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      Question

      Rahul bought two articles for Rs. 9,000. He sold one of

      them at a profit of 30% while the other at a loss of 10%. If he earned an overall profit of 8% on selling both articles, then find the cost price of the article which is sold at loss of 10%.
      A Rs.8000 Correct Answer Incorrect Answer
      B Rs.6500 Correct Answer Incorrect Answer
      C Rs.4950 Correct Answer Incorrect Answer
      D Rs.8240 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let cost price of the article sold at a profit of 30% = Rs. x Cost price of the article sold at a loss of 10% = Rs. (9000 − x) ATQ, (1.30 × x) + {0.90 × (9000 − x)} = 1.08 × 9000 Or, 1.30x + 8100 − 0.90x = 9720 Or, 0.40x = 1620 So, x = 4050 Therefore, cost price of the article sold at a loss of 10% = 9000 − 4050 = Rs. 4,950

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