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      Question

      5 carpenters and 3 painters earn Rs. 4,000 in 5 days. 8

      carpenters and 4 painters earn Rs. 7,200 in 6 days. What will 6 carpenters and 2 painters earn in 4 days?
      A Rs. 3,200 Correct Answer Incorrect Answer
      B Rs. 2,200 Correct Answer Incorrect Answer
      C Rs. 3,430 Correct Answer Incorrect Answer
      D Rs. 7,550 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let carpenter earns x/day, painter earns y/day

      5x + 3y = 4000 / 5 = 800 ……… (i)

      8x + 4y = 7200 / 6 = 1200 ……… (ii)

      Multiply (i) by 4: 20x + 12y = 3200

      Multiply (ii) by 3: 24x + 12y = 3600

      Subtract: 4x = 400 ⇒ x = 100

      Put in (i): 5×100 + 3y = 800 ⇒ 500 + 3y = 800 ⇒ y = 100

      Now, earnings of 6 carpenters and 2 painters in 4 days:

      = (6×100 + 2×100) × 4 = (600 + 200) × 4 = 800 × 4 = Rs. 3,200

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