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      Question

      Shreya and Supriya enter into a partnership deal with

      the investment of Rs. 6000 and Rs. 4000 respectively. After the end of the 5 months, Prerna joins them with an investment of Rs.2,000. If Supriya withdraws her capital after 4 months, how would they share a profit of Rs. 24800 at the end of 7 months?
      A Rs. 16,800, Rs. 6,400, Rs. 1,600 Correct Answer Incorrect Answer
      B Rs. 18,500, Rs. 5,100, Rs. 1,200 Correct Answer Incorrect Answer
      C Rs. 15,000, Rs. 6,600, Rs. 3,200 Correct Answer Incorrect Answer
      D Rs. 18,400, Rs. 3,000, Rs. 3,400 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      It is clear from the question that Shreya invested Rs.6,000 for 7 months, Supriya invested Rs. 4,000 for 4 months and Prerna invested Rs. 2,000 for 2 months. So,the ratio of their investments (Shreya’s : Supriya’s : Prerna’s)= 6,000 × 7 : 4,000 × 4 : 2,000 × 2 = 42,000 : 16,000 : 4,000 = 21 : 8 : 2 Let shares of Shreya, Supriya and Prerna be 21 x , 8 x and 2 x. ∴ 21 x + 8 x + 2 x = 24,800 ⇒ 31 x = 24,800⇒x = 800 ∴Shreya’s share in profit = 21 × 800 = Rs. 16,800 Supriya’s share in profit = 8 × 800 = Rs. 6,400 Prerna’s share in profit = 2 × 800 = Rs. 1,600 Method II: Shreya investment for 7 months =6000 × 7= 42,000 Supriya investment for 4 months = 4000 × 4 = 16,000 Prerna investment for 2 months=2000 × 2= 4,000 Shreya: Supriya:Prerna= 21 : 8 : 2 Shraya’s share =21/31×24800=Rs.16,800 Supriya’s share =8/31×24800=Rs.6,400 Prerna’s share =2/31×24800=Rs.1,600

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