 - 4×9000

= 3500x + 9000y - 8000

as SP is small than CP , it is loss

$loss percent = \frac{cp - sp}{cp} \times 100$

Answer 2

Given data : A grain mill earns a profit of Rs 8 per bag of rice sold and a loss of Rs 4 per bag of wheat sold. The mill sells 3500 bags of rice and 9000 bags of wheat grains in a week.

To find : What is its profit or loss ?

Solution :

⟹ profit of grain mill = Rs 8 per bag of rice

⟹ loss of grain mill = Rs 4 per bag of wheat

Here we know ;

• In a week grain mill sells 3500 bags of rice. and
• In a week grain mill sells 9000 bags of wheat.

Now, to find cost of 3500 bags of rice

⟹ cost of 3500 bags of rice = 3500 * 8

⟹ cost of 3500 bags of rice = Rs 28000

similarly,

⟹ cost of 9000 bags of wheat = 9000 * 4

⟹ cost of 9000 bags of wheat = Rs 36000

Hence, profit of grain mill on 3500 bags of rice in a week is Rs 28000 and loss of grain mill on 9000 bags of wheat in a week is Rs 36000.

Here we know loss of grain mill is greater than profit of grain mill. { loss of grain mill > profit of grain mill } Hence there is a loss in the grain mill.

Now,

⟹ Loss = cost of 9000 bags of wheat - cost of 3500 bags of rice

⟹ Loss = 36000 - 28000

⟹ Loss = Rs 8000

Answer : Hence, loss of the grain is Rs 8000 in a week.

{More Info :

• Per day loss of grain mill = 8000/7
• Per day loss of grain mill = Rs 1142.86}