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Meera bought two cows for Rs 10000. If she sold one at aliss of 30% and other at a profit of 30% and then she found that each cows was sold for the same price, find the percentage of profit or loss in whole transaction.?
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Meera bought two cows for Rs 10000. If she sold one at aliss of 30% an...
Step-by-step explanation:
when sale value is equal
xy/100
30�30/100
=9%
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Meera bought two cows for Rs 10000. If she sold one at aliss of 30% an...
Solution:
Let's assume the cost price of the first cow is x. Therefore, the cost price of the second cow will be 10000 - x, as both cows were bought for a total of Rs 10000.
Selling the first cow:
If Meera sells the first cow at a loss of 30%, she will sell it for (100 - 30)% = 70% of the cost price. So, the selling price of the first cow will be 0.7x.
Selling the second cow:
If Meera sells the second cow at a profit of 30%, she will sell it for (100 + 30)% = 130% of the cost price. So, the selling price of the second cow will be 1.3(10000 - x) = 13000 - 1.3x.
Given that both cows were sold for the same price, we can equate the selling prices:
0.7x = 13000 - 1.3x
Simplifying the equation, we get:
2x = 13000
x = 6500
Cost price of the first cow:
Since the cost price of the first cow is x, which we found to be 6500, the cost price of the first cow is Rs 6500.
Cost price of the second cow:
The cost price of the second cow can be found by subtracting the cost price of the first cow from the total amount spent on both cows:
Cost price of the second cow = 10000 - 6500 = Rs 3500
Profit/Loss Calculation:
- Profit on the first cow = Selling price of the first cow - Cost price of the first cow = 0.7x - x = -0.3x
- Profit on the second cow = Selling price of the second cow - Cost price of the second cow = (13000 - 1.3x) - 3500 = -1.3x + 9500
The total profit/loss in the transaction can be calculated by adding the profits/losses on both cows:
Total profit/loss = Profit on the first cow + Profit on the second cow = -0.3x + (-1.3x + 9500)
Simplifying the expression, we get:
Total profit/loss = -1.6x + 9500
Substituting the value of x, we can find the total profit/loss:
Total profit/loss = -1.6(6500) + 9500 = -10400 + 9500 = -900
Therefore, the total profit/loss in the transaction is Rs 900, which is a loss.
Percentage of Profit/Loss:
To find the percentage of profit/loss, we divide the total profit/loss by the total cost price and multiply by 100:
Percentage of profit/loss = (Total profit/loss / Total cost price) x 100 = (-900 / 10000) x 100 = -9%
Thus, there is a 9% loss in the whole transaction.
Let's assume the cost price of the first cow is x. Therefore, the cost price of the second cow will be 10000 - x, as both cows were bought for a total of Rs 10000.
Selling the first cow:
If Meera sells the first cow at a loss of 30%, she will sell it for (100 - 30)% = 70% of the cost price. So, the selling price of the first cow will be 0.7x.
Selling the second cow:
If Meera sells the second cow at a profit of 30%, she will sell it for (100 + 30)% = 130% of the cost price. So, the selling price of the second cow will be 1.3(10000 - x) = 13000 - 1.3x.
Given that both cows were sold for the same price, we can equate the selling prices:
0.7x = 13000 - 1.3x
Simplifying the equation, we get:
2x = 13000
x = 6500
Cost price of the first cow:
Since the cost price of the first cow is x, which we found to be 6500, the cost price of the first cow is Rs 6500.
Cost price of the second cow:
The cost price of the second cow can be found by subtracting the cost price of the first cow from the total amount spent on both cows:
Cost price of the second cow = 10000 - 6500 = Rs 3500
Profit/Loss Calculation:
- Profit on the first cow = Selling price of the first cow - Cost price of the first cow = 0.7x - x = -0.3x
- Profit on the second cow = Selling price of the second cow - Cost price of the second cow = (13000 - 1.3x) - 3500 = -1.3x + 9500
The total profit/loss in the transaction can be calculated by adding the profits/losses on both cows:
Total profit/loss = Profit on the first cow + Profit on the second cow = -0.3x + (-1.3x + 9500)
Simplifying the expression, we get:
Total profit/loss = -1.6x + 9500
Substituting the value of x, we can find the total profit/loss:
Total profit/loss = -1.6(6500) + 9500 = -10400 + 9500 = -900
Therefore, the total profit/loss in the transaction is Rs 900, which is a loss.
Percentage of Profit/Loss:
To find the percentage of profit/loss, we divide the total profit/loss by the total cost price and multiply by 100:
Percentage of profit/loss = (Total profit/loss / Total cost price) x 100 = (-900 / 10000) x 100 = -9%
Thus, there is a 9% loss in the whole transaction.
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Meera bought two cows for Rs 10000. If she sold one at aliss of 30% and other at a profit of 30% and then she found that each cows was sold for the same price, find the percentage of profit or loss in whole transaction.?
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Meera bought two cows for Rs 10000. If she sold one at aliss of 30% and other at a profit of 30% and then she found that each cows was sold for the same price, find the percentage of profit or loss in whole transaction.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Meera bought two cows for Rs 10000. If she sold one at aliss of 30% and other at a profit of 30% and then she found that each cows was sold for the same price, find the percentage of profit or loss in whole transaction.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Meera bought two cows for Rs 10000. If she sold one at aliss of 30% and other at a profit of 30% and then she found that each cows was sold for the same price, find the percentage of profit or loss in whole transaction.?.
Meera bought two cows for Rs 10000. If she sold one at aliss of 30% and other at a profit of 30% and then she found that each cows was sold for the same price, find the percentage of profit or loss in whole transaction.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Meera bought two cows for Rs 10000. If she sold one at aliss of 30% and other at a profit of 30% and then she found that each cows was sold for the same price, find the percentage of profit or loss in whole transaction.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Meera bought two cows for Rs 10000. If she sold one at aliss of 30% and other at a profit of 30% and then she found that each cows was sold for the same price, find the percentage of profit or loss in whole transaction.?.
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