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Question

The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay?
  1. Cannot be determined
  2. Rs. 1200
  3. Rs. 2400
  4. Rs. 4800


Solution

The correct option is C Rs. 2400
Let the price of a saree and a shirt be Rs. x and Rs. y respectively.
Then, 2x+4y=1600....(i)
    and x+6y=1600....(ii)
Divide equation (i) by 2, we get the below equation.
x+2y=800.(iii)
Now subtract (iii) from (ii)
x+6y=1600()
x+2y=800
----------------
      4y=800
----------------
Therefore, y = 200.
Now apply value of y in (iii)
x+2×200=800
x+400=800
Therefore x = 400
Solving (i) and (ii) we get x = 400, y = 200.
Cost of 12 shirts = Rs. (12×200)= Rs. 2400.
 

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