Dea bought 100 kg of rice for rs 1100 and sold it at a loss of as much money as he received for 20kg of rice
1100 divided by 100 is 11, so he gets $11 for one kg of rice.
11x20=220
So, he lost $220.
To calculate the loss incurred by Dea, we need to find out how much money was received for selling 20 kg of rice.
Let's assume the amount received for 20 kg of rice is represented by 'x' (in Rs).
According to the given information, Dea sold the 100 kg of rice at a loss equal to 'x'.
Therefore, the selling price of 100 kg of rice will be Rs 1100 less 'x' (Rs 1100 - x).
Now, if Dea sold 100 kg of rice for Rs 1100 - 'x', the selling price per kilogram can be calculated by dividing the total selling price by the total weight sold: (1100 - x) / 100.
Since we are given that the selling price per kilogram is equal to the amount received for selling 20 kg of rice, we can set up the following equation:
(1100 - x) / 100 = x / 20
We can cross multiply and solve for 'x':
20(1100 - x) = 100x
22000 - 20x = 100x
120x = 22000
x = 22000 / 120
x = 183.33 (approximately)
Therefore, Dea received approximately Rs 183.33 for selling 20 kg of rice.
Since the loss incurred is equal to the amount received for 20 kg of rice, the loss is Rs 183.33.
So, Dea incurred a loss of Rs 183.33.
To find out the loss Dea incurred, we need to first calculate the selling price of 20 kg of rice.
Given that Dea sold 100 kg of rice at a loss equal to the amount he received for 20 kg of rice, we can assume that the selling price for 20 kg of rice is the same as the cost price per kg.
Let's calculate the cost price per kg of rice:
Cost price per kg = Total cost / Total kg
= Rs 1100 / 100 kg
= Rs 11 per kg
Therefore, Dea sold 20 kg of rice for Rs 11 per kg.
Now, we can calculate the total selling price of 20 kg of rice:
Selling price for 20 kg = Selling price per kg * Total kg
= Rs 11 * 20 kg
= Rs 220
So, Dea incurred a loss of Rs 220 when he sold 100 kg of rice.