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      Question

      The cost price of a rice bag is

      40% of the cost price of a sugar bag. The rice bag is sold at a 60% profit, while the sugar bag is sold at a 25% loss. If the difference between their selling prices is Rs. 16.50, what is the cost price of the rice bag?
      A Rs.60 Correct Answer Incorrect Answer
      B Rs.55 Correct Answer Incorrect Answer
      C Rs.45 Correct Answer Incorrect Answer
      D Rs.65 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let cost price of a Sugar bag be Rs. 100b Cost price of a Rice bag = Rs. 40b Selling price of Rice bag = 1.6 × 40b = Rs. 64b Selling price of Sugar bag =0.75 ×100b = Rs. 75b According to question, 75b – 64b = 16.5 11b = 16.5 b = 1.5 Cost price of a Rice bag = 40 ×1.5 = Rs. 60

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