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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…

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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.
  • AProfit Rs. 1000
  • BLoss Rs. 1000
  • CProfit Rs. 100
  • DLoss Rs. 100
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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