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      Question

      A loss of 10(1/2) % gets converted into a profit of

      11(3/5) % when the selling price is increased by Rs 375.70. The cost price (in Rs) of the article is:
      A 1500 Correct Answer Incorrect Answer
      B 1700 Correct Answer Incorrect Answer
      C 1300 Correct Answer Incorrect Answer
      D 1100 Correct Answer Incorrect Answer

      Solution

      Let the CP of the article be 100a. Now, SP for 1st case = 100a - 100a × 10(1/2) % = 89.5a SP for 2nd case = 100a + 100a × 11(3/5) % = 111.6a According to the question, 111.6a - 89.5a = 375.70   22.1a = 375.70   a = 375.70/22.1   a = 17 So, cost price = 100 × 17   Rs. 1700 ∴ The cost price (in Rs.) of the article is 1700. Second method- Given – loss% = 10(1/2) and profit% 11(3/5) Increased selling price = 375.70 Let cost price =100 ATQ- 10(1/2) +11(3/5) = 375.70 21/2 + 58/5 = 375.70 (105 + 116) /10 =375.70 1 =3757/221 = 17 Then CP = 100×17 = 1700 Rs

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