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A shopkeeper sold 2 table of Rs 9000. 1 table he sold at 20%profit and another 20% loss . find that it's loss or gain?
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A shopkeeper sold 2 table of Rs 9000. 1 table he sold at 20%profit and...
Given Information:
- The shopkeeper sold 2 tables for Rs 9000.
- One table was sold at a 20% profit.
- The other table was sold at a 20% loss.

To find:
- Whether there was a loss or gain in the overall transaction.

Step-by-step Solution:

Step 1: Calculate the profit obtained from the first table:
- Let the cost price of the first table be x.
- Selling price of the first table = x + 20% of x = x + 0.2x = 1.2x
- Profit obtained from the first table = Selling price - Cost price = 1.2x - x = 0.2x

Step 2: Calculate the loss obtained from the second table:
- Let the cost price of the second table be y.
- Selling price of the second table = y - 20% of y = y - 0.2y = 0.8y
- Loss obtained from the second table = Cost price - Selling price = y - 0.8y = 0.2y

Step 3: Calculate the total profit or loss:
- Total profit or loss = Profit from the first table + Loss from the second table
- Total profit or loss = 0.2x + 0.2y

Step 4: Use the given information to form equations:
- The shopkeeper sold 2 tables for Rs 9000, so the total selling price = Rs 9000.
- Selling price of the first table + Selling price of the second table = Rs 9000
- 1.2x + 0.8y = 9000

Step 5: Solve the equations:
- From step 3, we have the equation: 0.2x + 0.2y = Total profit or loss
- Substituting the given value of Total selling price (Rs 9000): 0.2x + 0.2y = 9000
- Simplifying the equation: 0.2(x + y) = 9000
- Dividing both sides by 0.2: x + y = 45000

Step 6: Analyze the result:
- From step 5, we have x + y = 45000
- This equation indicates that the sum of the cost prices of both tables is Rs 45000.
- Since the cost price is positive, it implies that there is a gain in the overall transaction.

Conclusion:
- The shopkeeper gained from the overall transaction.
Community Answer
A shopkeeper sold 2 table of Rs 9000. 1 table he sold at 20%profit and...
There is no loss nor profit
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A shopkeeper sold 2 table of Rs 9000. 1 table he sold at 20%profit and another 20% loss . find that it's loss or gain?
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