A farmer sells 1 quintal of rice per rupee 924 and earn a profit of 12...
Sp of 1 Quinta rice-₹924
Profit=12%
Cp=100/112*924=825
Sp of 1 quintal wheat-₹924
Loss=12%
Cp=100/88*924=1050
Total sp =924+924=1848
Total cost price =1050+825=1875
Cp>sp,so loss
=>1875-1848=27
Percentage loss = (loss/c.p) x 100
1.44
This question is part of UPSC exam. View all Class 8 courses
A farmer sells 1 quintal of rice per rupee 924 and earn a profit of 12...
1. Cost Price of Rice:
Let's assume the cost price of 1 quintal (100 kg) of rice is Rs. x.
As given, the farmer sells 1 quintal of rice for Rs. 924, which means the selling price of rice is Rs. 924.
We know that selling price (S.P.) = cost price (C.P.) + profit (P)
So, 924 = x + profit
Since the profit earned is 12% of the cost price, we can write it as:
profit = 12% of x = (12/100) * x = 0.12x
Substituting the value of profit in the equation, we get:
924 = x + 0.12x
924 = 1.12x
Dividing both sides of the equation by 1.12, we get:
x = 924/1.12
x ≈ 825
Therefore, the cost price of 1 quintal of rice is approximately Rs. 825.
2. Cost Price of Wheat:
Since the farmer sells 1 quintal of wheat for the same amount as rice, the selling price of 1 quintal of wheat is also Rs. 924.
Let's assume the cost price of 1 quintal of wheat is Rs. y.
Similar to the previous case, we can write the equation:
924 = y + profit
But in this case, the farmer incurs a loss of 12% on the cost price. So, the loss can be written as:
loss = 12% of y = (12/100) * y = 0.12y
Substituting the value of loss in the equation, we get:
924 = y - 0.12y
924 = 0.88y
Dividing both sides of the equation by 0.88, we get:
y = 924/0.88
y ≈ 1050
Therefore, the cost price of 1 quintal of wheat is approximately Rs. 1050.
3. Gain or Loss Percentage on the Whole Deal:
To calculate the overall gain or loss percentage on the whole deal, we need to consider the total cost price and the total selling price.
Total cost price = Cost price of rice + Cost price of wheat
Total cost price = 825 + 1050
Total cost price = 1875
Total selling price = Selling price of rice + Selling price of wheat
Total selling price = 924 + 924
Total selling price = 1848
To find the gain or loss percentage, we use the formula:
Gain or Loss percentage = ((Total selling price - Total cost price) / Total cost price) * 100
Substituting the values, we get:
Gain or Loss percentage = ((1848 - 1875) / 1875) * 100
Gain or Loss percentage = (-27 / 1875) * 100
Gain or Loss percentage ≈ -1.44%
Therefore, the farmer incurred a loss of approximately 1.44% on the whole deal.
A farmer sells 1 quintal of rice per rupee 924 and earn a profit of 12...
A unique discovery of modern technology in 20th century is
To make sure you are not studying endlessly, EduRev has designed Class 8 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 8.