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      Question

      The marked price of two items, 'S' and 'R,' is

      identical. Item 'S' is sold with a single discount of 18%, while item 'R' is sold with two successive discounts of 10% and 20%. The difference in the selling prices of the two items is ₹400. Additionally, the combined cost price of both items is ₹4000. Determine whether there is an overall profit or loss from selling both items and by how much.
      A Rs. 2400 Correct Answer Incorrect Answer
      B Rs. 1490 Correct Answer Incorrect Answer
      C Rs. 2160 Correct Answer Incorrect Answer
      D Rs. 1160 Correct Answer Incorrect Answer
      E Rs. 1600 Correct Answer Incorrect Answer

      Solution

      Let the marked price of both the items be Rs. 100a So, selling price of item 'S' = 100a X 0.82 = Rs. 82a Also, selling price of item 'R' = 100a X 0.9 X 0.8 = Rs. 72a ATQ, (82a - 72a) = 400 Or, 10a = 400 So, 'a' = 40 So, total selling price = Rs. (82a + 72a) = Rs. 154a = Rs. 154 X 40 = Rs. 6160 Therefore, overall profit on selling both items = 6160 - 4000 = Rs. 2160

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