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The cost price of a set of 2 pants + 4 shirts or 1 pants + 6 shirts is Rs. 5,600. A shopkeeper decided to sell them separately. He sold 10 shirts for Rs. 6,000. Find the amount of profit or loss per shirt.
- a)Profit Rs. 1000
- b)Loss Rs. 1000
- c)Profit Rs. 100
- d)Loss Rs. 100
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The cost price of a set of 2 pants + 4 shirts or 1 pants + 6 shirts is...
Let the cost price of one shirt is Rs. S and that of one pant is Rs. P.
2P + 4S = 5600 ----(1)
P + 6S = 5600 ----(2)
Multiplying the second equation with 2 and subtracting the first equation from it:
⇒ (12S - 4S) = 5600
∴ S = 700
Putting the value of S in eq (2):
∴ P = (5600 - 4200) = 1400
Sell Price of 10 shirts = Rs. 6000
∴ Sell price of 1 shirt = Rs. 600
Cost Price of one shirt = Rs. 700
∴ Loss suffered = Rs. (700 - 600) = Rs. 100
Most Upvoted Answer
The cost price of a set of 2 pants + 4 shirts or 1 pants + 6 shirts is...
Understanding the Cost Price
The cost price is given for two scenarios:
- **2 pants + 4 shirts = Rs. 5,600**
- **1 pants + 6 shirts = Rs. 5,600**
To find the cost of one shirt and one pant, we can set up equations.
Setting Up the Equations
Let:
- **P = Cost price of one pant**
- **S = Cost price of one shirt**
From the first scenario:
- **2P + 4S = 5600** (Equation 1)
From the second scenario:
- **P + 6S = 5600** (Equation 2)
Simplifying the Equations
From Equation 2:
- **P = 5600 - 6S**
Substituting P in Equation 1:
- **2(5600 - 6S) + 4S = 5600**
- **11200 - 12S + 4S = 5600**
- **11200 - 8S = 5600**
- **8S = 11200 - 5600**
- **8S = 5600**
- **S = 700**
Now substituting S back to find P:
- **P = 5600 - 6(700)**
- **P = 5600 - 4200**
- **P = 1400**
Calculating Selling Price and Profit/Loss
The shopkeeper sold 10 shirts for Rs. 6,000:
- **Selling Price per shirt = 6000 / 10 = 600**
Cost Price per shirt is Rs. 700:
- **Loss = Cost Price - Selling Price = 700 - 600 = 100**
Thus, the shopkeeper incurs a loss of Rs. 100 per shirt.
Conclusion
The correct answer is:
- **Loss Rs. 100 (Option D)**.
The cost price is given for two scenarios:
- **2 pants + 4 shirts = Rs. 5,600**
- **1 pants + 6 shirts = Rs. 5,600**
To find the cost of one shirt and one pant, we can set up equations.
Setting Up the Equations
Let:
- **P = Cost price of one pant**
- **S = Cost price of one shirt**
From the first scenario:
- **2P + 4S = 5600** (Equation 1)
From the second scenario:
- **P + 6S = 5600** (Equation 2)
Simplifying the Equations
From Equation 2:
- **P = 5600 - 6S**
Substituting P in Equation 1:
- **2(5600 - 6S) + 4S = 5600**
- **11200 - 12S + 4S = 5600**
- **11200 - 8S = 5600**
- **8S = 11200 - 5600**
- **8S = 5600**
- **S = 700**
Now substituting S back to find P:
- **P = 5600 - 6(700)**
- **P = 5600 - 4200**
- **P = 1400**
Calculating Selling Price and Profit/Loss
The shopkeeper sold 10 shirts for Rs. 6,000:
- **Selling Price per shirt = 6000 / 10 = 600**
Cost Price per shirt is Rs. 700:
- **Loss = Cost Price - Selling Price = 700 - 600 = 100**
Thus, the shopkeeper incurs a loss of Rs. 100 per shirt.
Conclusion
The correct answer is:
- **Loss Rs. 100 (Option D)**.
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The cost price of a set of 2 pants + 4 shirts or 1 pants + 6 shirts is Rs. 5,600. A shopkeeper decided to sell them separately. He sold 10 shirts for Rs. 6,000. Find the amount of profit or loss per shirt.a)Profit Rs. 1000b)Loss Rs. 1000c)Profit Rs. 100d)Loss Rs. 100Correct answer is option 'D'. Can you explain this answer?
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The cost price of a set of 2 pants + 4 shirts or 1 pants + 6 shirts is Rs. 5,600. A shopkeeper decided to sell them separately. He sold 10 shirts for Rs. 6,000. Find the amount of profit or loss per shirt.a)Profit Rs. 1000b)Loss Rs. 1000c)Profit Rs. 100d)Loss Rs. 100Correct answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The cost price of a set of 2 pants + 4 shirts or 1 pants + 6 shirts is Rs. 5,600. A shopkeeper decided to sell them separately. He sold 10 shirts for Rs. 6,000. Find the amount of profit or loss per shirt.a)Profit Rs. 1000b)Loss Rs. 1000c)Profit Rs. 100d)Loss Rs. 100Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The cost price of a set of 2 pants + 4 shirts or 1 pants + 6 shirts is Rs. 5,600. A shopkeeper decided to sell them separately. He sold 10 shirts for Rs. 6,000. Find the amount of profit or loss per shirt.a)Profit Rs. 1000b)Loss Rs. 1000c)Profit Rs. 100d)Loss Rs. 100Correct answer is option 'D'. Can you explain this answer?.
The cost price of a set of 2 pants + 4 shirts or 1 pants + 6 shirts is Rs. 5,600. A shopkeeper decided to sell them separately. He sold 10 shirts for Rs. 6,000. Find the amount of profit or loss per shirt.a)Profit Rs. 1000b)Loss Rs. 1000c)Profit Rs. 100d)Loss Rs. 100Correct answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The cost price of a set of 2 pants + 4 shirts or 1 pants + 6 shirts is Rs. 5,600. A shopkeeper decided to sell them separately. He sold 10 shirts for Rs. 6,000. Find the amount of profit or loss per shirt.a)Profit Rs. 1000b)Loss Rs. 1000c)Profit Rs. 100d)Loss Rs. 100Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The cost price of a set of 2 pants + 4 shirts or 1 pants + 6 shirts is Rs. 5,600. A shopkeeper decided to sell them separately. He sold 10 shirts for Rs. 6,000. Find the amount of profit or loss per shirt.a)Profit Rs. 1000b)Loss Rs. 1000c)Profit Rs. 100d)Loss Rs. 100Correct answer is option 'D'. Can you explain this answer?.
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