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      Question

      Anu has two items A and B. If she sells A at a loss of

      25% and B at a profit of 20%, she gets break-even. If she sells A at profit of 30% and B at a loss of 20%, she would have a profit of ₹ 288. What is the cost price of A?
      A ₹ 5,670 Correct Answer Incorrect Answer
      B ₹ 7,200 Correct Answer Incorrect Answer
      C ₹ 6,800 Correct Answer Incorrect Answer
      D ₹ 5,760 Correct Answer Incorrect Answer

      Solution

      Let the cost price of article A and B be A and B respectively Therefore, 0.75 + 1.2B = A + B 0.25A = 0.2B A = 0.8B ATQ, 1.3A + 0.8B = A + B + 288  1.04B + 0.8B = 0.8B + B + 288 0.04B = 288 B = 288/0.04 = 7200 CP of article A = 7200 × 0.8 = 5760

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